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group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Algebraic theory of abelian varieties, Automorphisms of surfaces and higher-dimensional varieties, Group actions on varieties or schemes (quotients) Abelian varieties as automorphism groups of smooth projective varieties
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) hyperelliptic curve; automorphism of compact Riemann surface; Fuchsian group Kleinian groups (aspects of compact Riemann surfaces and uniformization), Compact Riemann surfaces and uniformization, Special algebraic curves and curves of low genus A note on the correspondence between Fuchsian groups and algebraic curves
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) algebraic curve of genus 3; characteristic 2; automorphism group Tufféry, S.: LES automorphismes des courbes de genre 3 de caractéristique 2, C. R. Acad. sci. Paris sér. I math. 321, No. 2, 205-210 (1995) Special algebraic curves and curves of low genus, Finite ground fields in algebraic geometry, Automorphisms of curves Automorphisms of genus 3 curves in characteristic 2
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) rational points; relative trace map Özbudak, F.; Saygı, Z., Rational points of the curve \(y^{q^n} - y = \gamma x^{q^h + 1} - \alpha\) over \(F_{q^m}\), (Larcher, G.; Pillichshammer, F.; Winterhof, A.; Xing, C., Applied algebra and number theory, (2014), Cambridge University Press), 297-306 Curves over finite and local fields, Polynomials over finite fields, Rational points Rational points of the curve \(y^{q^n}-y=\gamma x^{q^h+1}-\alpha\) over \(\mathbb F_{q^m}\)
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) global function fields; Kummer criterion; divisibility; p-class groups Goss, D, Units and class groups in the arithmetic of function fields, Bull. Am. Math. Soc., 13, 131-132, (1985) Arithmetic theory of algebraic function fields, Finite ground fields in algebraic geometry Units and class-groups in the arithmetic theory of function fields
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) non-cuspidal rational points; quotient of the modular curve; action of the Atkin-Lehner involution; Mordell-Weil group; complex multiplication Momose, F., Rational points on the modular curves \(X_0^+(N)\), J. Math. Soc. Jpn., 39, 269-286, (1978) Arithmetic ground fields for curves, Complex multiplication and abelian varieties, Rational points, Holomorphic modular forms of integral weight Rational points on the modular curves \(X^ +_ 0(N)\)
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Hénon maps; indeterminacy points; Green functions; filled Julia set Bisi, C., On commuting polynomial automorphisms of \(\mathbb{C}^{2}\), Publ. Mat., 48, 227-239, (2004) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets, Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables On commuting polynomial automorphisms of \(\mathbb C^2\)
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Fundamental group; varieties isogenous to a product of curves; quotient varieties; quotient group. Dedieu, T.; Perroni, F.: The fundamental group of a quotient of a product of curves. J. group theory 15, No. 3, 439-453 (2012) Homotopy theory and fundamental groups in algebraic geometry, Surfaces of general type The fundamental group of a quotient of a product of curves
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) group of biregular automorphisms; complex K3 surfaces; nodal curves on a K3-like surface; anticanonical basic surface B. Harbourne, ``Automorphisms of K\(3\)-like rational surfaces'' in Algebraic Geometry, Bowdoin, 1985 (Brunswick, Maine, 1985) , Proc. Symp. Pure Math. 46 , Part 2, Amer. Math. Soc., Providence, 1987, 17-28. Special surfaces, Group actions on varieties or schemes (quotients), Rational and unirational varieties, \(K3\) surfaces and Enriques surfaces, Picard groups Automorphisms of K3-like rational surfaces
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Coverings of curves, fundamental group Galois group at each point for some self-dual curves
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) affine variety; group of automorphisms; fixed point of a polynomial automorphism Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Group actions on affine varieties On the set of fixed points of a polynomial automorphism
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Genus of a curve; locally principal divisors; morphisms; homology Curves in algebraic geometry, (Co)homology theory in algebraic geometry Morphisms on an algebraic curve and divisor classes in the self product
