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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 A. Vasiu, Generalized Serre-Tate ordinary theory, manuscript math.NT/0208216. Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to number theory, \(p\)-adic cohomology, crystalline cohomology, Arithmetic ground fields for abelian varieties, Abelian varieties of dimension \(> 1\), 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 Elisavet Konstantinou and Aristides Kontogeorgis, Ramanujan invariants for discriminants congruent to 5\pmod{24}, Int. J. Number Theory 8 (2012), no. 1, 265 -- 287. Class field theory, Modular and automorphic functions, Complex multiplication and moduli of abelian varieties, Class numbers, class groups, discriminants, 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 Heights, Abelian varieties of dimension \(> 1\), Complex multiplication and moduli of abelian varieties, \(L\)-functions of varieties over global fields; 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 Dose, V., On the automorphisms of the nonsplit Cartan modular curves of prime level, Nagoya Math. J., 224, 1, 74-92, (2016), MR 3572750 Modular and Shimura varieties, Elliptic curves over global fields, Structure of modular groups and generalizations; arithmetic groups, Complex multiplication and moduli of abelian varieties, Rational points, Automorphisms of curves, 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 Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Families, moduli of curves (analytic), Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Complex multiplication and moduli of 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 Transcendence theory of elliptic and abelian functions, 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 Silverman, J. H.: A survey of the arithmetic theory of elliptic curves. Modular forms and Fermat's last theorem (1997) Elliptic curves over global fields, Elliptic curves over local fields, Research exposition (monographs, survey articles) pertaining to number theory, Elliptic curves, Complex multiplication and moduli of abelian varieties, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Rational points
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 Drinfel'd modules; higher-dimensional motives, etc., Elliptic curves over global fields, Arithmetic theory of algebraic function fields, 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 Arithmetic ground fields for abelian varieties, Arithmetic aspects of modular and Shimura varieties, Complex multiplication and moduli of abelian varieties, Heights, Model theory (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 Topology of real algebraic varieties, Enumerative problems (combinatorial problems) 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 Higher degree equations; Fermat's equation, Complex multiplication and moduli of abelian varieties, Elliptic curves over global fields, Elliptic curves over local fields, 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 Van Wamelen, P., \textit{examples of genus two CM curves defined over the rationals}, Math. Comp., 68, 307-320, (1999) Computational aspects of algebraic curves, Symbolic computation and algebraic computation, Software, source code, etc. for problems 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 Algebraic theory of abelian varieties, Complex multiplication and moduli of abelian varieties, 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 Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms, \(p\)-adic theory, local fields, Complex multiplication and moduli of abelian varieties, 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 Vasiu, Integral models in unramified mixed characteristic (0,2) of hermitian orthogonal Shimura varieties of PEL type, Part I, J. Ramanujan Math. Soc. 27 (4) pp 425-- (2012) Arithmetic aspects of modular and Shimura varieties, Abelian varieties of dimension \(> 1\), 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 DOI: 10.4153/CJM-2001-005-5 Complex multiplication and moduli of abelian varieties, Modular and Shimura varieties, Galois representations
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. Yafaev, ''Special points on products of two Shimura curves,'' Manuscripta Math., vol. 104, iss. 2, pp. 163-171, 2001. Modular and Shimura varieties, Complex multiplication and abelian varieties, Modular correspondences, etc.
