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Lopes M.M., Pardini R.: Triple canonical surfaces of minimal degree. Int. J. Math. 11(4), 553--578 (2000) analytic curves; tangent cones
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Lopes M.M., Pardini R.: Triple canonical surfaces of minimal degree. Int. J. Math. 11(4), 553--578 (2000) generalization of class field theory; local fields; Milnor K-group; integral projective scheme; Chow group; generalization of ramification theory; higher dimensional schemes; generalized Swan conductor; global fields
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Lopes M.M., Pardini R.: Triple canonical surfaces of minimal degree. Int. J. Math. 11(4), 553--578 (2000) rings of differential operators; semisimple Lie algebras; gluing of categories DOI: 10.1017/S1474748002000154
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Lopes M.M., Pardini R.: Triple canonical surfaces of minimal degree. Int. J. Math. 11(4), 553--578 (2000) elliptic curve; finite field; isogeny; distortion map; volcano
| 0 |
Lopes M.M., Pardini R.: Triple canonical surfaces of minimal degree. Int. J. Math. 11(4), 553--578 (2000) algebraic structures; equations; algebraic sets; radical ideal; coordinate algebra; Zariski topology; equationally Noetherian algebras; \(q_\omega\)-compactness; \(u_\omega\)-compactness; metacompact algebras; metacompact spaces; equationally Artinian algebras; prevarieties; varieties; free algebras; equational domains; Hilbert's basis theorem P. Modabberi and M. Shahryari, Compactness conditions in universal algebraic geometry, Algebra Logic 55 (2016), no. 2, 146-172.
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Lopes M.M., Pardini R.: Triple canonical surfaces of minimal degree. Int. J. Math. 11(4), 553--578 (2000) complex prehomogeneous vector space; affine variety; regularity; reductivity; regular prehomogeneous vector space A. Gyoja: A counterexample in the theory of prehomogeneous vector spaces. Proc. Japan Acad., 66A, 26-27 (1990).
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Lopes M.M., Pardini R.: Triple canonical surfaces of minimal degree. Int. J. Math. 11(4), 553--578 (2000) liftable derivation; moduli algebras; isolated hypersurface singularity Chen Hao. A remark on liftable derivation of moduli algebras of isolated hypersurface singularities. to appear in Proc. AMS
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Lopes M.M., Pardini R.: Triple canonical surfaces of minimal degree. Int. J. Math. 11(4), 553--578 (2000) modular Galois representations; automorphic forms; modular curve; Hecke operators; Frobenius; geometric Frobenius; arithmetic Frobenius; Eisenstein series; Eisenstein ideals; Hecke algebra; crystalline extensions; multiplicity one theorem 10. Faltings, Gerd and Jordan, Bruce W. Crystalline cohomology and GL(2,<b>Q</b>)\textit{Israel J. Math.}90 (1995) 1--66 Math Reviews MR1336315
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Lopes M.M., Pardini R.: Triple canonical surfaces of minimal degree. Int. J. Math. 11(4), 553--578 (2000) phase transition; tunneling; scalar field theory
| 0 |
Lopes M.M., Pardini R.: Triple canonical surfaces of minimal degree. Int. J. Math. 11(4), 553--578 (2000) diffeomorphism; complex surface diffeomorphic to a rational surface; Seiberg-Witten invariants; Kodaira dimension CH. Okonek andA. Teleman, Les invariants de Seiberg-Witten et la conjecture de Van de Ven.C. R. Acad. Sei. Paris 321 (1995), 457--461.
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Lopes M.M., Pardini R.: Triple canonical surfaces of minimal degree. Int. J. Math. 11(4), 553--578 (2000) Zvonkine, D., An introduction to moduli spaces of curves and their intersection theory, Handbook of Teichmüller theory, 17, 667-716, (2012)
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Lopes M.M., Pardini R.: Triple canonical surfaces of minimal degree. Int. J. Math. 11(4), 553--578 (2000) elliptic curve; number field; thety function; hyperbolic curve; anabelian geometry; ABC conjecture; Szpiro conjecture 12. S. Mochizuki, Inter-universal Teichmüller theory I-IV (2015); http://www.kurims. kyoto-u.ac.jp/motizuki/papers-english.html.