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Riemann-Hurwitz formula T. Szemberg: Automorphisms of Riemann surfaces with two fixed points , Ann. Polon. Math. 55 (1991), 343-347. Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Coverings of curves, fundamental group, Compact Riemann surfaces and uniformization, Riemann surfaces; Weierstrass points; gap sequences Automorphisms of Riemann surfaces with two fixed points
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Algebraic cycles, Representation theory for linear algebraic groups, Transcendental field extensions, Representation theory of groups, Birational geometry Representations of field automorphism groups
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) \(\mathbb{A}^1\)-fibration; affine surface; Gizatullin surface; automorphism; standard completion; birational morphism Blanc, J; Dubouloz, A, Automorphisms of \(\mathbb{A}^1\)-fibered surfaces, Trans. Am. Math. Soc., 363, 5887-5924, (2011) Affine fibrations, Group actions on affine varieties, Classification of affine varieties, Rational and birational maps Automorphisms of \(\mathbb {A}^{1}\)-fibered affine surfaces
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) automorphism groups of surfaces; hyperelliptic surfaces; superelliptic surfaces; strong branching Families, moduli, classification: algebraic theory, Automorphisms of surfaces and higher-dimensional varieties, Compact Riemann surfaces and uniformization, Classification theory of Riemann surfaces Using strong branching to find automorphism groups of \(n\)-gonal surfaces
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) automorphisms; ordinary function field Korchmáros, G.; Montanucci, M.; Speziali, P., Transcendence degree one function fields over a finite field with many automorphisms, J. Pure Appl. Algebra, 222, 7, 1810-1826, (2018) Automorphisms of curves, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of polynomial rings over finite fields Transcendence degree one function fields over a finite field with many automorphisms
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) absolutely simple algebraic group; group of rational points ĉernusov V, On the projective simplicity of certain groups of rational points over algebraic number fields,Math. USSR Izv. 34 (1990) 409--423 Rational points, Linear algebraic groups over global fields and their integers, Simple groups On projective simplicity of certain groups of rational points over algebraic number fields
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) affine variety; automorphism; graded algebra; torus action; trinomial Automorphisms of surfaces and higher-dimensional varieties, Group actions on affine varieties, Actions of groups on commutative rings; invariant theory, Group actions on varieties or schemes (quotients) The automorphism group of a rigid affine variety
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) automorphism; Artin-Schreier cover; extraspecial group Lehr, C.; Matignon, M., Automorphism groups for \textit{p}-cyclic covers of the affine line, Compos. Math., 141, 1213-1237, (2005) Automorphisms of curves, Families, moduli of curves (algebraic), Computational aspects of algebraic curves, Finite nilpotent groups, \(p\)-groups Automorphism groups for \(p\)-cyclic covers of the affine line
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) smooth hypersurface; automorphism; Galois point; Galois extension Hypersurfaces and algebraic geometry, Separable extensions, Galois theory, Automorphisms of surfaces and higher-dimensional varieties Linear automorphisms of smooth hypersurfaces giving Galois points
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) affine hyperbolic curves; locally exact differentials Raynaud, M.: Sur le groupe fondamental d'une courbe complète en caractéristique p>0. Proc. sympos. Pure math. 70, 335-351 (2002) Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Coverings in algebraic geometry, Étale and other Grothendieck topologies and (co)homologies, Finite ground fields in algebraic geometry, Coverings of curves, fundamental group On the fundamental group of a complete curve in characteristic \(p>0\)
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Kambayashi's linearization problem; polynomial automorphism; Białynicki-Birula theorem Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Actions of groups on commutative rings; invariant theory, Group actions on affine varieties Subgroups of polynomial automorphisms with diagonalizable fibers
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Compact Riemann surfaces and uniformization, Riemann surfaces; Weierstrass points; gap sequences, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) Riemann surface with cyclic automorphisms group.
