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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Bröker, R.: Constructing supersingular elliptic curves. J. Comb. Number Theory 1(3), 269--273 (2009) Curves over finite and local fields, Number-theoretic algorithms; complexity, Applications to coding theory and cryptography of arithmetic geometry, Complex multiplication and moduli of abelian varieties, Algebraic coding theory; cryptography (number-theoretic aspects)
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties \(p\)-adic cohomology, crystalline cohomology, Complex multiplication and moduli of abelian varieties, \(p\)-adic theory, local fields
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Complex multiplication and abelian varieties, Arithmetic ground fields for curves, Period matrices, variation of Hodge structure; degenerations
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Analytic theory of abelian varieties; abelian integrals and differentials, Birational geometry, Compact analytic spaces, Complex multiplication and abelian varieties, Special surfaces
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Higher degree equations; Fermat's equation, Elliptic curves over local fields, Complex multiplication and moduli of abelian varieties, Algebraic functions and function fields in algebraic geometry
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties DOI: 10.1142/S0129167X1250108X Modular and Shimura varieties, Group varieties, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), \(K3\) surfaces and Enriques surfaces, Surfaces of general type, Complex multiplication and moduli of abelian varieties, Arithmetic aspects of modular and Shimura varieties
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Serre, Jean-Pierre, Abelian \textit{l}-adic representations and elliptic curves. mcgill university lecture notes written with the collaboration of willem kuyk and John labute, (1968), W.A. Benjamin, Inc. New York-Amsterdam Research exposition (monographs, survey articles) pertaining to number theory, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Abelian varieties of dimension \(> 1\), Complex multiplication and moduli of abelian varieties, Elliptic curves over global fields
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Hoyt, W.: On twisted Legendre equations and Kummer surfaces, Proc. sympos. Pure math 49 (1989) \(K3\) surfaces and Enriques surfaces, Transcendental methods, Hodge theory (algebro-geometric aspects), Elliptic surfaces, elliptic or Calabi-Yau fibrations, Complex multiplication and abelian varieties
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Shiga, H.: On the transcendency of the values of the modular function at algebraic points. Soc. math. France astérisque 209, 293-305 (1992) Transcendence theory of other special functions, Complex multiplication and moduli of abelian varieties, Abelian varieties of dimension \(> 1\), Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms, Algebraic theory of abelian varieties
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties P. Deligne, Équations différentielles à points singuliers réguliers, Lecture Notes in Math., \textbf{163}, Springer-Verlag, 1970. Complex multiplication and moduli of abelian varieties, Jacobians, Prym varieties, Coverings of curves, fundamental group, Algebraic moduli of abelian varieties, classification
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Arithmetic aspects of modular and Shimura varieties, Rational points, Abelian varieties of dimension \(> 1\), Complex multiplication and moduli of abelian varieties
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Voight, John, Computing CM points on Shimura curves arising from cocompact arithmetic triangle groups. Algorithmic number theory, Lecture Notes in Comput. Sci. 4076, 406-420, (2006), Springer, Berlin Arithmetic aspects of modular and Shimura varieties, Complex multiplication and moduli of abelian varieties, Modular and Shimura varieties
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Wajngurt, C.: Rational solutions of Diophantine equations isomorphic to elliptic curves with applications to complex multiplication. J. number theory 23, 80-85 (1986) Special algebraic curves and curves of low genus, Complex multiplication and abelian varieties, Cubic and quartic Diophantine equations, Rational points, Algebraic functions and function fields in algebraic geometry, Elliptic curves
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties R.-P. Holzapfel, ``Jacobi theta embedding of a hyperbolic 4-space with cusps,'' in Geometry, Integrability and Quantization, pp. 11-63, Coral Press Science, Sofia, Bulgaria, 2002. Theta functions and abelian varieties, Theta functions and curves; Schottky problem, Other groups and their modular and automorphic forms (several variables), Abelian varieties of dimension \(> 1\), Automorphic forms in several complex variables, Picard schemes, higher Jacobians, Complex multiplication and abelian varieties, Modular and Shimura varieties
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties N. Schappacher, Periods of Hecke characters, Lecture Notes in Math. 1301, Springer, Berlin 1988. Generalizations (algebraic spaces, stacks), Global ground fields in algebraic geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Complex multiplication and abelian varieties
