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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements reflection groups; unitary reflections; line systems; invariant theory; Shephard-Todd classification; groups of transformations G.I. Lehrer and D.E. Taylor, \textit{Unitary reflection groups}, \textit{Austral. Math. Soc. Lect. Ser.}\textbf{20}, Cambridge University Press, Cambridge, U.K., (2009).
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements action of linear algebraic group; three-dimensional invariant submanifold; space of binary forms
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements union of skew lines; postulation; minimal free resolution of the homogeneous ideal Monica Idà, On the homogeneous ideal of the generic union of lines in \?³, J. Reine Angew. Math. 403 (1990), 67 -- 153.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements germ of functions; perverse complex of vanishing cycles; local system on the complement of an irreducible plane curve; local fundamental group L. Narvàez Macarro , Un calcul de cycles évanescents par rapport aux courbes planes irréductibles . Applications aux faisceaux pervers, C.R.A.S. 301 (1985) 197-200.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Cremona, Luigi; Magnus, L. J.; birational transformation; Cremona transformations; quadratic transformations
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements groups; linear algebra; infinite dimensional spaces; systems of linear differential equations; symmetry; finite subgroups of rotation group; free groups; generators; relations; Todd-Coxeter algorithm; bilinear forms; spectral theorems; linear groups Artin E.: Geometric Algebra. Interscience Publishers, New York (1998)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements transformations in classical geometries; dynamical types; centralizer-conjugacy classes; automorphism groups of geometries; fibration theorem; orbit class; group actions Craven D~A, The theory of \(p\)-groups, http://web.mat.bham.ac.uk/D.A.Craven/pgroups.html (2008)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements cyclic cohomology of certain affine schemes; projective resolution Masuda, T., Natsume, T.: Cyclic cohomology of certain affine schemes. Publ. RIMS21, 1261--1279 (1985)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements sheaves on projective spaces; Castelnuovo-Mumford regularity; regularity of tensor products; linear monad; cohomology table; Eisenbud-Schreyer theory Eisenbud, D.; Schreyer, F.-O., \textit{the banks of the cohomology river}, Kyoto J. Math., 53, 131-144, (2013)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements formal group; Novikov-Landweber algebra; symbol algebra; ring of rationally symplectic cobordisms; non-Stongian elements; self-conjugate manifold
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements coherent system; moduli of vector bundles; algebraic curves; Brill-Noether loci Bradlow S.B., García-Prada O., Mercat V., Muñoz V., Newstead P.E., On the geometry of moduli spaces of coherent systems on algebraic curve
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; polynomials Abhyankar, S.S.: Polynomial Expansion. Proceedings of the American Mathematical Society, vol. 126, pp. 1583--1596 (1998)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements root system; algebraic reductive group; Chow ring; homology of Lie group
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements p-rank of ideal class group of quadratic field; non-cyclic class group; geometric interpretation
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Computational number theory; algorithms; computer algebra systems; power series; solution of linear differential equations; monodromy groups; continued fraction expansion; computations with abelian varieties; SCRATCHPAD II; elliptic curve computations; primality testing; factorization; periods of abelian integrals; algebraic relations; transcendence; Galois groups; bibliography Chudnovsky, D.V.; Chudnovsky, G.V., Computer assisted number theory with applications, New York, 1984-1985, Berlin
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Hilbert-Samuel function; resolution of singularities; rational singularity; Cohen-Macaulay ring
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements effective lower bounds; linear forms in logarithms of algebraic numbers; analytic subgroup theorem; algebraic groups; isogenies of abelian varieties; Tate's conjecture; semisimplicity of the Tate module; Arakelov theory
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Inflection point; Linear system; Divisor; Curve; Invertible sheaf Coppens M.: Generalized inflection points of very general line bundles on smooth curves. Ann. Mat. Pura Appl. 187(4), 605--609 (2008)
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements flag variety; resolution of singularities; intersection homology; Weyl group representations Walter Borho and Robert MacPherson, Partial resolutions of nilpotent varieties, Analysis and topology on singular spaces, II, III (Luminy, 1981) Astérisque, vol. 101, Soc. Math. France, Paris, 1983, pp. 23 -- 74.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements fundamental domain; isomorphism classes; integral quadratic forms; reflections; classification of algebraic surfaces of type K3; lattices of compact type; lattices of non-compact type; arithmetic triangle groups Nikulin, V.V.: Surfaces of type K3 with a finite automorphism group and a Picard group of rank three. Trudy Mat. Inst. Steklov 165 (1984); Proc. of the Steklov Institute of Math., Issue 3, 131-155, 1985