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Heegner point; Shimura curve; Cherednik-Drinfeld prime; Atkin-Lehner involution Arithmetic aspects of modular and Shimura varieties, Modular and Shimura varieties Automorphisms and reduction of Heegner points on Shimura curves at Čerednik-Drinfeld primes
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Riemann surfaces; Fuchsian groups; automorphisms Hidalgo, Rubén~A., Genus zero \(p\)-groups of automorphisms of riemann surfaces, (2016) Compact Riemann surfaces and uniformization, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Automorphisms of curves Automorphisms of non-cyclic \(p\)-gonal Riemann surfaces
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) automorphisms of polynomial algebras; Nagata automorphism; nonlinear orthogonal group Lamy, S.: LES automorphismes polynomiaux de C3 préservant une forme quadratique. C. R. Acad. sci. Paris sér. I 328, 883-886 (1999) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Actions of groups on commutative rings; invariant theory, Group actions on affine varieties Polynomial automorphisms of \(\mathbb{C}^3\) preserving a quadratic form
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) rational cohomology groups of moduli space of stable \(n\)-pointed genus \(g\) curves Arbarello, E.; Cornalba, M., Calculating cohomology groups of moduli spaces of curves via algebraic geometry, Publ. Math. Inst. Hautes Études Sci., 88, 97-127, (1998) Families, moduli of curves (algebraic), Étale and other Grothendieck topologies and (co)homologies, Algebraic moduli problems, moduli of vector bundles Calculating cohomology groups of moduli spaces of curves via algebraic geometry
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) platonic surface; rotation group; regular maps Automorphisms of curves, Riemann surfaces A new approach to the automorphism group of a platonic surface
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) hyperelliptic modular curves Hasegawa, Y., Hyperelliptic modular curves \(X_0^\ast(N)\), Acta Arith., 81, 4, 369-385, (1997), MR 1472817 Holomorphic modular forms of integral weight, Special algebraic curves and curves of low genus, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Riemann surfaces; Weierstrass points; gap sequences, Arithmetic aspects of modular and Shimura varieties Hyperelliptic modular curves \(X_ 0^*(N)\)
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) automorphism of a Klein surface; period matrix; group of automorphisms Riera, J. London Math. Soc. 51 pp 442-- (1995) Riemann surfaces; Weierstrass points; gap sequences, Birational automorphisms, Cremona group and generalizations Automorphisms of abelian varieties associated with Klein surfaces
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Algebraic function; monodromy; Riemann surface; connectedness. Riemann surfaces; Weierstrass points; gap sequences On the monodromy group of an algebraic function belonging to a given Riemann surface
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) polynomial automorphism; affine spaces Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) Normal subgroups generated by a single polynomial automorphism
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) birational automorphisms; minimal rational surfaces V. A. Iskovskikh and S. L. Tregub, ''On birational automorphisms of rational surfaces,''Izv. Akad. Nauk SSSR, Ser. Mat.,55, No. 2, 254--283 (1991). Birational automorphisms, Cremona group and generalizations, Rational and ruled surfaces, Automorphisms of surfaces and higher-dimensional varieties, Picard groups On birational automorphisms of rational surfaces
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) local field; pseudoglobal field; absolutely irreducible curve; etale cohomology group; nondegenerate pairing Homological methods (field theory), Algebraic functions and function fields in algebraic geometry Algebraic curves over \(n\)-dimensional general local fields
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) non-singular curves; plane models; automorphism groups; moduli spaces \textsc{C. J. Earle}, On the moduli of closed Riemann surfaces with symmetries, In: Advances in the Theory of Riemann Surfaces, L.V. Ahlfors et~al. (Eds.), 119-130, Princeton Univ. Press, Princeton, 1971. Automorphisms of curves, Plane and space curves, Special algebraic curves and curves of low genus Non-singular plane curves with an element of ``large'' order in its automorphism group
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Fermat-like varieties; automorphisms Kontogeorgis A.: Automorphisms of Fermat-like varieties. Manuscripta math. 107, 187--205 (2002) Automorphisms of surfaces and higher-dimensional varieties, Special surfaces, Projective techniques in algebraic geometry, Automorphisms of curves Automorphisms of Fermat-like varieties
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) curves of genus \(2\); twists of curves Cardona, Gabriel; Quer, Jordi, Curves of genus 2 with group of automorphisms isomorphic to \(D_8\) or \(D_{12}\), Trans. Amer. Math. Soc., 359, 6, 2831-2849, (2007) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Other nonalgebraically closed ground fields in algebraic geometry Curves of genus 2 with group of automorphisms isomorphic to \(D_8\) or \(D_{12}\)