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 Bauer, T.; Herrig, T., Fixed-points of endomorphisms on two-dimensional complex tori, J. Algebra, 458, 352-363, (2016) Varieties and morphisms, Complex multiplication and abelian varieties, Automorphisms of surfaces and 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 Carls, R.: Theta null points of 2-adic canonical lifts 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 Jacobians, Prym varieties, Arithmetic ground fields for curves, Special algebraic curves and curves of low genus, Plane and space curves, Analytic theory of abelian varieties; abelian integrals and differentials, 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 M. J. Taylor, Mordell-Weil groups and the Galois module structure of rings of integers. Illinois J. Math. 32 (1988), 428-452. Zbl0631.14033 MR947037 Complex multiplication and abelian varieties, Rational points, Integral representations related to algebraic numbers; Galois module structure of rings of integers, Special algebraic curves and curves of low genus, Elliptic curves, 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 A. Weng, A class of hyperelliptic CM-curves of genus three, J. Ramanujan Math. Soc. 16 (2001), 339--372. Curves of arbitrary genus or genus \(\ne 1\) over global fields, Complex multiplication and moduli of abelian varieties, Finite ground fields in algebraic geometry, 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. Plater , Height Pairings on Elliptic Curves, Ph.D. Thesis , Cambridge University , 1991 . Elliptic curves over global fields, Elliptic curves, Iwasawa theory, 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 C. Schoen, Complex multiplication cycles on elliptic modular threefolds, Duke Math. J. 53 (1986), no. 3, 771-794. \(3\)-folds, (Equivariant) Chow groups and rings; motives, Complex multiplication and abelian varieties, Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular 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 Elliptic curves, Galois representations, Elliptic curves over global fields, 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 Complex multiplication and abelian 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. Cornut and V. Vatsal, CM points and quaternion algebras, Doc. Math. 10 (2005), 263-309. Complex multiplication and moduli of abelian varieties, Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, Arithmetic aspects of modular and Shimura 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 Ribet, K. A.: Generalization of a theorem of tankeev. Exposé no. 17 (5 Mars 1982) Complex multiplication and abelian varieties, Transcendental methods, Hodge theory (algebro-geometric 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 Reimann, Harry; Zink, Thomas, Der Dieudonnémodul einer polarisierten abelschen Mannigfaltigkeit vom CM-Typ, Ann. of Math. (2), 0003-486X, 128, 3, 461-482, (1988) Algebraic moduli of abelian varieties, classification, Complex multiplication and abelian varieties, Formal groups, \(p\)-divisible groups, 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 N.M. Katz, ''p-Adic L-functions for CM-fields,'' Invent. Math. 49(3), 199--297 (1978). Zeta functions and \(L\)-functions, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), \(p\)-adic differential equations, Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), 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 G. Robert, La racine 12-ième canonique \(\Delta (L)^[\underlineL : L]/\Delta (\underlineL)\), in Séminaire de Théorie des Nombres, Paris, 1989--90, Progr. Math. 102, Birkäuser Boston, Boston, MA, 1992, 209--232. Holomorphic modular forms of integral weight, Complex multiplication and moduli of abelian varieties, Elliptic curves, 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 Units and factorization, Zeta functions and \(L\)-functions of number fields, \(p\)-adic cohomology, crystalline cohomology, 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 Cyclotomic extensions, Galois theory, Complex multiplication and abelian varieties, Zeta functions and \(L\)-functions, 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 [5] --, `` The Hodge rings of abelian varieties associated to certain subsets of finite fields {'', \(J. Math. Sci. Univ. Tokyo\)14 (2007), no. 1, p. 99-111. &MR 23 | &Zbl 1133.} Transcendental methods, Hodge theory (algebro-geometric aspects), Complex multiplication and 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 Rationality questions in algebraic geometry, Fano varieties, Holomorphic symplectic varieties, hyper-Kähler varieties, \(3\)-folds, \(4\)-folds, \(n\)-folds (\(n>4\)), Automorphisms of surfaces and higher-dimensional varieties, Complex multiplication and abelian varieties, Picard schemes, higher Jacobians, Algebraic cycles, Elliptic curves, Hypersurfaces and 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 Applications of methods of algebraic \(K\)-theory in algebraic geometry, Complex multiplication and abelian varieties, Elliptic curves, Relations of \(K\)-theory with cohomology theories, \(K\)-theory of schemes
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 Yang, Tonghai, An arithmetic intersection formula on Hilbert modular surfaces, Amer. J. Math., 132, 5, 1275-1309, (2010) Arithmetic varieties and schemes; Arakelov theory; heights, 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 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 González J., Rev. Mat. Iberoam. 27 pp 733-- (2011) Arithmetic aspects of 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 Complex multiplication and moduli of abelian varieties, Arithmetic aspects of modular and Shimura varieties, Elliptic curves 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 Rigid analytic geometry, Local ground fields in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), 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 Coleman, Robert F., Torsion points on curves and \textit{p}-adic abelian integrals, Ann. of Math. (2), 121, 1, 111-168, (1985), MR782557 Analytic theory of abelian varieties; abelian integrals and differentials, Local ground fields in algebraic geometry, Complex multiplication and abelian varieties, Rational points, Special algebraic curves and curves of low genus, Elliptic curves, Algebraic functions and function fields in algebraic geometry, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.)