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements foliation; resolution of singularities Da Silva, A. Belotto: Local resolution of singularities in foliated spaces. Rev. R. Acad. cienc. Exactas fís. Nat. ser. A math. RACSAM 110, 841-862 (2016)
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements surface singularities; \({bbfC}^ *\)-action; regular system of weights; quotient varieties; polyhedral groups; Heisenberg groups; Fuchsian groups K. Saito, Regular system of weights and their associated singularities, in Complex analytic singularities, Adv. Stud. Pure Math. 8, Academic Press, Boston, MA, and Kinokuniya, Tokyo, 1987, 479-526.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements curve on projective K3 surface; Clifford index; linear system; Clifford- type inequality; vector bundles on a regular surface Green, ML; Lazarsfeld, R, Special divisors on curves on a \(K3\) surface, Invent. Math., 89, 357-370, (1987)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Dirichlet series; meromorphic continuation; integral representation; resolution of singularities; semi-algebraic set Essouabri, D., Singularités des séries de Dirichlet associées à des polynômes de plusieurs variables et applications en théorie analytique des nombres, Ann. inst. Fourier (Grenoble), 47, 429-484, (1996)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements algebraic family of divisors on a curve of genus g; Castelnuovo-Severi inequality; finite characteristic; linear series; equivalence defect; theta-divisor on the Jacobian variety Kani E.: Castelnuovo's equivalence defect. J. Reine Angew. Math. \textbf{352}, 24-70 (1984).
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements tropical curve; linear system; Clifford's inequality; hyperelliptic curve L. Facchini, On tropical Clifford's theorem. \textit{Ric. Mat}. \textbf{59} (2010), 343-349. MR2738662 (2011h:14090) Zbl 1246.14080
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; positive characteristic; Rees algebras; differential operators A. Bravo and O. Villamayor, Singularities in positive characteristic, stratification and simplification of the singular locus. Adv. Math. 224 (2010), 1349-1418.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear system; Jacobian cycle; Chern class
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Laplace operator; supersymmetric theory; Birchnall-Chaundy-Krichever theory; ring of linear differential operators in one variable
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements logarithmic connection; flat structure; ring of invariant \(\theta\)-functions; extended affine root system; Coxeter element A. Iqbal and C. Kozcaz, \textit{Refined Topological Strings and Toric Calabi-Yau Threefolds}, arXiv:1210.3016 [INSPIRE].
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements combinatorial manifold; combinatorial pseudomanifold; intersection form; \(K3\) surface; Kummer variety; resolution of singularities; simplicial Hopf map J. Spreer, \textit{Blowups, slicings and permutation groups in combinatorial topology}, PhD thesis, University of Stuttgart, 2011.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements exterior differential systems; variation of Hodge structure; Noether-Lefschetz locus; period domain; integral manifold; Hodge conjecture; Pfaffian system; Chern classes; characteristic cohomology; Cartan-Kähler theorem Carlson, J., Green, M., Griffiths, P.: Variations of Hodge structure considered as an exterior differential system: old and new results. SIGMA Symmetry Integrability Geom. Methods Appl. \textbf{5}, Paper 087,40 (2009)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements differential system; Goursat flag; \(m\)-flag of length \(k\); rank 1 prolongation K. Shibuya and K. Yamaguchi, Drapeau theorem for differential systems, Differential Geometry and its Applications 27 (2009), 793--808.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements quotient of a linear space; quotient singularity
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements topological classification of real algebraic sets; resolution of singularities; Nash conjecture; resolution towers S. \textsc{Akbulut}\textsc{and} H. \textsc{King}, Topology of Real Algebraic Sets, Mathematical Sciences Research Institute Publications, 25, Springer, New York, 1992.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Hilbert modules; Shilov resolution; homological algebra; locally free module; spectrum; tensor product of modules; quasisimilar modules; local invariants; essentially reducible module Douglas R. Invariants for Hilbert Modules. Proceedings of Symposia in Pure Mathematics, Vol. 51,Part 1, 1990, 179--196
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements moduli of curves; linear series; degenerations
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements sum of powers of linear forms; Waring's problem for algebraic forms Chipalkatti, J.: The Waring loci of ternary quartics. Exp. math. 13, No. 1, 93-101 (2004)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements equisingular family of quasi-ordinary singularities; Whitney stratification; characteristic monomials C. Ban, A Whitney stratification and equisingular family of quasi-ordinary singularities , Proc. Amer. Math. Soc. 117 (1993), 305--311. JSTOR:
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; birational correspondence Abhyankar, S.: Algebraic geometry for scientists and engineers, mathematical surveys and monographs, vol. 35. American Mathematical Society, Providence, RI (1990)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Cartan geometry; parabolic geometry; Bernstein-Gelfand-Gelfand resolution; projective metrizability; sub-Riemannian metrizability; overdetermined linear PDE; Weyl connections
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Goldie condition; Gelfand-Kirillov dimensions; rational actions; linear algebraic groups; induced actions; spectrum of rational ideals; primitive ideals; orbits; semiprime ideals N. Vonessen, Actions of algebraic groups on the spectrum of rational ideals, II, J. Algebra 208 (1998), no. 1, 216--261.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements explicit computations of Chow rings; regular quadratic forms; product formula; quadrics Shapiro, D.B.; Szyjewski, M., Product formulas for quadratic forms, Bol. soc. mat. mexicana, 37, 463-474, (1992)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements components of solutions; embedding; generic points; homotopy continuation; irreducible numerical algebraic geometry; polynomial system DOI: 10.1016/j.jco.2004.09.007
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements generic pairs; central simple algebras; elements of trace zero M. Rosset and S. Rosset, ''Elements of Trace Zero in Central Simple Algebras,'' in Rings, Extensions, and Cohomology, Ed. by A. R. Magid (Evanston, IL, 1993); Lecture Notes Pure Appl. Math. (Marcel Dekker, New York, 1994), vol. 159, pp. 205--211.
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements analytic local ring; resolution of singularities Cutkosky S.D., Duke Math. J 57 pp 175-- (1988)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements special values of real analytic Eisenstein series; imaginary quadratic field; elliptic curve; p-adic divisibility properties of algebraic numbers; supersingular reduction; p-adic L-function Fujiwara Y. (1988). On divisibilities of special values of real analytic Eisenstein series. J. Fac. Sci. Univ. Tokyo Sect. IA Math. 35: 393--410
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear series of algebraic curve; divisors; generic Torelli G.P. Pirola, M. Teixidor i Bigas, Generic Torelli for \(\(W^r_d\)\). Math. Z. 209(1), 53-54 (1992)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Higgs bundle; system of Hodge bundles; semistable bundle
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements modular parametrizations of elliptic curves; Manin constant; isogeny class; minimal Parshin-Faltings height; Stickelberger elements; Antwerp tables Stevens, G.: Stickelberger elements and modular parametrizations of elliptic curves. Invent. Math. 98(1), 75--106 (1989)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements minimal free resolution; cotangent vector bundle; elementary transformations
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements topology of singular spaces; local Morse data; Lefschetz theorems; bounds on the homotopy dimension; intersection homology; topology of complements of unions of linear subspaces; relative Morse theory Goresky M and MacPherson R, \textit{Stratified Morse Theory}, Springer-Verlag, Berlin Heidelberg, 1988.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements transversal system of parameters; noetherian local ring; Hilbert functions; multiplicities; tangential flatness; blowing-up; flat family Orbanz U., Transversal parameters and tangential flatness
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Fano threefold; Fano variety; anticanonical linear system; line bundle; ampleness; very ampleness; spannedness; higher order embeddings Mauro C. Beltrametti, Sandra Di Rocco, and Andrew J. Sommese, On higher order embeddings of Fano threefolds by the anticanonical linear system, J. Math. Sci. Univ. Tokyo 5 (1998), no. 1, 75 -- 97.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of the singularities of a Schubert cycle; Grassmannian; strict transforms of the Schubert cycles Boudhraa, Z.: Resolution of singularities of Schubert cycles. J. pure appl. Algebra 90, No. 2, 105-113 (1993)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Kronecker's Jugendtraum; elliptic functions; elliptic integrals; arithmetic of elliptic curves; Weierstrass \(\wp\)-function; projective plane cubics; Abel's theorem; inversion problem; Jacobi functions; theta functions; Lefschetz theorem; embeddings; theta identities; Euler identities; Jacobi substitutions; quadratic reciprocity; Siegel modular group; modular forms; Eisenstein series; modular equation; arithmetic subgroups; arithmetic applications; solvability of algebraic equations; Galois theory; Klein's icosaeder; quintic equation; imaginary quadratic number fields; class invariants; class polynomial; Mordell-Weil theorem Henry McKean and Victor Moll, \textit{Elliptic Curves}, Cambridge University Press, Cambridge, 1997.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements infinitesimally faithful representations; reductive complex connected algebraic groups; Lie algebras; representation spaces; fields of rational functions; Cayley transforms; coordinate rings; regular orbits; varieties of unipotent elements Kostant, B.; Michor, P.; Christian, Duval, The generalized Cayley map from an algebraic group to its Lie algebra, \textit{Prog. Math.}, 213, 259-296, (2003), Birkhäuser, Boston, MA