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) undecidability; automorphisms; Diophantine sets; Hilbert's tenth problem Aschenbrenner, M, ''algorithms for computing saturations of ideals in finitely generated commutative rings'', appendix to: B. poonen, ``automorphisms mapping a point into a subvariety'', J. Algebraic Geom., 20, 785-794, (2011) Automorphisms of surfaces and higher-dimensional varieties, Computational aspects of higher-dimensional varieties, Software, source code, etc. for problems pertaining to algebraic geometry, Decidability of theories and sets of sentences, Number-theoretic algorithms; complexity, Model theory (number-theoretic aspects) Automorphisms mapping a point into a subvariety
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Vector bundles on curves and their moduli, Algebraic moduli problems, moduli of vector bundles, Automorphisms of surfaces and higher-dimensional varieties On automorphisms of moduli spaces of parabolic vector bundles
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) modular function field; singular value; class field; generator Koo, J. K.; Shin, D. H., Function fields of certain arithmetic curves and application, Acta Arith., 141, 4, 321-334, (2010) Modular and automorphic functions, Elliptic and modular units, Class field theory, Riemann surfaces; Weierstrass points; gap sequences Function fields of certain arithmetic curves and application
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) isomorphism of smooth algebraic curves Families, moduli of curves (algebraic), Automorphisms of curves On the isomorphisms of smooth algebraic curves. I
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) groups of torsion points on derivative curves; point of order \(m\) Arithmetic ground fields for curves, Elliptic curves, Torsion groups, primary groups and generalized primary groups, Special algebraic curves and curves of low genus On the structure of groups of torsion points on derivative curves
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) moduli spaces of smooth complex curves; graph cohomology theory; Hodge theory; stable cohomology; tautological classes; mapping class group Hain, R.; Looijenga, E., \textit{mapping class groups and moduli spaces of curves}, Algebraic geometry--Santa Cruz 1995, 97-142, (1997), American Mathematical Society, Providence, RI Families, moduli of curves (algebraic), Transcendental methods, Hodge theory (algebro-geometric aspects), Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Fundamental groups and their automorphisms (group-theoretic aspects), Families, moduli of curves (analytic) Mapping class groups and moduli spaces of curves
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) automorphisms; vector fields; Lie algebras; affine \(n\)-space Lie algebras of vector fields and related (super) algebras, Jacobian problem Automorphisms of the Lie algebra of vector fields on affine \(n\)-space
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Weierstrass' gamma function; double area; sector Surfaces in Euclidean and related spaces, Plane and space curves, Area and volume (educational aspects) Some properties of the curves \(x^n+y^n=1\) with even exponents
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Klein's quartic; Jacobian variety; curves of higher genus; JFM 39.0259.03; JFM 11.0296.01 DOI: 10.1006/jabr.1996.6842 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Jacobians, Prym varieties Curves \(X^ mY^ n+Y^ mZ^ n+Z^ mX^ n=0\) and decomposition of the Jacobian
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Fuchsian groups; Weierstrass points; real algebraic geometry; birational automorphism groups of real curves; Siegel modular group; NEC groups; Teichmüller spaces; uniformization theory for Klein surfaces; automorphism groups of real algebraic curves \textsc{E. Bujalance, J. J. Etayo, J. M. Gamboa, and}\textsc{G. Gromadzki}, Automorphism Groups of Compact Bordered Klein Surfaces. A Combinatorial Approach, Lecture Notes in Mathematics, 1439, Springer-Verlag, Berlin, 1990. Riemann surfaces; Weierstrass points; gap sequences, Other geometric groups, including crystallographic groups, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Fuchsian groups and their generalizations (group-theoretic aspects), Klein surfaces, Real-analytic and semi-analytic sets, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to functions of a complex variable, Research exposition (monographs, survey articles) pertaining to group theory Automorphism groups of compact bordered Klein surfaces. A combinatorial approach
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Hodge moduli space; Deligne-Hitchin moduli space; \(\lambda\)-connections; Moishezon twistor space Biswas, I., Heller, S.: On the automorphisms of a rank one Deligne-Hitchin moduli space. SIGMA Symmetry, Integrability and Geometry: Methods and Applications, vol. 13, Paper No. 072 (2017) Algebraic moduli problems, moduli of vector bundles, Automorphisms of surfaces and higher-dimensional varieties, Vector bundles on curves and their moduli On the automorphisms of a rank one Deligne-Hitchin moduli space
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) function fields of \(p\)-adic curves; classical groups; projective homogeneous spaces; local-global principle; unitary groups Galois cohomology of linear algebraic groups, Curves over finite and local fields, Rational points, Local ground fields in algebraic geometry Local-global principle for classical groups over function fields of \(p\)-adic curves