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Wolfart, J., Regular dessins, endomorphisms of Jacobians and transcendence, (Wüstholz, G., A Panorama of Number Theory or the View from Baker's Garden, (2002), Cambridge University Press: Cambridge University Press Cambridge), 107-120 Complex multiplication and abelian varieties, Jacobians, Prym varieties
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Nicolas Ratazzi, Théorème de Dobrowolski-Laurent pour les extensions abéliennes sur une courbe elliptique à multiplication complexe, Int. Math. Res. Not. 58 (2004), 3121 -- 3152 (French). Elliptic curves over global fields, Complex multiplication and moduli of abelian varieties, Global ground fields in algebraic geometry, Elliptic curves
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Complex multiplication and moduli of abelian varieties, Arithmetic aspects of modular and Shimura varieties, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Arithmetic varieties and schemes; Arakelov theory; heights
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Complex multiplication and moduli of abelian varieties, Arithmetic aspects of modular and Shimura varieties, Local ground fields in algebraic geometry, Modular and Shimura varieties
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Elliptic curves over global fields, Complex multiplication and moduli of abelian varieties, Arithmetic aspects of modular and Shimura varieties, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Modular and Shimura varieties
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Complex multiplication and moduli of abelian varieties, Modular and Shimura varieties, Elliptic curves over global fields
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties M. Bertin, Mahler's measure: From number theory to geometry , Number theory and polynomials, LMS Lecture Notes, vol. 352, Cambridge University Press, Cambridge, 2008, pp. 20-31. Polylogarithms and relations with \(K\)-theory, Elliptic curves over global fields, Complex multiplication and moduli of abelian varieties, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, \(K3\) surfaces and Enriques surfaces
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties 30. P. Morton, Explicit congruences for class equations, Funct. Approx. Comment. Math.51 (2014) 77-110. genRefLink(16, 'S179304211650055XBIB030', '10.7169%252Ffacm%252F2014.51.1.4'); Complex multiplication and moduli of abelian varieties, Elliptic curves, Quadratic extensions
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Y. Ihara: Profinite braid groups, Galois representations and complex multiplications. Ann. of Math., 123, 43-106 (1986). JSTOR: Galois theory, Jacobians, Prym varieties, Complex multiplication and abelian varieties, Special algebraic curves and curves of low genus, Coverings of curves, fundamental group, Global ground fields in algebraic geometry, Integral representations related to algebraic numbers; Galois module structure of rings of integers, Galois cohomology
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Applications to coding theory and cryptography of arithmetic geometry, Curves over finite and local fields, Cryptography, Complex multiplication and moduli of abelian varieties, Algebraic coding theory; cryptography (number-theoretic aspects), Automorphisms of curves
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties B. Gordon, Canonical models of Picard modular surfaces, The zeta functions of Picard modular surfaces, Centre de Recherches Mathématiques, Université de Montréal, Montréal (1992), 1-29. Modular and Shimura varieties, Global ground fields in algebraic geometry, Special surfaces, Complex multiplication and abelian varieties, Arithmetic ground fields for abelian varieties, Families, moduli, classification: algebraic theory
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties G. Pappas, M. Rapoport, and B. D. Smithling, ''Local models of Shimura varieties, I. Geometry and combinatorics,'' in Handbook of Moduli: Volume III, Farkas, G. and Morrison, I., Eds., Somerville, MA: Internat. Press, 2013, vol. 26, pp. 135-217. Proceedings, conferences, collections, etc. pertaining to algebraic geometry, General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to algebraic geometry, Algebraic moduli problems, moduli of vector bundles, Families, moduli of curves (algebraic), Algebraic moduli of abelian varieties, classification, Minimal model program (Mori theory, extremal rays), Formal methods and deformations in algebraic geometry, Complex multiplication and abelian varieties, Collections of articles of miscellaneous specific interest
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties BERTRAND (D.) et LAURENT (M.) . - Propriétés de transcendance de nombres liés aux fonctions thêta , C. r. Acad. Sci. Paris, Ser. A, t. 292, 1981 , p. 747-749. MR 82k:10037 | Zbl 0472.10033 Transcendence (general theory), Elliptic curves, Complex multiplication and abelian varieties
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Schappacher, N.: Some milestones of Lemniscatomy. Lecture Notes in Pure and Applied Mathematics Series 193. M. Dekker, New York, 257--290 (1997) Complex multiplication and moduli of abelian varieties, Elliptic functions and integrals, History of mathematics in the 19th century, History of number theory, History of algebraic geometry
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Complex multiplication and moduli of abelian varieties, Families, moduli of curves (algebraic), Arithmetic ground fields for abelian varieties
