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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 Mustapha Chellali, ''Congruences entre nombres de Bernoulli-Hurwitz dans le cas supersingulier'', J. Number Theory35 (1990) no. 2, p. 157-179 | Bernoulli and Euler numbers and polynomials, Complex multiplication and moduli of abelian varieties, Congruences for modular and \(p\)-adic modular forms, Zeta functions and \(L\)-functions, 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 Flach, Arch. Math. (Basel) 47 pp 418-- (1986) Arithmetic ground fields for abelian varieties, Complex multiplication and abelian varieties, Global ground fields in algebraic geometry, Theta series; Weil representation; theta correspondences
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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 Amod Agashe, Kristin Lauter, and Ramarathnam Venkatesan, Constructing elliptic curves with a known number of points over a prime field, High primes and misdemeanours: lectures in honour of the 60th birthday of Hugh Cowie Williams, Fields Inst. Commun., vol. 41, Amer. Math. Soc., Providence, RI, 2004, pp. 1 -- 17. Curves over finite and local fields, Complex multiplication and moduli of abelian varieties, Elliptic curves over global fields, Elliptic curves, Cryptography, Number-theoretic algorithms; complexity
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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 Number-theoretic algorithms; complexity, Abelian varieties of dimension \(> 1\), Complex multiplication and moduli of abelian varieties, Isogeny
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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 Kaneko, M, Supersingular \(j\)-invariants as singular moduli mod \(p\), Osaka J. Math., 26, 849-855, (1989) Singularities of curves, local rings, Elliptic curves, 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 Silverman, Joseph H. and Tate, John : '' Rational Points on Elliptic Curves '', UTM, Springer-Verlag, New York etc., 1992. Elliptic curves over global fields, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Complex multiplication and moduli of abelian varieties, Cubic and quartic Diophantine equations, Rational points, Finite 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 abelian varieties, Calabi-Yau manifolds (algebro-geometric aspects), Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
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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, On the \(p\)-adic realization of elliptic polylogarithms for CM-elliptic curves , Duke Math. J. 113 (2002), 193-236. Polylogarithms and relations with \(K\)-theory, Elliptic curves over global 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), Iwasawa theory, Elliptic curves over local fields, \(L\)-functions of varieties over global fields; 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 Rainer Weissauer, On the cohomology of Siegel modular threefolds, Arithmetic of complex manifolds (Erlangen, 1988) Lecture Notes in Math., vol. 1399, Springer, Berlin, 1989, pp. 155 -- 171. Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms, Modular and Shimura varieties, Theta series; Weil representation; theta correspondences, Complex multiplication and moduli of abelian varieties, Representation-theoretic methods; automorphic representations over local and global fields
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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: 10.5802/aif.2208 \(p\)-adic differential equations, Polynomials in number theory, Complex multiplication and moduli of abelian varieties, Polynomials (irreducibility, etc.), Arithmetic ground fields for curves, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
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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 Schoof R.~Schoof, \emph The exponents of the groups of points on the reductions of an elliptic curve, Arithmetic Algebraic Geometry, Progr. Math., vol.~89, Birkhäuser, Boston Basel, 1991, pp.~325--336. Curves over finite and local fields, Rational points, Finite ground fields in algebraic geometry, Cryptography, 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 Abdulali, S, Hodge structures of CM-type, J. Ramanujan Math. Soc., 20, 155-162, (2005) Transcendental methods, Hodge theory (algebro-geometric aspects), 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 R. Tijdeman, Decomposition of the integers as a direct sum of two subsets, Number theory (Paris, 1992 -- 1993) London Math. Soc. Lecture Note Ser., vol. 215, Cambridge Univ. Press, Cambridge, 1995, pp. 261 -- 276. Complex multiplication and 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 Complex multiplication and moduli of abelian varieties, Class field theory, 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 V. Gritsenko and K. Hulek, ''Commutator coverings of Siegel threefolds,'' Preprint RIMS Kyoto University RIMS-1128 (1997); alg-geom/9702007. Complex multiplication and moduli of abelian varieties, Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms, Modular and Shimura varieties, \(K3\) surfaces and Enriques surfaces, 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 J. S. Balakrishnan, S. Ionica, K. Lauter, and C. Vincent, Genus 3, package available at https://github.com/christellevincent/genus3. [3] J. S. Balakrishnan, S. Ionica, K. Lauter, and C. Vincent, Constructing genus-3 hyperelliptic Jacobians with CM, LMS J. Comput. Math. 19 (2016), suppl. A, 283--300. Complex multiplication and moduli of abelian varieties, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Theta functions and curves; Schottky problem, 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 Wüstholz, Gisbert, A note on the conjectures of André-Oort and Pink with an appendix by Lars Kühne, Bull. Inst. Math. Acad. Sin. (N.S.), 9, 4, 735-779, (2014) Linear forms in logarithms; Baker's method, Transcendence theory of elliptic and abelian functions, Arithmetic aspects of modular and Shimura varieties, Rational points, 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 Theta functions and abelian varieties, Transcendence (general theory), Complex multiplication and 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 D.R. Dorman, Global orders in definite quaternion algebras as endomorphism rings for reduced cm elliptic curves, Théorie des nombres (Quebec, PQ, 1987) (1989), 108--116. Quaternion and other division algebras: arithmetic, zeta functions, Elliptic curves, Quadratic extensions, Complex multiplication and abelian varieties, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.)