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) real curve; real theta characteristic; automorphism Biswas, I., Gadgil, S.: Real theta characteristics and automorphisms of a real curve. (2007) (Preprint) Topology of real algebraic varieties, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials Real theta characteristics and automorphisms of a real curve
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) affine surface; automorphism group; Thompson group; Markov numbers; birational transformations; boundary divisor Group actions on affine varieties, Combinatorial aspects of algebraic geometry Automorphisms of surfaces of Markov type
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) minimal genus; finite group as group of automorphisms; compact non- orientable Klein surfaces Bujalance, E.: Cyclic groups of automorphisms of compact non-orientable Klein surfaces without boundary. Pac. J. Math. 109, 279--289 (1983) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Curves in algebraic geometry, Group actions on varieties or schemes (quotients), Groups acting on specific manifolds, Fuchsian groups and their generalizations (group-theoretic aspects) Cyclic groups of automorphisms of compact non-orientable Klein surfaces without boundary
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) length of automorphism; multidegree of automorphism Edo, E.; Furter, J.-P., Some families of polynomial automorphisms, J. Pure Appl. Algebra, 194, 263-271, (2004) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) Some families of polynomial automorphisms
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) hyperelliptic fibration; complete surface of general type Automorphisms of surfaces and higher-dimensional varieties, Fibrations, degenerations in algebraic geometry, Surfaces of general type Best bounds of automorphism groups of hyperelliptic fibrations
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Cubic surface; Singular points; normal forms; automorphisms Y. Sakamaki, ''Automorphism groups on normal singular cubic surfaces with no parameters,'' Trans. Amer. Math. Soc., 362, No. 5, 2641--2666 (2010). Automorphisms of surfaces and higher-dimensional varieties, Singularities of surfaces or higher-dimensional varieties Automorphism groups on normal singular cubic surfaces with no parameters
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) smooth rational surface; automorphism group; Picard group; antipluricanonical curve B. Harbourne, Rational surfaces with infinite automorphism group and no antipluricanonical curve, Proc. Amer. Math. Soc. 99 (1987), no. 3, 409--414. Picard groups, Rational and unirational varieties, Automorphisms of surfaces and higher-dimensional varieties, Group actions on varieties or schemes (quotients) Rational surfaces with infinite automorphism group and no antipluricanonical curve
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) quadratic forms; Galois comology; \(u\)-invariant; \(p\)-adic curves Quadratic forms over general fields, Galois cohomology, Varieties over global fields, Algebraic cycles Quadratic forms, Galois cohomology and function fields of \(p\)-adic curves
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Enriques surface; Enriques lattice; Coxeter group \(K3\) surfaces and Enriques surfaces, Reflection and Coxeter groups (group-theoretic aspects) Congruence subgroups and Enriques surface automorphisms
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) hyperelliptic curve cryptography; hyperelliptic curves over finite fields; algebraic function fields over finite fields Curves over finite and local fields, Jacobians, Prym varieties, Special algebraic curves and curves of low genus, Data encryption (aspects in computer science), Cryptography Explicit endomorphism of the Jacobian of a hyperelliptic function field of genus \(2\) using base field operations
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) rational torsion subgroup; rational cuspidal subgroup; rational cuspidal divisor class group Elliptic and modular units, Arithmetic aspects of modular and Shimura varieties, Rational points The rational cuspidal divisor class group of \(X_0(N)\)
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) permutation group; centraliser; automorphism group; map; hypermap; dessin d'enfant Finite automorphism groups of algebraic, geometric, or combinatorial structures, Infinite automorphism groups, Planar graphs; geometric and topological aspects of graph theory, Dessins d'enfants theory, Symmetry properties of polytopes, Covering spaces and low-dimensional topology Automorphism groups of maps, hypermaps and dessins
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) elliptic curves; torsion subgroup; finite field Curves over finite and local fields, Finite ground fields in algebraic geometry, Rational points A simple criterion for the \(m\)-cyclicity of the group of rational points on an elliptic curve defined over a finite field
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Graph automorphism; Surface homeomorphism; Invariant spine; Outer automorphism Los, J.; Nitecki, Z.: Embedding groups of graph automorphisms in surfaces. Topology 43, 49-69 (2004) Dynamical systems involving maps of trees and graphs, Automorphisms of surfaces and higher-dimensional varieties, Graphs and abstract algebra (groups, rings, fields, etc.), Finite transformation groups Embedding groups of graph automorphisms in surfaces.