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Lopes M.M., Pardini R.: Triple canonical surfaces of minimal degree. Int. J. Math. 11(4), 553--578 (2000) plane algebraic curve; intersection point; \(n\)-poised set; \(n\)-independent set
| 0 |
Lopes M.M., Pardini R.: Triple canonical surfaces of minimal degree. Int. J. Math. 11(4), 553--578 (2000) surfaces of general type; Calabi-Yau threefolds; covering; varieties of minimal degree; canonical ring Gallego F.J., Purnaprajna B.P. (2003). On the canonical rings of covers of surfaces of minimal degree. Trans. Amer. Math. Soc. 355:2715--2732
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Lopes M.M., Pardini R.: Triple canonical surfaces of minimal degree. Int. J. Math. 11(4), 553--578 (2000) surfaces of general type; non birational canonical map; involution; automorphism of order 2; moduli space of surfaces with \(p_g=4\) Bauer, I. C.; Pignatelli, R., Surfaces with \textit{K}2 = 8, \textit{p}_{\textit{g}} = 4 and canonical involution, \textit{Osaka J. Math.}, 46, 3, 799-820, (2009)
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Lopes M.M., Pardini R.: Triple canonical surfaces of minimal degree. Int. J. Math. 11(4), 553--578 (2000) even surfaces; surfaces of general type; moduli; Gorenstein rings Catanese, F.; Liu, W.; Pignatelli, R., The moduli space of even surfaces of general type with \textit{K}2 = 8, \textit{p}_{\textit{g}} = 4 and \textit{q} = 0, \textit{J. Math. Pures Appl.}, 101, 6, 925-948, (2014)
| 1 |
Lopes M.M., Pardini R.: Triple canonical surfaces of minimal degree. Int. J. Math. 11(4), 553--578 (2000) canonical map; quadruple Galois cover; irregular surfaces; surfaces of minimal degree Gallego, F.J., Purnaprajna, B.P.: Classification of quadruple Galois canonical covers I. Trans. Am. Math. Soc. 360(10), 5489--5507 (2008)
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Lopes M.M., Pardini R.: Triple canonical surfaces of minimal degree. Int. J. Math. 11(4), 553--578 (2000) surfaces of general type; canonical map; involution; double cover Werner, C., Surfaces of general type with \textit{K}2 = 2\textit{ {\(\chi\)}}-1, \textit{Kyoto J. Math.}, 55, 1, 29-41, (2015)
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Lopes M.M., Pardini R.: Triple canonical surfaces of minimal degree. Int. J. Math. 11(4), 553--578 (2000) [HS]B. Hunt and R. Schimmrigk, K3-fibered Calabi--Yau threefolds, I, the twist map, Int. J. Math. 10 (1999), 833--867.
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Lopes M.M., Pardini R.: Triple canonical surfaces of minimal degree. Int. J. Math. 11(4), 553--578 (2000) algebraic surface of general type; canonical map; involution; double covers; rational surfaces; small invariants Martí Sánchez, Surfaces with K2 = 2{\(\chi\)} - 2 and pg 5, Geom. Dedicata 150 pp 49-- (2011)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Apéry numbers; elliptic K3-surfaces; elliptic pencils; Picard-Fuchs equation; crystalline cohomology; formal Brauer group; zeta-function; finite characteristic Stienstra J, Beukers F. On the Picard-Fuchs equation and the formal Brauer group of certain elliptic K3-surfaces. Math Ann, 1985, 271: 269--304
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) smooth surfaces; Brauer groups; characteristic \(p\) T. Urabe, The bilinear form of the Brauer group of a surface, Invent. Math. 125 (1996), no. 3, 557--585.