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 Yen-Mei J. Chen, The Selmer groups and the ambiguous ideal class groups of cubic fields, Bull. Austral. Math. Soc. 54 (1996), no. 2, 267 -- 274. Elliptic curves over global fields, Class numbers, class groups, discriminants, Elliptic curves, 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 Transcendental methods, Hodge theory (algebro-geometric aspects), 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, Modular and Shimura varieties, Arithmetic aspects of modular and Shimura varieties, Heights, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to 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 -B. Runge, Picard modular surfaces.RIMS Proceedings 965 (Surikaisekikenkyusho Kokyuroku 965) (Proceedings of the International Conference on Automorphic Forms on Algebraic Group, Kyoto 1995), (1996) 23--40. Other groups and their modular and automorphic forms (several variables), Modular and Shimura varieties, 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 10.1017/S1474748013000182 Elliptic curves over global fields, Isogeny, Complex multiplication and moduli of abelian 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 N. Aoki, Hodge cycles on CM abelian varieties of Fermat type, Comm. Math. Univ. Sancti Pauli 51 (2002), 99-130. Transcendental methods, Hodge theory (algebro-geometric aspects), Complex multiplication and abelian varieties, 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 Complex multiplication and moduli of abelian varieties, Arithmetic aspects of modular and Shimura varieties, Modular and Shimura varieties, Rational points
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 Edixhoven B. (2005): On the p-adic geometry of traces of singular moduli. Int. J. Number Theory 1(4): 495--498 Holomorphic modular forms of integral weight, Modular and Shimura 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 Complex multiplication and moduli of abelian varieties, Varieties 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 Ratazzi, N., Borne sur la torsion dans les variétés abéliennes de type CM, Ann. Sci. Éc. Norm. Supér., 40, 6, 951-983, (2007) Arithmetic ground fields for 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 Bannai, K.; Kobayashi, S., Algebraic theta functions and the \textit{p}-adic interpolation of Eisenstein-Kronecker numbers, Duke math. J., 153, 229-295, (2010) \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Theta functions and abelian varieties, Complex multiplication and abelian varieties, 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 R. Greenberg, K. Rubin, A. Silverberg, M. Stoll, On elliptic curves with an isogeny of degree 7. to appear in the American Journal of Mathematics,http://arxiv.org/abs/1007.4617. Elliptic curves over global fields, Complex multiplication and moduli of abelian varieties, Galois representations, Isogeny
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 Achter, Jeffrey D., Hilbert-Siegel moduli spaces in positive characteristic, Rocky Mountain J. Math., 0035-7596, 33, 1, 1-25, (2003) Algebraic moduli of abelian varieties, classification, 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 External book reviews, 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 Analytic theory of abelian varieties; abelian integrals and differentials, Complex multiplication and 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 V. Kumar Murty, Splitting of abelian varieties, Intl. Math. Res. Notices, 12, (2008) Arithmetic ground fields for abelian varieties, Complex multiplication and abelian varieties, 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 Koblitz, Neal, \textit{CM}-curves with good cryptographic properties, (Advances in Cryptology--CRYPTO\(###\)91, Santa Barbara, CA, 1991, Lecture Notes in Comput. Sci., vol. 576, (1992), Springer Berlin), 279-287 Elliptic curves, Cryptography, Algebraic coding theory; cryptography (number-theoretic aspects), Factorization; primality, 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 Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Algebraic moduli problems, moduli of vector bundles, Geometric Langlands program (algebro-geometric aspects), Generalizations (algebraic spaces, stacks), Transcendental methods, Hodge theory (algebro-geometric aspects), Étale and other Grothendieck topologies and (co)homologies, Vector bundles on curves and their moduli, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Complex multiplication and moduli of abelian varieties, Proceedings of conferences of miscellaneous specific interest, Festschriften