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) embedding problem; Rectifiable space line; Nagata's automorphism Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Embeddings in algebraic geometry The Nagata type polynomial automorphisms and rectifiable space lines
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) étale fundamental group; curves in characteristic p F. Pop and M. Saïdi, On the specialization homomorphism of fundamental groups of curves in positive characteristic, in Galois groups and fundamental groups, Math. Sci. Res. Inst. Publ., 41 , Cambridge University Press, 2003, pp. 107-118. Coverings of curves, fundamental group, Arithmetic ground fields for curves, Matrices, determinants in number theory On the specialization homorphism of fundamental groups of curves in positive characteristic
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) algebraic function fields of genus one; real-closed field; J-invariant Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Real algebraic and real-analytic geometry, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) An isomorphism theorem for algebraic function fields of genus one over real-closed fields
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) symplectic actions on a K3 surface; Mathieu group Mukai, S.: Finite groups of automorphisms of\textit{K}3 surfaces and the Mathieu group. \textit{Invent. Math.}94 (1988), no. 1, 183--221. Group actions on varieties or schemes (quotients), \(K3\) surfaces and Enriques surfaces, Automorphisms of surfaces and higher-dimensional varieties, Simple groups: sporadic groups Finite groups of automorphisms of K3 surfaces and the Mathieu group
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) algebraic transformation groups; algebraic action of complex algebraic groups; linearizable action Kraft, H.: Algebraic automorphisms of affine space. In: Proceedings of the Hyderabad Conference on Algebraic Groups (Hyderabad, 1989), Manoj Prakashan, Madras, 1991, pp. 251--274 Group actions on varieties or schemes (quotients), Homogeneous spaces and generalizations, Linear algebraic groups and related topics Algebraic automorphisms of affine space
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) algebraic quotient; Cremona group; Zariski cancellation problem KRAFT (H.) . - Algebraic automorphisms of affine space , Topological methods in algebraic transformation groups, (eds. H. Kraft, T. Petrie, G. W. Schwarz), Progress in Mathematics, vol. 80, Birkhäuser Verlag, Basel-Boston, 1989 , p. 81-105. MR 91g:14044 | Zbl 0719.14030 Birational automorphisms, Cremona group and generalizations, Group actions on varieties or schemes (quotients) Algebraic automorphisms of affine space
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) cubic surface; Severi-Brauer surface; automorphism group Automorphisms of surfaces and higher-dimensional varieties, Birational automorphisms, Cremona group and generalizations, Rational and ruled surfaces Automorphisms of cubic surfaces without points
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) algebraic groups; anisotropic groups; projective spaces; simple connected groups; Zariski topology; maximal torus; root system; group schemes B. Weisfeiler, ''On abstract homomorphisms of anisotropic algebraic groups over real-closed fields,'' J. Algebra,60, No. 2, 485--519 (1979). Linear algebraic groups over arbitrary fields, Other algebraic groups (geometric aspects), Group schemes On abstract homomorphisms of anisotropic algebraic groups over real-closed fields
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) linear independence hypothesis; elliptic curve \(L\)-functions; symmetric powers \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Irrationality; linear independence over a field, Other Dirichlet series and zeta functions, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Independence of the zeros of elliptic curve \(L\)-functions over function fields
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Kodaira dimension 1; Ramanujan surface; Gurjar-Miyanishi surface; homology plane surfaces; action of an automorphism of finite order Petrie, T, Algebraic automorphisms of smooth affine surfaces, Invent. Math., 95, 355-378, (1989) Special surfaces, Group actions on varieties or schemes (quotients), Automorphisms of surfaces and higher-dimensional varieties Algebraic automorphisms of smooth affine surfaces
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) mapping class group; signature cocycle; eta invariant; Casson invariant T. Morifuji, On Meyer's function of hyperelliptic mapping class groups, J. Math. Soc. Japan 55 (2003), no. 1, 117-129. General low-dimensional topology, Special algebraic curves and curves of low genus, Covering spaces and low-dimensional topology, Characteristic classes and numbers in differential topology On Meyer's function of hyperelliptic mapping class groups
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) non-zero characteristic; Jacobian; product of additive groups Jacobians, Prym varieties, Finite ground fields in algebraic geometry, Singularities of curves, local rings Unipotent groups associated to reduced curves