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Apéry numbers; elliptic K3-surfaces; finite characteristic; elliptic pencils; Picard-Fuchs equation; crystalline cohomology; formal Brauer group; zeta-function Stienstra, Jan; Beukers, Frits, On the Picard-Fuchs equation and the formal Brauer group of certain elliptic \(K3\)-surfaces, Math. Ann., 271, 2, 269-304, (1985)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) characteristic \(p\); formal Brauer group; Abelian surfaces; stratification; height; positive characteristic; Ekedahl-Oort stratification; moduli stack; toroidal compactification; first Chern class van der Geer, G., Katsura, T.: Formal Brauer groups and moduli of abelian surfaces. In: Moduli of abelian varieties (Texel Island, 1999), Progr. in Math., vol. 195, Birkhäuser, Basel, pp. 185-202 (2001)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) finite groups; finite simple groups; applications of simple groups; Brauer groups; Riemann surfaces; polynomials; function fields Guralnick, Robert, Applications of the classification of finite simple groups.Proceedings of the International Congress of Mathematicians---Seoul 2014. Vol. II, 163-177, (2014), Kyung Moon Sa, Seoul
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Cox rings; algebraic varieties; homogeneous spaces; graded algebras and rings; line bundles; toric varieties; geometric invariant theory; actions of groups; algebraic surfaces; Mori Dream Spaces; Zariski decompositions; Manin's conjecture; Hasse principle; Brauer-Manin obstructions; del Pezzo surfaces; \(K3\) surfaces; Enriques surfaces; GKZ decompositions; GALE transformations; flag varieties; combinatorial methods in algebraic geometry Arzhantsev, Ivan; Derenthal, Ulrich; Hausen, Jürgen; Laface, Antonio, Cox rings, Cambridge Studies in Advanced Mathematics 144, viii+530 pp., (2015), Cambridge University Press, Cambridge
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) formal Brauer groups; Artin invariants; mirror symmetry
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) complete discrete valuation ring; lifting of the Frobenius; characteristic \(p\); smooth group scheme; \(p\) formal groups; arithmetic jet theory Buium, A.: Differential subgroups of simple algebraic groups over p-adic fields. Amer. J. Math. 120, 1277-1287 (1998)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Enriques surfaces; automorphism groups; positive characteristic Dolgachev, Igor V., Numerical trivial automorphisms of Enriques surfaces in arbitrary characteristic.Arithmetic and geometry of K3 surfaces and Calabi-Yau threefolds, Fields Inst. Commun. 67, 267-283, (2013), Springer, New York
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) crystalline cohomology; formal Brauer group; Torelli theorem for polarized ordinary K3 surfaces Nygaard, N. O.: The Torelli theorem for ordinary K3 surfaces over finite fields. Arithmetic and geometry, 267-276 (1983)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) covariant formal group theory; DPS-Hopf algebras; isogeny classes of the formal Brauer groups; Fermat hypersurfaces
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) \(K3\) surfaces; derived categories; motives; Hodge conjecture; Brauer groups; twisted \(K3\) surfaces
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) fundamental groups of curves; positive characteristic; quotients of the fundamental group; Abhyankar's conjecture; formal/rigid-analytic patching -, Fundamental groups of curves in characteristic \(p\), in Proceedings of the International Congress of Mathematicians, 1, 2 (Zürich, 1994), Birkhäuser, 1995, pp. 656-666.
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Brauer groups; diagonal cubic surfaces; norm residue symbols Uematsu, T.: Symbolic generators of the Brauer group of diagonal cubic surfaces and their applications to zero-cycles. RIMS Kokyuroku Bessatsu, Algebraic Number Theory and Related Topics (2012, to appear)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) order \(p\) automorphisms of open \(p\)-adic discs; fixed points; Hurwitz data; Lubin-Tate formal groups; semi-stable models; characteristic \(p\); Witt vectors B. Green and M. Matignon, ''Order \(p\) automorphisms of the open disc of a \(p\)-adic field,'' J. Amer. Math. Soc., vol. 12, iss. 1, pp. 269-303, 1999.
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) specialization of local commutative formal groups; fields of prime characteristic M. Poletti : Iperalgebre su schiere valutanti (in corso di stampa su questi Anuali). Numdam | Zbl 0198.25802
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Rennes; algebraic geometry days; formal groups; Galois representations; cohomology of varieties; positive characteristic
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Enriques surfaces; automorphism groups; \(K3\) surfaces; characteristic 2
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) p-adic analog of the Weierstrass sigma function; complex elliptic curves; formal group; canonical heights; characteristic p; p-adic theta functions Fontaine, J.-M.: Le corps des périodes \(p\)-adiques. With an appendix by Pierre Colmez. Périodes \(p\)-adiques (Bures-sur-Yvette, 1988). Astérisque No. 223, pp. 59-111 (1994)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) orders of the Brauer groups; diagonal surfaces; finite fields; K3 surfaces
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Rennes; algebraic geometry days; formal groups; Galois representations; cohomology of varieties; positive characteristic
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) degree 4 del Pezzo surfaces; vertical Brauer groups; Brauer-Manin obstruction Várilly-Alvarado, A.; Viray, B., Arithmetic of del Pezzo surfaces of degree 4 and vertical Brauer groups, Advances in Mathematics, 255, 153-181, (2014)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) zero-cycles; diagonal cubic surfaces; Brauer groups; \(p\)-adic fields
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) local class field theory; maximal unramified extension; formal groups; local cyclotomic field; norm residue symbol; Artin-Hasse formula; Brauer group; cohomology theory K. Iwasawa, \textit{Local Class Field Theory} [Russian translation], Mir, Moscow (1983).