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Arithmetic ground fields for abelian varieties, Local ground fields in algebraic geometry, Structure of families (Picard-Lefschetz, monodromy, etc.), Arithmetic ground fields for curves, Complex multiplication and abelian varieties
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Ruppert, W.: Two-dimensional complex tori with multiplication by d. Arch. math. 72, 278-281 (1999) Complex multiplication and abelian varieties, Analytic theory of abelian varieties; abelian integrals and differentials
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties P.B. Cohen (now P Tretkoff), Dessins d'enfant and Shimura varieties, in: L. Schneps (Ed.), The Grothendieck Theory of Dessins d'Enfants, in: London Math. Soc. Lecture Notes Series, vol. 200, Cambridge University Press, 1994, pp. 237-243. Special algebraic curves and curves of low genus, Compact Riemann surfaces and uniformization, Coverings of curves, fundamental group, Modular and Shimura varieties, Complex multiplication and abelian varieties
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Habegger, P., \textit{singular moduli that are algebraic units}, Algebra Number Theory, 9, 1515-1524, (2015) Arithmetic aspects of modular and Shimura varieties, Heights, Linear forms in logarithms; Baker's method, Modular and Shimura varieties, Arithmetic varieties and schemes; Arakelov theory; heights, Complex multiplication and moduli of abelian varieties
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Rohde, Jan Christian, Cyclic coverings, {C}alabi--{Y}au manifolds and complex multiplication, Lecture Notes in Math., 1975, x+228, (2009), Springer-Verlag, Berlin Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to number theory, Calabi-Yau manifolds (algebro-geometric aspects), Complex multiplication and moduli of abelian varieties, Variation of Hodge structures (algebro-geometric aspects), Modular and Shimura varieties, Coverings of curves, fundamental group, Period matrices, variation of Hodge structure; degenerations, Calabi-Yau theory (complex-analytic aspects)
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Arithmetic aspects of modular and Shimura varieties, Complex multiplication and moduli of abelian varieties, Fibrations, degenerations in algebraic geometry
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Baily W L Jr, On the theory of Hilbert modular functions I, Arithmetic groups and Eisenstein series,J. Algebra 90 (1984) 567--605 Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Complex multiplication and moduli of abelian varieties, Global ground fields in algebraic geometry
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties A. Langer and W. Raskind, 0-cycles on the selfproduct of a CM-elliptic curve over \(\Q\), J. Reine Angew. Math. 516 (1999), 1--26. Varieties over global fields, Elliptic curves over global fields, Complex multiplication and moduli of abelian varieties, (Equivariant) Chow groups and rings; motives
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Abelian varieties of dimension \(> 1\), Complex multiplication and moduli of abelian varieties, Structure of families (Picard-Lefschetz, monodromy, etc.), Algebraic moduli of abelian varieties, classification
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties A. V. Sutherland, Computing Hilbert class polynomials with the Chinese remainder theorem, Math. Comp. 80 (2011), no. 273, 501-538. Number-theoretic algorithms; complexity, Complex multiplication and moduli of abelian varieties, Curves over finite and local fields, Elliptic curves
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Global ground fields in algebraic geometry, Arithmetic ground fields for abelian varieties, Complex multiplication and abelian varieties, Modular and automorphic functions, Algebraic moduli of abelian varieties, classification
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Dimca, A.: Differential forms and hypersurface singularities. In: Singularity theory and its applications, Part I (Coventry, 1988/1989), vol. 1462 of Lecture Notes in Math., pp. 122-153. Springer, Berlin (1991) Complex multiplication and abelian varieties, Coverings of curves, fundamental group, Abelian varieties of dimension \(> 1\)
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Mestre, J. F.: Courbes hyperelliptiques à multiplications réelles. C. R. Acad. sci. Paris, ser. I math. 307, 721-724 (1988) Elliptic curves, Algebraic functions and function fields in algebraic geometry, Complex multiplication and abelian varieties, Galois theory
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Algebraic number theory computations, Complex multiplication and moduli of abelian varieties, Class numbers, class groups, discriminants, Class field theory, Cryptography, Applications to coding theory and cryptography of arithmetic geometry
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Modular and Shimura varieties, Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms, Complex multiplication and moduli of abelian varieties, Algebraic moduli of abelian varieties, classification, Theta functions and abelian varieties
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Complex multiplication and moduli of abelian varieties, Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, Abelian varieties of dimension \(> 1\), Elliptic and modular units, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Global ground fields in algebraic geometry
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Class field theory, Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms, Complex multiplication and moduli of abelian varieties, Theta functions and abelian varieties