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: 10.1215/S0012-7094-99-09611-4 Complex multiplication and 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 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 Projective techniques in algebraic geometry, Positive characteristic ground fields in algebraic geometry, 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 W. Dale Brownawell and Robert Tubbs, Large transcendence degree revisited. II. The CM case, Diophantine approximation and transcendence theory (Bonn, 1985) Lecture Notes in Math., vol. 1290, Springer, Berlin, 1987, pp. 175 -- 188. 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 Complex multiplication and abelian varieties, Elliptic curves, Arithmetic ground fields for curves, 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 Rapoport, M.: Deformations of formal groups, in [1], pp. 139--170 Formal groups, \(p\)-divisible groups, Modular correspondences, 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 Abelian varieties of dimension \(> 1\), Distribution of primes, Complex multiplication and abelian varieties, Linear algebraic groups over finite 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 Lan, K.-W., \textit{compactifications of PEL-type Shimura varieties in ramified characteristics}, Forum Math. Sigma, 4, e1, (2016) 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 Curves over finite and local fields, Complex multiplication and moduli of abelian varieties, Class numbers, class groups, discriminants, Class field theory, 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 varieties and schemes; Arakelov theory; heights, 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 F. Hazama, Demjamenko matrix, class number, and Hodge group.J. Number Theory 34 (1990), 174--177. Cyclotomic extensions, Cyclotomy, Elliptic curves, Iwasawa theory, 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 R. Pries, The \(p\)-rank stratification of Artin-Schreier curves, Ann. l'Institut Fourier, 62, 707, (2012) Complex multiplication and moduli of abelian varieties, Families, moduli of curves (algebraic)
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), Analytic theory of abelian varieties; abelian integrals and differentials, Complex multiplication and abelian varieties, Riemann-Roch theorems
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 theory of other special functions, Modular and automorphic functions, Complex multiplication and moduli of abelian varieties, Class field theory, \(K3\) 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 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 Lombardo, Davide, Galois representations attached to abelian varieties of CM type, Bull. Soc. Math. France, 145, 3, 469-501, (2017) Complex multiplication and abelian varieties, Galois representations, 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 Varieties over finite and local fields, 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 Class numbers, class groups, discriminants, 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 C. Chai and F. Oort, ''Hypersymmetric abelian varieties,'' Pure Appl. Math. Q., vol. 2, iss. 1, pp. 1-27, 2006. Arithmetic ground fields for abelian varieties, Complex multiplication and moduli of abelian varieties, Arithmetic aspects of modular and Shimura varieties, Finite ground fields in algebraic geometry, Formal groups, \(p\)-divisible 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 Gukov S., Vafa C.: Rational conformal field theories and complex multiplication. Commun. Math. Phys. 246, 181--210 (2004) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Complex multiplication and moduli of abelian varieties, Relationship to Lie algebras and finite simple groups, Calabi-Yau manifolds (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 Rotger, V.: Quaternions, polarizations and class numbers. J. reine angew. Math. 561, 177-197 (2003) Complex multiplication and moduli of abelian varieties, Algebraic moduli of abelian varieties, classification, Abelian varieties of dimension \(> 1\), Class numbers, class groups, discriminants, 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 Gonzalez-Aguilera, V, On automorphisms of principally polarized abelian varieties, Geom. Dedicata, 139, 249-258, (2009) Algebraic moduli of abelian varieties, classification, 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 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 Hashimoto, Ki-ichiro; Tsunogai, Hiroshi, On the Sato-Tate conjecture for QM-curves of genus two, Math. Comp., 68, 228, 1649-1662, (1999) \(L\)-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