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Rennes; algebraic geometry days; formal groups; Galois representations; cohomology of varieties; positive characteristic
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) arithmetic surfaces; Brauer groups Saito S. , Arithmetic theory of arithmetic surfaces , Ann. of Math. 129 ( 1989 ) 547 - 589 . MR 997313 | Zbl 0688.14019
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) finite-dimensional representations of affine group scheme; fundamental group scheme; non-commutative formal groups; characteristic p Nori, M. V., \textit{the fundamental group-scheme}, Proc. Indian Acad. Sci. Math. Sci., 91, 73-122, (1982)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) function theory of surfaces; principal congruence groups; Hecke subgroups; characteristic classes; punctures; Riemann surface; theta constant identities; conformal mappings
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Artin invariant; Mordell-Weil groups of quasi-elliptic surfaces; rational unirational quasi-elliptic surfaces; characteristic 3; Néron-Severi groups; K3 surfaces Hiroyuki Ito, The Mordell-Weil groups of unirational quasi-elliptic surfaces in characteristic 3, Math. Z. 211 (1992), no. 1, 1 -- 39.
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Kummer surfaces; Jacobians of genus 2 curves; Brauer groups; bound on Brauer groups V. Cantoral-Farfán, Y. Tang, S. Tanimoto, E. Visse, Effective Bounds for Brauer Groups of Kummer Surfaces over Number Fields (2016) Preprint. arXiv:1606.06074
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) del Pezzo surfaces of degree four; Brauer groups; rational points; conic bundle surfaces; Hasse principle
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) moduli spaces of Riemann surfaces; mapping class groups; surface bundles; characteristic classes; topological monoid; classifying spaces; Madsen-Weiss theorem
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) torsion points of formal groups; characteristic p; ring of Witt vectors; Honda's special element; Galois extension Nakamura, Tetsuo: On torsion points of formal groups over a ring of Witt vectors. Math zeitschrift 193, 397-404 (1986)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Mordell-Weil groups; unirational quasi-elliptic surfaces; characteristic 2 Ito, H.: The Mordell--Weil groups of unirational quasi-elliptic surfaces in characteristic 2. Tôhoku math. J. 46, 221-251 (1994)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) formal groups; cobordism; projective complex space; Milnor manifold; Chern characteristic classes; natural multiplicative transformation; Chern-Novikov character; logarithm; exponent; K-theory; generating function; Hirzebruch's genus; Toda's genus; virtual arithmetical genus; Euler formal group; elliptic function V. M. Bukhshtaber and A. N. Kholodov, ''Formal Groups, Functional Equations, and Generalized Cohomology Theories,'' Mat. Sb. 181(1), 75--94 (1990) [Math. USSR, Sb. 69, 77--97 (1991)].
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) plane algebraic curves; field of characteristic zero; automorphism groups; Fermat curve; Riemann surfaces
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) formal group; characteristic \(p\); groups of commutative extensions T. SEKIGUCHI and N. SUWA, A note on extensions of algebraic and formal groups II, Math. Z. 217 (1994), 447-457.