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Abelian varieties of dimension \(> 1\), Isogeny, Theta functions and curves; Schottky problem, Theta functions and abelian varieties, Complex multiplication and moduli of abelian varieties, Computational aspects of higher-dimensional varieties
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Calabi-Yau manifolds (algebro-geometric aspects), Relations with algebraic geometry and topology, Complex multiplication and moduli of abelian varieties, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), \(K3\) surfaces and Enriques surfaces
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Curves over finite and local fields, Complex multiplication and moduli of abelian varieties, Finite ground fields in algebraic geometry, Elliptic curves, Cryptography
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties R. Gillard , Relations monomiales entre périodes p-adiques , Invent. Math. 93 ( 1988 ), 355-381. MR 89m:11058 | Zbl 0658.14023 Complex multiplication and abelian varieties, Global ground fields in algebraic geometry, Period matrices, variation of Hodge structure; degenerations, Analytic theory of abelian varieties; abelian integrals and differentials, Totally real fields
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties F. Breuer, La conjecture d'André-Oort pour le produit de deux courbes modulaires de Drinfeld , C.R. Math. Acad. Sci. Paris 335 (2002), 867--870. Arithmetic aspects of modular and Shimura varieties, Modular and Shimura varieties, Drinfel'd modules; higher-dimensional motives, etc., Complex multiplication and moduli of abelian varieties
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Formal groups, \(p\)-divisible groups, Complex multiplication and moduli of abelian varieties, Arithmetic aspects of modular and Shimura varieties, Varieties over finite and local fields, Modular and Shimura varieties
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Elliptic and modular units, Zeta functions and \(L\)-functions of number fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Complex multiplication and abelian varieties, Elliptic curves
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Curves over finite and local fields, Complex multiplication and moduli of abelian varieties, Finite ground fields in algebraic geometry, Elliptic curves, Cryptography
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Transcendence (general theory), Group varieties, Complex multiplication and abelian varieties
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Tsimerman, J. Brauer-Siegel for arithmetic tori and lower bounds for Galois orbits of special points \textit{J.~Amer. Math. Soc.}25 (2012) 1091--1117 Math Reviews MR2947946 Complex multiplication and moduli of abelian varieties, Arithmetic aspects of modular and Shimura varieties, Arithmetic ground fields for abelian varieties
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties C.-L. Chai, B. Conrad, F. Oort, \(Complex Multiplication and Lifting Problems\). Mathematical Surveys and Monographs, vol. 195 (American Mathematical Society, Providence, RI, 2014) Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to number theory, Isogeny, Arithmetic ground fields for abelian varieties, Complex multiplication and moduli of abelian varieties, Formal methods and deformations in algebraic geometry, Formal groups, \(p\)-divisible groups
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Rational points, Special algebraic curves and curves of low genus, Complex multiplication and abelian varieties
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Complex multiplication and moduli of abelian varieties, Arithmetic ground fields for abelian varieties, Class groups and Picard groups of orders
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties P. Deligne : Travaux de Shimura . Sém. Bourbaki 23 (1970/71) No. 389. Modular and Shimura varieties, Complex multiplication and abelian varieties, Biographies, obituaries, personalia, bibliographies
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Elkin A. and Zarhin Yu.G. (2006). Endomorphism algebras of hyperelliptic jacobians and finite projective lines. J. Ramanujan Math. Soc. 21: 169--187 Automorphisms of curves, Jacobians, Prym varieties, Complex multiplication and abelian varieties
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Du, T; Yang, T, Quaternions and kudla's matching principle, Math. Res. Lett., 20, 367-383, (2013) Arithmetic aspects of modular and Shimura varieties, Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Complex multiplication and abelian varieties
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Jacobians, Prym varieties, Complex multiplication and moduli of abelian varieties
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Cohen, P.B.; Wolfart, J., Fonctions hypergéométriques en plusieurs variables et espaces des modules de variétés abéliennes, Ann. sci. éc. norm. supér. (4), 26, 665-690, (1993) Modular and Shimura varieties, Appell, Horn and Lauricella functions, Complex multiplication and abelian varieties, Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions), Arithmetic aspects of modular and Shimura varieties
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Transcendental methods, Hodge theory (algebro-geometric aspects), Algebraic aspects of posets, Complex multiplication and abelian varieties