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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/s11856-011-0082-9 Algebraic moduli of abelian varieties, classification, Complex multiplication and moduli of abelian varieties, Modular and Shimura varieties, Period matrices, variation of Hodge structure; degenerations, Families, moduli of curves (algebraic), Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (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 Algebraic theory of abelian 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 DOI: 10.1007/BF02925039 Complex multiplication and abelian varieties, Abelian varieties and schemes, Cubic and quartic extensions, Homogeneous complex manifolds
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 Bannai, K.; Furusho, H.; Kobayashi, S., \textit{p}-adic Eisenstein-Kronecker function and the elliptic polylogarithm for CM elliptic curves, (2008), preprint 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)
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, Homotopy theory and fundamental groups in algebraic geometry, Group schemes, Varieties over finite and local fields, Complex multiplication and abelian varieties, Vector bundles on curves and their moduli
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 S. Grushevsky, Geometry of {{\mathcal{A}}_{g}} and its compactifications, Algebraic geometry--Seattle 2005. Part 1, Proc. Sympos. Pure Math. 80, American Mathematical Society, Providence (2009), 193-234. Algebraic moduli of abelian varieties, classification, Algebraic moduli problems, moduli of vector bundles, Complex multiplication and moduli of abelian varieties, Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms, Rationality questions in algebraic geometry, (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, Modular and Shimura varieties, Algebraic moduli of abelian varieties, classification, Arithmetic ground fields for 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 Complex multiplication and moduli of abelian varieties, Arithmetic aspects of modular and Shimura varieties, Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms, Abelian varieties of dimension \(> 1\), \(3\)-folds
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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 Oukhaba H. (2005). Sign functions of imaginary quadratic fields and applications. Ann. Inst. Fourier 55(3):753--772 Elliptic and modular units, Complex multiplication and abelian varieties, Other number fields
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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 Abelian varieties of dimension \(> 1\), Fibrations, degenerations in algebraic geometry, 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 Rational and ruled surfaces, Jacobians, Prym 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 \(K3\) surfaces and Enriques surfaces, Varieties over finite and local fields, 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
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), Complex multiplication and abelian varieties, Picard schemes, higher Jacobians, \(3\)-folds
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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 Momose, F.: Galois coverings of curves with given representations on differential forms. (1986) Rational points, Arithmetic ground fields for curves, Global ground fields in algebraic geometry, Complex multiplication and abelian varieties, Structure of modular groups and generalizations; arithmetic groups
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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 Abelian varieties of dimension \(> 1\), Arithmetic ground fields for abelian varieties, 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 Schimmrigk R.: Calabi-Yau arithmetic and rational conformal field theories. J. Geom. Phys. 44, 555--569 (2003) Complex multiplication and moduli of abelian varieties, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Varieties over finite and local fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Calabi-Yau manifolds (algebro-geometric aspects), Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