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) families of Riemann surfaces; families of differential operators; irregularity; characteristic variety; Cauchy-Kowalewski problem; cohomology groups; Euler characteristic Mebkhout, Z.: Sur le théorème de semi-continuité des équations différentielles, Astérisque 130, 365-417 (1985)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) quadric surfaces; root stacks; étale local forms; Brauer groups
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) formal Azumaya algebras over a scheme; Brauer groups; Picard group
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) characteristic p; two-dimensional formal groups
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) singular cubics; isogenies; torsion points; elliptic curves over finite fields; elliptic curves over local fields; Selmer groups; duality; rational torsion; heights; complex multiplication; integral points; Galois representations; survey; group law; endomorphism ring; Weil pairing; elliptic functions; formal group; Shafarevich-Tate groups; \(L\)-series; Tate curves; descent; conjecture of Birch and Swinnerton-Dyer Silverman, J. H.: A survey of the arithmetic theory of elliptic curves. Modular forms and Fermat's last theorem (1997)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) n-valued formal groups; formal group in cobordism; 2n-periodic K-theory; Adams projectors; three-valued formal group of cobordism; characteristic classes of tensor products of complex n-plane bundles; representation of the Weyl group of a compact connected Lie group Bukhshtaber, V. M.; Kholodov, A. N.: Topological construction connected with many-valued formal groups. Math. USSR-izv. 20, 1-25 (1983)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) division algebras; cyclic algebras; ramifications; étale cohomology; function fields of surfaces; affine schemes; Brauer groups; central algebras; fields of fractions; cyclic Galois extensions Colliot-Thélène, J.-L.: Conjectures de type local-global sur image des groupes de Chow dans la cohomologie étale. In: Algebraic K-theory (Seattle, WA, 1997), Proceedings of Symposia in Pure Mathematics, vol. 67, pp. 1-12. Amer. Math. Soc., Providence (1999)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) heights; counting rational points; semi-simple groups; Brauer groups
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) formal groups; torsion points; reciprocity law; ramification groups; Hasse-Arf theorem; explicit formulas; Galois cohomology; Brauer group; local class field theory K. Iwasawa, \textit{Local Class Field Theory} (Oxford Univ. Press, New York, 1986).
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) congruence relations; Picard-Fuchs equation; formal Brauer group; elliptic K3 surfaces
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) K3 surfaces; minimal resolutions; Tate conjecture; Picard numbers; orders of Brauer groups; minimal resolutions of weighted diagonal surfaces Goto Y. Arithmetic of certain weighted disgonal surfaces over finite fields. J Number Theory, 59: 37--81 (1996)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) \(K3\) surfaces; Brauer groups; projective duality; special cubic fourfolds; weak approximation K. McKinnie, J. Sawon, S. Tanimoto, A. Várilly-Alvarado, Brauer groups on K3 surfaces and arithmetic applications, Brauer groups and obstruction problems: moduli spaces and arithmetic, Progr. Math. (Birkhäuser, 2016) To appear. arXiv:1404.5460
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) complex multiplication; \(K3\) surfaces; Brauer groups
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Brauer groups; Chow groups; Châtelet surfaces; local fields
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Brauer groups; \(K3\) surfaces; quartic surfaces Ieronymou, E.; Skorobogatov, A. N.; Zarhin, Yu. G., \textit{on the Brauer group of diagonal quartic surfaces}, J. Lond. Math. Soc. (2), 83, 659-672, (2011)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) \(p\)-adic heights; Selmer groups; abelian varieties; Shafarevich group; Tamagawa number; characteristic series; \(p\)-adic representations; Iwasawa modules; torsion modules Perrin-Riou, B. : Théorie d'lwasawa et hauteurs p-adiques: cas des variétés abéliennes , Séminaire de théorie des nombres de Paris 90/91.
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) non-singular plane curves; automorphism groups; twist; Brauer-Severi surfaces
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) \(K3\) surface; good reduction; formal Brauer group; Picard group; positive characteristic
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) characteristic \(p\); Artin invariant; absolute Frobenius automorphism; formal Brauer group; crystalline periods A. Ogus, \(Singularities of the height strata in the moduli of K3 surfaces\), Moduli of abelian varieties (Texel Island, 1999), pp. 325-343. Progress in Mathematics, vol. 195 (Birkhäuser, Basel, 2001)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) characteristic classes; \(K3\) surfaces; arithmetic groups; cohomology
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) smooth structures on elliptic surfaces with finite fundamental group; topological classification of four-manifolds with special fundamental groups; geometric genus; blow-ups; intersection form; signature; Euler characteristic; Kirby-Siebenmann invariant; fundamental class; manifolds with finite cyclic fundamental groups; algebraic surface with nontrivial finite cyclic fundamental group; distinct smooth structures Hambleton I., Kreck M.: Cancellation, Elliptic Surfaces and the Topology of Certain Four-Manifolds. J. Reine Angew. Math. 444, 79--100 (1993)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) higher adeles; geometric adelic structure on surfaces; higher topologies; non locally compact groups; linear topological selfduality; adelic Euler characteristic; intersection pairing; Riemann-Roch theorem. Fesenko, I.B.: Analysis on arithmetic schemes. I. Kazuya Kato's fiftieth birthday. Doc. Math. (2003), Extra Vol. 261-284 (electronic)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Enriques surfaces; characteristic 2; finite automorphism groups; \(K3\) surfaces
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) formal groups; cobordism; projective complex space; Milnor manifold; Chern characteristic classes; natural multiplicative transformation; Chern-Novikov character; logarithm; exponent; K-theory; generating function; Hirzebruch's genus; Toda's genus; virtual arithmetical genus; Euler formal group; elliptic function V. M. Bukhshtaber and A. N. Kholodov, ?Formal groups, functional equations, and generalized cohomology theories,?Mat. Sb.,69, 77 (1991).