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements actions of linear algebraic groups; quotients; geometric invariant theory
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; analytic spaces; sheaves of ideals Włodarczyk, J., Resolution of singularities of analytic spaces, (Proceedings of Gökova geometry-topology conference 2008, Gökova Geometry/Topology Conference (GGT), Gökova, (2009)), 31-63
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements system of plane curves
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements étale local system; Chern-Simons invariant; regulator; volume of representation
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Point coordinates; line coordinates; Plücker system; Casorati's coordinates; dual coordinates
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements integer factorization; Dirichlet characters; smooth numbers; discrete logarithm problem for composite numbers; least character non-residue; quadratic twist of elliptic curve; large sieve
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Clifford index; Clifford index of a curve; linear series
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements polynomial endomorphism; zeros of a polynomial map; real-closed field; quadratic form
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements equianalytic families of curves; equisingular families of curves Lossen , C. ( 1998 ) . The geometry of equisingular and equianalytic families of curves on a surface . Ph.D. thesis, FB Mathematik, Universität Kaiserslautern. http://www.mathematik.uni-kl.de/lossen/download/Lossen002/Lossen002.ps.gz .
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements quadratic forms; intersection; sums of two squares; circle method; asymptotic; Kloosterman refinement
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements function fields; finite fields; hyperelliptic curves; lower bounds for moments; moments of \(L\)-functions; quadratic Dirichlet \(L\)-functions; random matrix theory Andrade, J. C.: Rudnick and soundararajan's theorem for function fields. Finite fields appl. 37, 311-327 (2016)
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements real algebraic sets; topological resolution of singularities; blowing- downs; P. L. manifolds; topological resolution tower Selman Akbulut and Henry King, The topology of real algebraic sets, Knots, braids and singularities (Plans-sur-Bex, 1982) Monogr. Enseign. Math., vol. 31, Enseignement Math., Geneva, 1983, pp. 7 -- 47. Selman Akbulut and Henry King, The topology of real algebraic sets, Enseign. Math. (2) 29 (1983), no. 3-4, 221 -- 261.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements simple linear algebraic group; 2-regular unipotents; variety of Borel subgroups; simple roots; irreducible components; Springer representation; Weyl group
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements multiplicative structure; skew fields over number fields; Hasse; norm principle; algebraic group; group of rational points; quadratic forms; Skolem-Noether theorem; algebra of quaternions; class field theory; direct subgroup; Spin(f); SL(1,D); trace Platonov V P and Rapinchuk A S, Proceedings of Steklov Institute of Math. 1985, Issue 3
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements group action; \(K\)-theory; derived category; quotient variety; resolution of singularity; motivic integration; McKay correspondence; Hilbert schemes of \(G\)-orbits; crepant resolution; discrepancy divisor; Klein quotient singularity Reid, Miles, La correspondance de McKay, Astérisque, 276, 53-72, (2002)
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Principle of assignment; algebraic forms; relation of conjugation; binary forms; theorems; odd degree; power of linear factors; curves of \(n^th\) order; connection lines; researches
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements projective transformations; geometric transformations; derivations; inversion; conic transformation; quadratic transformation; quadric inversion; Schiaparelli; Hirst; Cremona
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements connected reductive linear algebraic groups; maximal tori; Borel subgroups; Weyl groups; numbers of connected components; Euler characteristic; compactly supported cohomology Rietsch, K.: Intersections of Bruhat cells in real flag varieties. Int. Math. Res. Not. 13, 623--640 (1997)
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements monodromy; hypersurface singularity; germ of a holomorphic function; zeta function; Euler characteristic; Milnor fiber; resolution of singularities Deligne, P.: Théorie de Hodge. III, Inst. Hautes Études Sci. Publ. Math., vol. 44, pp. 5-77 (1974)
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements semisimple Lie algebras; conjugacy of embeddings; invariants of sets of elements in Lie algebras I.V. Losev, On invariants of a set of elements of a semisimple Lie algebra, submitted to J. Lie Theory.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements elliptic curve of rank 12; isogeny; canonical height; independent points; class group; Selmer groups; imaginary quadratic fields of 3-rank 6 Jordi Quer, Corps quadratiques de 3-rang 6 et courbes elliptiques de rang 12, C. R. Acad. Sci. Paris Sér. I Math. 305 (1987), no. 6, 215 -- 218 (French, with English summary).