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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 Shimura, G., \textit{abelian varieties with complex multiplication and modular functions}, (1998), Princeton University Press, Princeton, NJ Discontinuous groups and automorphic forms, Research exposition (monographs, survey articles) pertaining to number theory, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Algebraic moduli of abelian varieties, classification, Analytic theory of abelian varieties; abelian integrals and differentials, Complex multiplication and abelian varieties, Theta functions and abelian varieties, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Finite 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 Elliptic and modular units, Iwasawa theory, 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 Abelian varieties of dimension \(> 1\), Complex multiplication and moduli of abelian varieties, Arithmetic ground fields for abelian varieties, Algebraic number theory: 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 Tate, J.: Les conjectures de Stark sur les fonctions~\(L\)~d'Artin en \(s\) = 0, volume~47 of Progress in Mathematics. Birkhäuser Boston, Inc., Boston, MA (1984). Lecture notes edited by Dominique Bernardi and Norbert Schappacher Galois theory, Finite automorphism groups of algebraic, geometric, or combinatorial structures, Complex multiplication and abelian varieties, Permutation groups, Iwasawa theory, Galois cohomology
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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 Zarhin Yu.G. (2007). Superelliptic jacobians. In: Zannier, U. (eds) Diophantine Geometry Proceedings., pp 363--390. Edizioni Della Normali, Pisa Jacobians, Prym varieties, Arithmetic ground fields for abelian varieties, 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 Baba, S.; Granath, H., Primes of superspecial reduction for QM abelian surfaces, Bull. London Math. Soc., 40, 2, 311-318, (2008) Arithmetic aspects of modular and Shimura varieties, Complex multiplication and moduli of abelian varieties, Modular and Shimura varieties, Varieties over finite and local fields
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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 John Coates, Infinite descent on elliptic curves with complex multiplication, Arithmetic and geometry, Vol. I, Progr. Math., vol. 35, Birkhäuser Boston, Boston, MA, 1983, pp. 107 -- 137. Arithmetic ground fields for curves, Complex multiplication and abelian varieties, Cyclotomic extensions, Elliptic curves, Special algebraic curves and curves of low genus, Global ground fields in algebraic 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 Complex multiplication and moduli of abelian varieties, Algebraic theory 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 Anderson G.W.: Cyclotomy and an extension of the Taniyama group. Compositio Math. 57, 153--217 (1986) Complex multiplication and moduli of abelian varieties, Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Other algebraic groups (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 J-P. Serre, Propriétés conjecturales des groupes de Galois motiviques et des représentations \({\mathcall}\)-adiques. In: Motives (Seattle, WA, 1991), 377-400, Proc. Sympos. Pure Math., 55, Part 1, Amer. Math. Soc., Providence, RI, 1994. Transcendental methods, Hodge theory (algebro-geometric aspects), 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 Murty V.K., Hodge and Weil classes on abelian varieties, in: The Arithmetic and Geometry of Algebraic Cycles, Banff, AB, 1998, NATO Sci. Ser. C Math. Phys. Sci., vol. 548, Kluwer Acad. Publ., Dordrecht, 1998, pp. 83-115. Zbl1028.14016 MR1744944 Algebraic theory of abelian varieties, Complex multiplication and abelian varieties, Transcendental methods, Hodge theory (algebro-geometric aspects), Divisors, linear systems, invertible sheaves
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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 Achter, Jeffrey D., Explicit bounds for split reductions of simple abelian varieties, J. Théor. Nombres Bordeaux, 24, 1, 41-55, (2012) Abelian varieties of dimension \(> 1\), 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 Transcendental methods, Hodge theory (algebro-geometric aspects), Complex multiplication and abelian varieties, 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 Masser, D. W.: Linear forms in algebraic points of abelian functions II. Math. proc. Cambridge philos. Soc. 79, 55-70 (1976) Transcendence theory of other special functions, Complex multiplication and abelian varieties, Approximation by numbers from a fixed field, Arithmetic problems in algebraic geometry; Diophantine geometry, Meromorphic functions of several complex variables