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) extensions of formal groups; extensions of algebraic groups; Witt vectors; Frobenius endomorphism [SS] Sekiguchi, T., Suwa, N.: A note on extensions of algebraic and formal groups I. Math. Z.206, 567--575 (1991)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) automorphism groups of \(K3\) surfaces; \(K3\) surfaces; lattice theory; singular \(K3\) surfaces
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) finiteness of fundamental groups of open rational surfaces; fiber of morphism Gurjar, R.V., Zhang, D.-Q.: On the fundamental groups of some open rational surfaces. Math. Ann. 306, 15--30 (1996)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) free loop space; fixed point formula; quotients of formal groups; Riemann-Roch; equivariant Thom isomorphism; prospectra Matthew Ando and Jack Morava, A renormalized Riemann-Roch formula and the Thom isomorphism for the free loop space, Topology, geometry, and algebra: interactions and new directions (Stanford, CA, 1999) Contemp. Math., vol. 279, Amer. Math. Soc., Providence, RI, 2001, pp. 11 -- 36.
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) quiver representations; moduli spaces; Brauer groups; tautological bundles; quadrics
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Brauer groups; maximal orders; Azumaya algebras; regular Noetherian integral schemes; smooth complex affine varieties Antieau, B.; Williams, B.: On the non-existence of Azumaya maximal orders. Invent. math. 197, No. 1, 47-56 (2014)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) abelian Galois extensions; relative Brauer groups; cyclic extensions; indecomposable division algebras of prime exponent; central simple algebras; Brauer class; rational function fields
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) loops; algebraic groups; non-associative algebras; cogroups; coloops; formal diffeomorphisms
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Brauer groups of fields of invariants; Galois cohomology; Artin-Mumford group of the field of rational functions Bogomolov F.A., Brauer groups of fields of invariants of algebraic groups, Math. USSR-Sb., 1990, 66(1), 285--299
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) fundamental group; ovals; K3 surfaces; monodromy groups of smooth real plane curves of degree 6 I. Itenberg, Groups of monodromy of non-singular curves of degree 6, Real Analytic and Algebraic Geometry, Proceedings, Trento (Italy) 1992, Walter de Gruyter, (1995), 161--168.
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) \(K3\) surfaces; complex reflection groups
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) characteristic \(p\); category of Dieudonné modules; Diendonné display; \(p\)-divisible groups Zink, Th., A Dieudonné theory for \(p\)-divisible groups, Tokyo, 1998, Tokyo
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) surfaces of general type; automorphism groups; cohomology Cai, J.-X., Automorphisms of an irregular surface of general type acting trivially in cohomology, J. Algebra, 367, 95-104, (2012)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Calabi-Yau varieties; toric varieties; \(K3\) surfaces; derived equivalences; Picard groups; mirror symmetry
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) \(K3\) surfaces; Chow groups; Hilbert schemes of points; Lie algebras
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) classification of Brauer groups; rational function fields over global fields; Ulm invariants B. Fein, M.M. Schacher and J. Sonn, Brauer groups of rational function fields, Bull. Amer. Math. Soc. 1, 766-768.
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) dessins d'enfants; Riemann surfaces; Galois groups
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) topological properties; real algebraic varieties; equivariant cohomologies; Albanese morphism; Brauer groups; cycle map
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) representations of Lie groups; Harish-Chandra module; PDE; homogeneous space; spectral sequence; correspondence space; characteristic variety
| 0 |
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