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Selmer groups; quadratic twists of elliptic curves
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements action of linear algebraic group; homogeneous hypersurface Akhiezer, D.: Algebraic groups transitive in the complement of a homogeneous hypersurface. Trans. Moscow math. Soc. 48, 83-103 (1986)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements quadratic fields; special values of \(L\)-functions; modular forms Villegas, Fernando Rodriguez and Zagier, Don, Square roots of central values of {H}ecke {\(L\)}-series, Advances in Number Theory ({K}ingston, {ON}, 1991), Oxford Sci. Publ., 81-99, (1993), Oxford University Press, New York
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements plane curves; rigid curves; equisingular families of curves Kulikov, Vi.k S.; Shustin, E., On rigid plane curves, Eur. J. Math., 2, 208-226, (2016)
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements integrable system; separation of variables; Bäcklund transformation; arithmetic of divisors Tsiganov, A. V., Bäcklund transformations and divisor doubling, J. Geom. Phys., 126, 148-158, (2018)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements \(q\)-Painlevé system of type \(E^{(1)}_7\); \(q\)-Garnier system; Padé method; \(q\)-hypergeometric function
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements maximal Cohen-Macaulay modules; deformations; system of parameters Pfister G., Math. Z 223 pp 309-- (1996)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements eta-quotients; binary quadratic forms; theta series; multiplicative functions; Hecke operators; dissections of \(q\)-series Berkovich, A.; Patane, F., Binary quadratic forms and Fourier coefficients of certain weight 1 eta-quotients, J. Number Theory, 135, 185-220, (2014)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of hypersurface singularities; Maple V; algorithm Gábor Bodnár and Josef Schicho, A computer program for the resolution of singularities, Resolution of singularities (Obergurgl, 1997) Progr. Math., vol. 181, Birkhäuser, Basel, 2000, pp. 231 -- 238.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements simplest cubic field; quadratic twists; elliptic curve; 2-rank; ideal class group; groups of rational points Byeon, Dongho, Quadratic twists of elliptic curves associated to the simplest cubic fields, Proc. Japan Acad. Ser. A Math. Sci., 73, 10, 185-186, (1997)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Brieskorn singularities; resolution diagrams of singularities of type (2,q,r); network induction
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements plane curve singularities; equisingularity; proper transform; exceptional curves; resolution of singular points; blow-up; topological equivalence; analytic equivalence Chunghyuk Kang, Topological classification of irreducible plane curve singularities in terms of Weierstrass polynomials, Proc. Amer. Math. Soc. 123 (1995), no. 5, 1363 -- 1371.
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements spark of a matrix; generic determinantal variety; affine algebraic set; irreducible component; dimension; linear capacity SPARK (2014). http://www.spark-2014.org
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Hilbert's fourteenth problem; algebra of subfinite type; graded linear series; Newton-Okounkov bodies
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements algebraic curve; algebraic points of small degree; Mordell-Weil group; linear systems
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements pencil of plane sextics; del Pezzo quintic surface; Cremona transformations van der Geer, G., Howe, E., Lauter, K., Ritzenthaler, C.: Table of curves with many points. http://www.manypoints.org
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements convex algebraic geometry; sums of squares; Pythagoras number; linear syzygies
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements algebraic variety; fibration; geometric genus; multiplicity of linear series on surface
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Skolem problems; finite extension ring of algebraic integers; existence of a solution of a system of diophantine equations L. \textsc{Moret-Bailly}, Groupes de Picard et problèmes de Skolem. I, II, \textit{Ann. Sci. Éc. Norm. Supér.~(4)}, \textbf{22} (1989), 161-179, 181-194.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements nonhomogeneous quadratic relations; conilpotent coalgebras; Koszul duality; t-structures of derived type; Massey products; quasi-formality; formality; noncommutative homotopy theory; Galois groups; Galois cohomology
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements log structure; Chevalley-Shephard-Todd; toric stack; stacky fan; resolution of singuarities Matthew Satriano, Canonical Artin stacks over log smooth schemes, Math. Z. 274 (2013), no. 3-4, 779 -- 804.
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of determinantal ideals; characteristic of the base field Roberts, J.; Weyman, J.: A short proof of a theorem of M. Hashimoto. J. algebra 134, No. 1, 144-156 (1990)
0