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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 abelian varieties, 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 van Geemen, B.; Koike, K.; Weng, A., Quotients of Fermat curves and a Hecke character, Finite Fields Appl., 11, 6-29, (2005) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Finite ground fields in algebraic geometry, Complex multiplication and moduli of abelian varieties, Other character sums and Gauss sums, 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 Abelian varieties of dimension \(> 1\), Complex multiplication and moduli of abelian varieties, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), \(K3\) 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 Burgos, J. I.; Wildeshaus, J.: Hodge modules on Shimura varieties and their higher direct images in the baily Borel compactification. Ann. sci. École norm. Sup. 37, 363-413 (2004) Modular and Shimura varieties, Complex multiplication and moduli of abelian varieties, Variation of Hodge structures (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 Elliptic curves over local fields, Complex multiplication and moduli of abelian varieties, Number-theoretic algorithms; complexity, 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 DOI: 10.1090/S0002-9947-04-03587-1 Spectral problems; spectral geometry; scattering theory on manifolds, Complex multiplication and abelian varieties, Spectral theory; trace formulas (e.g., that of Selberg)
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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. Buhler and B. H. Gross, ''Arithmetic on elliptic curves with complex multiplication. II,'' Invent. Math., vol. 79, iss. 1, pp. 11-29, 1985. \(L\)-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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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 Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Riemann surfaces; Weierstrass points; gap sequences, Riemann surfaces, Abelian varieties and schemes, Complex multiplication and abelian varieties, Jacobians, Prym varieties, Transcendental methods, Hodge theory (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), Automorphisms of curves, Automorphisms of surfaces and higher-dimensional varieties, Group actions on varieties or schemes (quotients), Proceedings of conferences 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 Rasmussen, Christopher; Tamagawa, Akio, A finiteness conjecture on abelian varieties with constrained prime power torsion, Math. Res. Lett., 15, 6, 1223-1231, (2008) Abelian varieties of dimension \(> 1\), Complex multiplication and moduli of abelian varieties, Galois representations, 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 Scanlon, T, Local André-Oort conjecture for the universal abelian variety, Invent. Math., 163, 191-211, (2006) Modular and Shimura varieties, Algebraic moduli of abelian varieties, classification, Abelian varieties of dimension \(> 1\), Complex multiplication and moduli of abelian varieties, Arithmetic aspects of modular and Shimura varieties, Model-theoretic algebra
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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 Bruinier, Y.; Yang, T. H., \textit{twisted borcherds products on Hilbert modular surfaces and their CM values}, Amer. J. Math., 129, 807-841, (2007) Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Modular and Shimura varieties, Complex multiplication and moduli of abelian varieties, Forms of half-integer weight; nonholomorphic modular forms
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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 V. Fleckinger , Monogénéité de certains anneaux d'entiers , Sém. de Théorie des Nombres de Bordeaux ( 1986 - 1987 ), Exposé 7 , 7-01 - 7-11 . Article | Zbl 0662.12003 Algebraic numbers; rings of algebraic integers, Complex multiplication and abelian varieties, 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 Deformations of analytic structures, Complex multiplication and abelian varieties, Theta functions and abelian varieties, Classical hypergeometric functions, \({}_2F_1\)
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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: 10.1023/A:1000106427229 Complex multiplication and moduli of 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 10.1112/blms/33.2.149 Complex multiplication and moduli of abelian varieties, Arithmetic aspects of modular and Shimura varieties, Algebraic moduli of abelian varieties, classification
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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 Special algebraic curves and curves of low genus, Automorphisms of 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 R. Clement, J.M. Echarri, E.J. Gómez Ayala, A geometric proof of Kummer's reciprocity law for seventh powers (submitted for publication) Abelian varieties of dimension \(> 1\), Power residues, reciprocity, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Cyclotomic extensions, Complex multiplication and abelian varieties
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