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Lehman, J.L.: Rational points on elliptic curves with complex multiplication by the ring of integers in \[ \mathbb{Q}(\sqrt{-7}) \] . J. Number Theory 27, 253--272 (1987) Rational points, Special algebraic curves and curves of low genus, Complex multiplication and abelian varieties, Global ground fields in algebraic geometry, Elliptic curves, Automorphic forms, one variable
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Mcconnell, G.: On the Iwasawa theory of CM elliptic curves at supersingular primes, Compos. math. 101, 1-19 (1996) Iwasawa theory, Elliptic curves over global fields, Elliptic curves, Complex multiplication and moduli of abelian varieties
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Jacobians, Prym varieties, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Complex multiplication and moduli of abelian varieties, Applications to coding theory and cryptography of arithmetic geometry
0
Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Hazama, F., On the Mordell-Weil group of certain abelian varieties defined over function fields, J. Number Theory, 37, 168-172, (1991) Rational points, Arithmetic ground fields for abelian varieties, Elliptic curves, Jacobians, Prym varieties, Complex multiplication and abelian varieties
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Ozeki, Y., Non-existence of certain CM abelian varieties with prime power torsion, Tohoku Math. J. (2), 65, 357-371, (2013) Abelian varieties of dimension \(> 1\), Complex multiplication and abelian varieties
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Algebraic theory of abelian varieties, Picard groups, Complex multiplication and abelian varieties
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties K. Bannai, S. Kobayashi, and T. Tsuji, ``Realizations of the elliptic polylogarithm for CM elliptic curves'' in Algebraic Number Theory and Related Topics (2007) , RIMS Kôkyûroku Bessatsu B12 , Res. Inst. Math. Sci. (RIMS), Kyoto, 2009, 33-50. Polylogarithms and relations with \(K\)-theory, Elliptic curves over local fields, Complex multiplication and moduli of abelian varieties, \(p\)-adic cohomology, crystalline cohomology, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Arithmetic ground fields for curves, Complex multiplication and moduli of abelian varieties, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Special algebraic curves and curves of low genus, Theta functions and abelian varieties, Computational aspects of algebraic curves
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Ratazzi N., Intersection de courbes et de sous-groupes, et problèmes de minoration de hauteur dans les variétés abéliennes C.M. À paraître aux Annales de l'Institut Fourier. Heights, Abelian varieties of dimension \(> 1\), Results involving abelian varieties, Complex multiplication and abelian varieties, Other abelian and metabelian extensions
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Elliptic curves over global fields, Complex multiplication and moduli of abelian varieties, Elliptic curves, Cryptography
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties M. Kuga, W. Parry, and C.-H. Sah: Invariants and Hodge cycles. IV (to appear). Gamma, beta and polygamma functions, Arithmetic ground fields for abelian varieties, Complex multiplication and moduli of abelian varieties, Geometric invariant theory
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties History of number theory, History of mathematics in the 20th century, History of mathematics in the 21st century, Curves in algebraic geometry, Abelian varieties and schemes, Diophantine equations, Research exposition (monographs, survey articles) pertaining to number theory, Elliptic curves over global fields, Abelian varieties of dimension \(> 1\), Complex multiplication and moduli of abelian varieties
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Wolfart, J., Der überlagerungsradius gewisser algebraischer kurven und die werte der betafunktion an rationalen stellen, Math. Ann., 273, 1-15, (1985) Coverings of curves, fundamental group, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Transcendence (general theory), Complex multiplication and abelian varieties, Rational points, Jacobians, Prym varieties
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Eisenträger, K; Lauter, K, A CRT algorithm for constructing genus 2 curves over finite fields, Arith. Geom. Coding Theory, 21, 161-176, (2005) Curves over finite and local fields, Complex multiplication and moduli of abelian varieties, Class field theory, Applications to coding theory and cryptography of arithmetic geometry
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties J. L. Boxall, A new construction of \(p\)-adic \(L\)-functions attached to certain elliptic curves with complex multiplication , Ann. Inst. Fourier (Grenoble) 36 (1986), 31--68. Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Complex multiplication and abelian varieties, Special algebraic curves and curves of low genus, Zeta functions and \(L\)-functions, Local ground fields in algebraic geometry, Singularities of curves, local rings, Elliptic curves
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Geometric class field theory, \(K3\) surfaces and Enriques surfaces, Modular and Shimura varieties, Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms, Complex multiplication and moduli of abelian varieties, Cubic and quartic extensions
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties B. Dodson, On the Mumford-Tate group of an abelian variety with complex multiplication, J. Algebra 111 (1987), no. 1, 49 -- 73. Complex multiplication and abelian varieties