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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 Chudnovsky, D.V., Chudnovsky, G.V.: Approximations and complex multiplication according to Ramanujan. In: Ramanujan Revisited, Urbana-Champaign, IL, 1987, pp. 375--472. Academic Press, Boston (1988) Research exposition (monographs, survey articles) pertaining to number theory, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Transcendence (general theory), Complex multiplication and abelian varieties, Software, source code, etc. for problems pertaining to number theory, Evaluation of number-theoretic constants, Factorization, Algebraic independence; Gel'fond's method, Compact Riemann surfaces and uniformization, Analytic continuation of functions of one complex variable, Ordinary differential equations in the complex domain, Padé approximation, Classical hypergeometric functions, \({}_2F_1\), Algorithms in computer science, Primes, Software, source code, etc. for problems pertaining to algebraic 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 [3] Stephen Kudla &aMichael Rapoport, &New cases of \(p\)-adic uniformization'', In prepa Arithmetic aspects of modular and Shimura varieties, Complex multiplication and moduli of abelian varieties, Algebraic moduli of abelian varieties, classification, Local ground fields in algebraic 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 González, J. and Lario, J-C.: Modular elliptic directions with complex multiplication (with an application to Gross's elliptic curves). Comment. Math. Helv. 86 (2011), no. 2, 317-351. Arithmetic aspects of modular and Shimura varieties, Complex multiplication and abelian varieties, Class field theory, Holomorphic modular forms of integral weight
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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
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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 Subvarieties of abelian 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 Modular and Shimura varieties, Arithmetic aspects of modular and Shimura varieties, Complex multiplication and moduli of abelian varieties, \(K3\) surfaces and Enriques surfaces
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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 aspects of modular and Shimura varieties, Complex multiplication and moduli of abelian varieties, Heights, Class field theory, Modular and Shimura 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 Clark, PL; Corn, P; Rice, A; Stankewicz, J, Computation on elliptic curves with complex multiplication, LMS J. Comput. Math., 17, 509-535, (2014) Elliptic curves, Software, source code, etc. for problems pertaining to number theory, Elliptic curves over global fields, 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 Complex multiplication and abelian varieties, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Zeta functions and \(L\)-functions, 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 Beazley Cohen, Paula; Wolfart, Jürgen, Dessins de Grothendieck et variétés de Shimura, C. R. Acad. Sci. Paris Sér. I Math., 315, 10, 1025-1028, (1992) Modular and Shimura varieties, Ramification problems in algebraic geometry, Complex multiplication and abelian varieties, Arithmetic aspects of modular and Shimura 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 J. Kollár, ''Moduli of varieties of general type,'' in Handbook of Moduli: Volume II, Somerville, MA: Internat. Press, 2013, vol. 25, pp. 115-130. 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 M. Bolognesi and A. Massarenti. Moduli of abelian surfaces, symmetric theta structures and theta characteristics, arXiv:1409.5033v1. Algebraic moduli of abelian varieties, classification, Abelian varieties of dimension \(> 1\), Complex multiplication and moduli of abelian varieties, Rationality questions in algebraic 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 Complex multiplication and abelian varieties, Transcendental methods, Hodge theory (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 Guo, L, General Selmer groups and critical values of Hecke \(L\)-functions, Math. Ann., 297, 221-233, (1993) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Elliptic curves, Rational points, Arithmetic ground fields for curves, Global 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 moduli of abelian varieties, Arithmetic aspects of modular and Shimura varieties, Elliptic curves, Special surfaces, Kähler-Einstein manifolds
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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 Yanai H., On the rank of CM-type, Nagoya Math. J.97 (1985) 169-172. Zbl0557.14026 MR781495 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 Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Special algebraic curves and curves of low genus, Complex multiplication and abelian varieties, Zeta functions and \(L\)-functions, 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 \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Moduli, classification: analytic theory; relations with modular forms, Isogeny, Algebraic moduli of abelian varieties, classification, Abelian varieties of dimension \(> 1\), Complex multiplication and moduli of abelian varieties, Modular correspondences, etc.