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) families of rational surfaces; birational maps; automorphisms; positive entropy Déserti, J; Grivaux, J, Automorphisms of rational surfaces with positive entropy, Indiana Univ. Math. J., 60, 1589-1622, (2011) Birational automorphisms, Cremona group and generalizations, Topological entropy, Complex spaces with a group of automorphisms, Rational and ruled surfaces, Automorphisms of surfaces and higher-dimensional varieties, Dynamical systems over complex numbers Automorphisms of rational surfaces with positive entropy
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) conformal automorphism groups; compact bordered Riemann Compact Riemann surfaces and uniformization, Curves in algebraic geometry, Complex Lie groups, group actions on complex spaces On the automorphism groups of a compact bordered Riemann surface of genus five
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) fixed point set of polynomial automorphism Furushima, M, Finite groups of polynomial automorphisms in the complex affine plane, I, Mem. Fac. Sci. Kyushu Univ. Ser. A, 36, 85-105, (1982) Complex Lie groups, group actions on complex spaces, Groups acting on specific manifolds, Transcendental methods, Hodge theory (algebro-geometric aspects) Finite groups of polynomial automorphisms in the complex affine plane. I
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Fernández-Carmena, F.: On the injectivity of the map of the Witt group of a scheme into the Witt group of its function field. Math. ann. 277, No. 3, 453-468 (1987) Applications of methods of algebraic \(K\)-theory in algebraic geometry, Surfaces and higher-dimensional varieties, General binary quadratic forms, Schemes and morphisms On the injectivity of the map of the Witt group of a scheme into the Witt group of its function field
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) etale covers of curves; profinite groups; positive characteristic; Galois theory Manish Kumar, ``The fundamental group of affine curves in positive characteristic'', J. Algebra399 (2014), p. 323-342 Coverings of curves, fundamental group, Homotopy theory and fundamental groups in algebraic geometry The fundamental group of affine curves in positive characteristic
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) birational geometry; Cremona groups; Jordan property; finite characteristic Automorphisms of surfaces and higher-dimensional varieties, Positive characteristic ground fields in algebraic geometry, Subgroup theorems; subgroup growth, Birational automorphisms, Cremona group and generalizations Automorphisms of quasi-projective surfaces over fields of finite characteristic
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) cubic surfaces; automorphisms; positive characteristic Automorphisms of surfaces and higher-dimensional varieties, Rational and ruled surfaces, Arithmetic ground fields for surfaces or higher-dimensional varieties Automorphisms of cubic surfaces in positive characteristic
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) automorphisms of surfaces; birational automorphisms Automorphisms of surfaces and higher-dimensional varieties, Birational automorphisms, Cremona group and generalizations Automorphism groups of compact complex surfaces
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) dynamical systems; finite fields; arithmetic dynamics; endomorphisms of elliptic curves Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps, Arithmetic dynamics on general algebraic varieties, Curves over finite and local fields, Elliptic curves, Elliptic curves over global fields Functional graphs of rational maps induced by endomorphisms of ordinary elliptic curves over finite fields
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) automorphism groups of compact complex manifolds; algebraic dimension \(0\); complex tori; conic bundles; Jordan properties of groups Rational and birational maps, Birational automorphisms, Cremona group and generalizations, Automorphisms of surfaces and higher-dimensional varieties, Holomorphic bundles and generalizations, Complex Lie groups, group actions on complex spaces, Compact Kähler manifolds: generalizations, classification, Kähler manifolds Bimeromorphic automorphism groups of certain \(\mathbb{P}^1\)-bundles
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) elliptic curves; elliptic surfaces; function fields; rank; Mordell-Weil groups; Selmer groups; Galois representations Ellenberg, J.: Selmer groups and Mordell--Weil groups of elliptic curves over towers of function fields. Compos. Math. 142, 1215--1230 (2006) Varieties over global fields, Elliptic curves over global fields, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Iwasawa theory Selmer groups and Mordell-Weil groups of elliptic curves over towers of function fields