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Analytic theory of abelian varieties; abelian integrals and differentials, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), Complex multiplication and abelian varieties, Toric varieties, Newton polyhedra, Okounkov bodies, Grassmannians, Schubert varieties, flag manifolds, Classical groups (algebro-geometric aspects)
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties 7. R. Bröker and P. Stevenhagen, Efficient CM-constructions of elliptic curves over finite fields, Math. Comp.76 (2007) 2161-2179. genRefLink(16, 'S1793042117500099BIB007', '10.1090%252FS0025-5718-07-01980-1'); genRefLink(128, 'S1793042117500099BIB007', '000249415700026'); Finite ground fields in algebraic geometry, Complex multiplication and moduli of abelian varieties, Curves over finite and local fields, Cryptography, Elliptic curves
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Leprévost, F.; Morain, F., Revêtements de courbes elliptiques à multiplication complexe par des courbes hyperelliptiques et sommes de caractères, J. Number Theory, 64, 165-182, (1997) Complex multiplication and moduli of abelian varieties, Elliptic curves over global fields, Elliptic curves, Other character sums and Gauss sums
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties External book reviews, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to algebraic geometry, Algebraic moduli problems, moduli of vector bundles, Families, moduli of curves (algebraic), Algebraic moduli of abelian varieties, classification, Minimal model program (Mori theory, extremal rays), Formal methods and deformations in algebraic geometry, Complex multiplication and abelian varieties, Collections of articles of miscellaneous specific interest
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Oort, F.: Moduli of abelian varieties in positive characteristic. Barsotti Symposium in Algebraic Geometry (Abano Terme, 1991), Perspect. Math., vol. 15, pp. 253--276. Academic Press, San Diego (1994) Algebraic moduli of abelian varieties, classification, Finite ground fields in algebraic geometry, Complex multiplication and abelian varieties
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Kraft, J.S. : Iwasawa invariants of CM fields , Journal of Number Theory 32 (1989), 65-77. Cyclotomic extensions, Iwasawa theory, Complex multiplication and abelian varieties, Cubic and quartic extensions
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties DOI: 10.1007/BF01388772 Cyclotomic extensions, Ramification and extension theory, Complex multiplication and abelian varieties, Units and factorization, Elliptic curves
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Applications to coding theory and cryptography of arithmetic geometry, Cryptography, Elliptic curves, Complex multiplication and moduli of abelian varieties, Class numbers, class groups, discriminants, Algebraic coding theory; cryptography (number-theoretic aspects)
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Pollack, P., A titchmarsh divisor problem for elliptic curves, Math. Proc. Cambridge Philos. Soc., 160, 1, 167-189, (2016) Complex multiplication and moduli of abelian varieties, Global ground fields in algebraic geometry, Elliptic curves
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Brauer groups of schemes, \(K3\) surfaces and Enriques surfaces, Complex multiplication and moduli of abelian varieties, Arithmetic ground fields for abelian varieties
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties N. Templier, Minoration du rang des courbes elliptiques sur les corps de classes de Hilbert, en préparation Elliptic curves over global fields, Arithmetic varieties and schemes; Arakelov theory; heights, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Complex multiplication and moduli of abelian varieties
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties R.-P. Holzapfel, Transcendental Ball Points of Algebraic Picard Integrals, \textit{Math. Nachr.}, \textbf{161} (1993), 7-25. Analytic theory of abelian varieties; abelian integrals and differentials, Complex multiplication and abelian varieties
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties \(K3\) surfaces and Enriques surfaces, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Finite ground fields in algebraic geometry, Complex multiplication and abelian varieties
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Complex multiplication and abelian varieties, Elliptic functions and integrals
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Approximation in non-Archimedean valuations, Transcendence theory of elliptic and abelian functions, Complex multiplication and abelian varieties
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Tankeev, S. G., Abelian varieties and the general Hodge conjecture, Izv. Ross. Akad. Nauk Ser. Mat., 57, 192-206, (1993) Transcendental methods, Hodge theory (algebro-geometric aspects), Complex multiplication and abelian varieties, Transcendental methods of algebraic geometry (complex-analytic aspects)
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Rubin K.: Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton--Dyer. Invent. Math. 64, 455--470 (1981) \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Complex multiplication and moduli of abelian varieties, Elliptic curves over global fields, Special algebraic curves and curves of low genus
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