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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. Hashimoto and Y. Sakai, Poncelet's theorem and versal family of curves of genus two with \(\sqrt{2}\)-multiplication , RIMS Kokyuroku bessatu B12 (2009), 249-261. Curves of arbitrary genus or genus \(\ne 1\) over global fields, Abelian varieties of dimension \(> 1\), Complex multiplication and moduli of abelian varieties, Special algebraic curves and curves of low genus
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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 Enge, Andreas; Thomé, Emmanuel, Computing class polynomials for abelian surfaces, Exp. Math., 23, 2, 129-145, (2014) Algebraic number theory computations, Abelian varieties of dimension \(> 1\), Complex multiplication and abelian varieties, Theta functions and abelian varieties, 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 K. Hulek and M. Schütt, Arithmetic of singular Enriques surfaces, Algebra & Number Theory, 6 (2012), 195--230.Zbl 1248.14043 MR 2950152 \(K3\) surfaces and Enriques surfaces, General binary quadratic forms, Complex multiplication and moduli of abelian varieties, Varieties over global fields, Elliptic surfaces, elliptic or Calabi-Yau fibrations
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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 moduli of abelian varieties, Heights, Global ground fields in algebraic geometry, Arithmetic ground fields for surfaces or higher-dimensional 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 moduli of abelian varieties, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Algebraic cycles
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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 Billot, P. : Quelques aspects de la descente sur une courbe elliptique dans le cas de réduction supersingulière , Compos. Math. 58 (1986), 341-369. Arithmetic ground fields for curves, Elliptic curves, Cyclotomic extensions, Special algebraic curves and curves of low genus, 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 Curves over finite and local fields, Arithmetic ground fields for 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 Robert S. Rumely, A formula for the grössencharacter of a parametrized elliptic curve, J. Number Theory 17 (1983), no. 3, 389 -- 402. Complex multiplication and abelian varieties, Special algebraic curves and curves of low genus, Class field theory, Elliptic curves, Arithmetic problems in algebraic geometry; Diophantine 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 Jacobians, Prym varieties, Complex multiplication and abelian varieties, Abelian varieties of dimension \(> 1\), Arithmetic aspects of modular and Shimura varieties, Algebraic theory 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 DOI: 10.1016/0022-314X(91)90019-8 Congruences for modular and \(p\)-adic modular forms, Elliptic curves over global fields, Complex multiplication and moduli of abelian varieties, Theta functions 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 R. Coleman , Torsion Points on Abelian etale coverings of P1-{0,1, \infty } , Transactions of the AMS 311, No. 1 (1989), 185-208. Jacobians, Prym varieties, Coverings in algebraic geometry, Coverings of curves, fundamental group, Ramification problems in algebraic geometry, Complex multiplication and abelian varieties, Algebraic number theory: local fields, Classification theory of Riemann surfaces
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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 Zarhin, Yu.G.: On equations defining moduli of abelian varieties with endomorphisms in a totally real field. Trans. Moscow math. Soc., No. 2, 1-46 (1982) Algebraic moduli of abelian varieties, classification, Totally real fields, Theta functions and abelian varieties, Arithmetic ground fields for abelian 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 Daw, C.: The André-Oort conjecture via o-minimality. In: G.O. Jones, A.J. Wilkie (eds.) O-minimality and Diophantine Geometry, London Mathematical Society Lecture Note Series 421. Cambridge University Press (2015) Arithmetic aspects of modular and Shimura varieties, Model theory of ordered structures; o-minimality, Complex multiplication and moduli of abelian varieties, Variation of Hodge structures (algebro-geometric aspects), Special varieties, Linear algebraic groups over the reals, the complexes, the quaternions
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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 Habegger, Philipp, Special points on fibered powers of elliptic surfaces, J. Reine Angew. Math.. Journal für die Reine und Angewandte Mathematik. [Crelle's Journal], 685, 143-179, (2013) Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Subvarieties of abelian varieties, Modular and Shimura varieties, Arithmetic varieties and schemes; Arakelov theory; heights, Abelian varieties of dimension \(> 1\), Complex multiplication and moduli of abelian varieties, Heights
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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 Riedel, T; Holzapfel, R-P (ed.); Uludağ, AM (ed.); Yoshida, M (ed.), On the construction of class fields by Picard modular forms, 273-285, (2007), Basel Complex multiplication and moduli of abelian varieties, Modular and Shimura varieties, Structure of families (Picard-Lefschetz, monodromy, etc.), Theta functions and curves; Schottky problem
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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, Rational points, Integral representations related to algebraic numbers; Galois module structure of rings of integers
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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 Cyclotomic extensions, Class field theory, Class field theory; \(p\)-adic formal groups, Units and factorization, Complex multiplication and abelian varieties, Quadratic 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, Rational points, Complex multiplication and moduli of abelian varieties, Elliptic curves, Cubic and quartic Diophantine equations