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Elliptic curves over global fields, Complex multiplication and moduli of abelian varieties, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Quadratic extensions, Complex multiplication and abelian varieties Generalized \(\mathbb Q\)-curves and factors of \(J_1(N)\)
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) fundamental group of complement of curve; Zariski problem Némethi, A. : On the fundamental group of the complement of certain singular plane curves , Math. Proc. Cambridge Philos. Soc. 102 (1987), 453-457. Coverings in algebraic geometry, Singularities of curves, local rings, Complete intersections On the fundamental group of the complement of certain singular plane curves
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Johannes Huisman and Frédéric Mangolte, Automorphisms of real rational surfaces and weighted blow-up singularities, Manuscripta Math. 132 (2010), no. 1-2, 1 -- 17. Topology of real algebraic varieties, Rational and ruled surfaces, Birational automorphisms, Cremona group and generalizations Automorphisms of real rational surfaces and weighted blow-up singularities
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) minimal surface of general type; finite group of automorphisms Xiao G. (1990). On abelian automorphism group of a surface of general type. Invent. Math. 102(3): 619--631 Surfaces of general type, Automorphisms of surfaces and higher-dimensional varieties, Birational automorphisms, Cremona group and generalizations On abelian automorphism group of a surface of general type
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) strong approximation; semisimple algebraic groups; function field of complex curve Linear algebraic groups over adèles and other rings and schemes, Elliptic curves over global fields, Other nonalgebraically closed ground fields in algebraic geometry, Linear algebraic groups over global fields and their integers, Group actions on varieties or schemes (quotients) Strong approximation for semi-simple homogenenous groups over the field of functions of a complex algebraic curve
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) nonorientable Riemann surfaces; Riemann surfaces; natural Riemannian metric Conformal metrics (hyperbolic, Poincaré, distance functions), Automorphisms of curves The automorphisms of the Möbius strip
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) torus curve; maximal contact Coverings of curves, fundamental group, Singularities of curves, local rings, Special algebraic curves and curves of low genus On the fundamental group of the complement of linear torus curves of maximal contact
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) moduli spaces of curves; F-curves; Losev-Manin spaces; toric degeneration Moon, H.-B., Swinarski, D.: Effective curves on \(\overline{M}_{0, n}\) from group actions. Manuscripta Math. \textbf{147} (1-2), 239-268 (2015) Families, moduli of curves (algebraic) Effective curves on \(\overline{\mathrm{M}}_{0,n}\) from group actions
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) automorphism group; topological entropy Zhang D.-Q.: Automorphism groups of positive entropy on minimal projective varieties. Adv. Math. 225, 2332--2340 (2010) Automorphisms of surfaces and higher-dimensional varieties, Topological entropy, Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables, Calabi-Yau manifolds (algebro-geometric aspects), \(3\)-folds, Minimal model program (Mori theory, extremal rays) Automorphism groups of positive entropy on minimal projective varieties
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) positive characteristic; pointed stable curve; admissible fundamental group; semi-graph of anabelioids; anabelian geometry Coverings of curves, fundamental group, Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) On the admissible fundamental groups of curves over algebraically closed fields of characteristic \(p>0\)
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Picard 1-motives; class groups; models of relative curves; Galois coverings; equivariant \(L\)-functions; Galois module structure; Fitting ideals Zeta and \(L\)-functions in characteristic \(p\), Curves over finite and local fields, Varieties over finite and local fields, Geometric class field theory, \(p\)-adic cohomology, crystalline cohomology, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture Families of curves with Galois action and their \(L\)-functions
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) H. Zhu, Hyperelliptic curves over \(\mathbf F_2\) of every \(2\)-rank without extra automorphisms, Proc. Amer. Math. Soc., 134, 323, (2006) Curves over finite and local fields, Finite ground fields in algebraic geometry Hyperelliptic curves over \(\mathbb{F} _2\) of every \(2\)-rank without extra automorphisms
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) rational surface; automorphism group; real structure; real form Rational and ruled surfaces, Automorphisms of surfaces and higher-dimensional varieties, Real algebraic sets Real structures on rational surfaces and automorphisms acting trivially on Picard groups
| 0 |
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