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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 [W] J.-P. Wintenberger,Torseurs pour les motifs et pour les représentations p-adiques potentiellement de type CM, Mathematische Annalen288 (1990), 1--8. Group actions on varieties or schemes (quotients), Generalizations (algebraic spaces, stacks), Complex multiplication and abelian varieties, de Rham cohomology and algebraic 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 Goro Shimura. \(Introduction to the arithmetic theory of automorphic functions\), volume 11 of \(Publications of the Mathematical Society of Japan\). Princeton University Press, 1994{ }Published by the CNRS - UMR 6620 Discontinuous groups and automorphic forms, Research exposition (monographs, survey articles) pertaining to number theory, Elliptic curves, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Complex multiplication and moduli of abelian varieties, Holomorphic modular forms of integral weight, Modular correspondences, etc., Automorphic forms, one variable, Langlands \(L\)-functions; one variable Dirichlet series and functional equations, Structure of modular groups and generalizations; arithmetic groups, Cohomology of arithmetic groups
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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 Xiao G 1996 Galois covers between K3 surfaces \textit{Ann. Inst. Fourier}46 73--88 Group actions on varieties or schemes (quotients), \(K3\) surfaces and Enriques surfaces, Complex multiplication and moduli of abelian varieties, Galois theory, Homogeneous spaces and generalizations
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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 Variation of Hodge structures (algebro-geometric aspects), Ergodic theory on groups, 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 Brown, M. L.: Singular moduli and supersingular moduli of Drinfeld modules. Invent. math 110, 419-439 (1992) Drinfel'd modules; higher-dimensional motives, etc., Arithmetic theory of polynomial rings over finite fields, Complex multiplication and moduli of abelian varieties, Arithmetic ground fields for curves, Families, moduli of curves (algebraic)
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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 Chi, W. C., \textit{on the \textit{l}-adic representation attached to simple abelian varieties of type IV}, Bull. Austral. Math. Soc., 44, 71-78, (1991) Abelian varieties of dimension \(> 1\), Algebraic theory of abelian varieties, 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 Vasiu, A., \textit{integral models in unramified mixed characteristic (0,2) of Hermitian orthogonal Shimura varieties of PEL type, part II}, Math. Nachr., 287, 1756-1773, (2014) Arithmetic aspects of modular and Shimura varieties, Modular and Shimura varieties, Abelian varieties of dimension \(> 1\), Complex multiplication and moduli of abelian varieties, \(p\)-adic cohomology, crystalline cohomology, Algebraic moduli of abelian varieties, classification, Formal groups, \(p\)-divisible groups, Classical groups, Linear algebraic groups over local fields and their integers
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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 [GIR] Glauberman, G., Rogawski, J.: On theta functions with complex multiplication. J. Reine Angew. Math.395, 68-101 (1989) Theta functions and abelian 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 Curves over finite and local fields, Families, moduli of curves (algebraic), Jacobians, Prym varieties, Finite ground fields in algebraic geometry, Algebraic moduli of abelian varieties, classification, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Zeta and \(L\)-functions in characteristic \(p\), Complex multiplication and abelian varieties, Abelian varieties of dimension \(> 1\), Coverings of curves, fundamental group
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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 Automorphisms of surfaces and higher-dimensional varieties, Complex multiplication and abelian varieties, Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables, Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics, Algebraic numbers; rings of algebraic integers, Algebraic theory 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 M. Bauer, A. Coste, C. Itzykson and P. Ruelle, ''Comments on the links between SU(3) modular invariants, simple factors in the Jacobian of Fermat curves, and rational triangular billiards,'' J. Geom. Phys. 22 (1997), 134--189. Jacobians, Prym varieties, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, 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 Achter, Jeffrey D., Detecting complex multiplication. Computational aspects of algebraic curves, Lecture Notes Ser. Comput. 13, 38-50, (2005), World Sci. Publ., Hackensack, NJ Isogeny, 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 Schertz, R.: Complex Multiplication. New Mathematical Monographs, vol. 15. Cambridge University Press, Cambridge (2010) Research exposition (monographs, survey articles) pertaining to number theory, Complex multiplication and moduli of abelian varieties, Integral representations related to algebraic numbers; Galois module structure of rings of integers, Applications to coding theory and cryptography of arithmetic geometry, Units and factorization, Class numbers, class groups, discriminants, Other abelian and metabelian 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 Varieties over global fields, Brauer groups of schemes, \(K3\) surfaces and Enriques surfaces, Hasse principle, weak and strong approximation, Brauer-Manin obstruction, Complex multiplication and moduli of abelian varieties
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