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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, Arithmetic and non-Archimedean dynamical systems involving analytic and meromorphic maps, Complex multiplication and abelian varieties, Topological entropy, Algebraic theory of abelian varieties, Varieties and morphisms, Entropy and other invariants, isomorphism, classification in ergodic theory
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Forms of half-integer weight; nonholomorphic modular forms, Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms, Abelian varieties of dimension \(> 1\), Complex multiplication and moduli of abelian varieties, Families, moduli of curves (analytic), Theta functions and curves; Schottky problem, Special algebraic curves and curves of low genus, Moduli, classification: analytic theory; relations with modular forms, Algebraic moduli of abelian varieties, classification, Theta functions and abelian varieties, Geometric invariant theory, 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 \(K3\) surfaces and Enriques surfaces, Rational and ruled surfaces, 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, 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 N. Aoki, Some remarks on the Hodge conjecture for abelian varieties of Fermat type, Comm. Math. Univ. Sancti Pauli 49 (2000), 177-194. Transcendental methods, Hodge theory (algebro-geometric aspects), Complex multiplication and abelian varieties, Abelian varieties of dimension \(> 1\)
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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 Complex multiplication and abelian varieties, Finite-dimensional division rings, Abelian varieties of dimension \(> 1\)
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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 Munuera, C.; Tena, J., An algorithm to compute the number of points on elliptic curves of \textit{j}-invariant 0 or 1728 over a finite fields, Rend. Circ. Mat. Palermo, Ser. II, XLII, 106-116, (1993) Number-theoretic algorithms; complexity, Complex multiplication and moduli of abelian varieties, Elliptic curves, Finite ground fields in algebraic geometry, 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 \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, \(p\)-adic theory, local fields, Complex multiplication and moduli of abelian varieties, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Zeta functions and \(L\)-functions of 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 Holzapfel, R.-P., Vladov, N.: Quadric-Line Configurations Degenerating Plane Picard Einstein Metrics I-II, Sitzungsber. der Berliner Math. Ges., Jg. 1997-2000, pp. 79-141. Berlin (2001) Complex multiplication and moduli of abelian varieties, Arithmetic aspects of modular and Shimura varieties, Automorphism groups of lattices, Quadratic extensions, Structure of families (Picard-Lefschetz, monodromy, etc.), Fine and coarse moduli spaces, Coverings 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, Fourier coefficients of automorphic forms, 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 \(K3\) surfaces and Enriques surfaces, Complex multiplication and abelian varieties, Transcendence (general theory), 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 Rational points, Counting solutions of Diophantine equations, Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, 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 Arai, Keisuke, An effective bound of \(p\) for algebraic points on Shimura curves of \(\Gamma_0(p)\)-type, Acta Arith., 164, 4, 343-354, (2014) Arithmetic aspects of modular and Shimura varieties, Rational points, 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 Howard, Benjamin; Yang, Tonghai, Intersections of Hirzebruch-Zagier divisors and CM cycles, Lecture Notes in Mathematics 2041, viii+140 pp., (2012), Springer, Heidelberg Arithmetic aspects of modular and Shimura varieties, Research exposition (monographs, survey articles) pertaining to number theory, Complex multiplication and moduli of abelian varieties, Arithmetic varieties and schemes; Arakelov theory; 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 Frediani, P.; Penegini, M.; Porru, P., Shimura varieties in the Torelli locus via Galois coverings of elliptic curves, Geometriae Dedicata, 181, 177-192, (2016) Modular and Shimura varieties, Families, moduli of curves (analytic), Jacobians, Prym varieties, Period matrices, variation of Hodge structure; degenerations, Complex multiplication and abelian varieties, Torelli 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 Bannai, K.; Kobayashi, S.; Tsuji, T., On the de Rham and \textit{p}-adic realizations of the elliptic polylogarithm for CM elliptic curves, Ann. sci. éc. norm. super., 43, 2, 185-234, (2010) Polylogarithms and relations with \(K\)-theory, Elliptic curves over global fields, Complex multiplication and moduli of abelian varieties, \(p\)-adic cohomology, crystalline cohomology, \(L\)-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 Jacobians, Prym varieties, Arithmetic ground fields for 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 Algebraic moduli of abelian varieties, classification, Complex multiplication and moduli of abelian varieties, Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects), Software, source code, etc. for problems pertaining to category theory, Symbolic computation and algebraic computation
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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, Complex multiplication and abelian varieties, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Elliptic curves, Arithmetic ground fields for 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 Complex multiplication and moduli of abelian varieties, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, 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 J. Oesterle, Construction de hauteurs archimédiennes et \(p\)-adiques suivant la methode de Bloch , Seminar on Number Theory, Paris 1980-81 (Paris, 1980/1981), Progr. Math., vol. 22, Birkhäuser Boston, Boston, MA, 1982, pp. 175-192. Arithmetic ground fields for abelian varieties, Local ground fields in algebraic geometry, Special algebraic curves and curves of low genus, 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 M.J. Taylor , Relative Galois module structure of rings of integers, Orders and their applications (Proceedings of Oberwolfach 1984 ) (I. Reiner & K.W. Roggenkamp, eds.), Lect. Notes 1142 , Springer , 1985 , pp. 289 - 306 . MR 812505 | Zbl 0578.12004 Galois theory, Integral representations related to algebraic numbers; Galois module structure of rings of integers, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Galois cohomology, Complex multiplication and abelian varieties, Group rings
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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 Hida, H.: Elliptic Curves and Arithmetic Invariants. Springer Monographs in Mathematics. Springer, New York (2013). xviii+449 pp Research exposition (monographs, survey articles) pertaining to number theory, Arithmetic aspects of modular and Shimura varieties, Elliptic curves over global fields, Complex multiplication and moduli of abelian varieties, Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, Galois representations, Iwasawa theory, Generalizations (algebraic spaces, stacks), 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 Dummit ( D.S. ) and Hayes ( D. ).- Rank one Drinfeld modules on elliptic curves , Math. Comp. 62 , n^\circ 206 ( 1994 ), pp. 875 - 883 , plus 3 microfiches. MR 1218342 | Zbl 0793.11017 Drinfel'd modules; higher-dimensional motives, etc., Complex multiplication and moduli of abelian varieties, Curves over finite and local fields, Elliptic curves, Arithmetic theory of algebraic function 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 B. Perrin-Riou, Arithmétique des courbes elliptiques et théorie d'Iwasawa, Mém. Soc. Math. France (N.S.) (1984), no. 17, 1-130. Global ground fields in algebraic geometry, Special algebraic curves and curves of low genus, Complex multiplication and abelian varieties, Elliptic curves, Cyclotomic extensions, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Arithmetic ground fields for 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 Schütt, M., K3 surfaces of Picard rank 20 over \(\mathbb{Q}\), Algebra Number Theory, 4, 3, 335-356, (2010) \(K3\) surfaces and Enriques surfaces, Holomorphic modular forms of integral weight, Complex multiplication and moduli of abelian varieties, Varieties over finite and local fields, Class numbers, class groups, discriminants
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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 Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), Complex multiplication and moduli of abelian varieties, Cyclotomic extensions, Riemann surfaces; Weierstrass points; gap sequences
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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 \(> 1\), Isogeny, 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 Arithmetic ground fields for abelian varieties, Arithmetic varieties and schemes; Arakelov theory; heights, Local ground fields in algebraic geometry, Algebraic theory 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 Shin, D. H., On some theta constants and class fields, J. Korean Math. Soc., 51, 6, 1269-1289, (2014) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms, 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 Arithmetic ground fields for curves, Arithmetic ground fields for abelian varieties, Development of contemporary mathematics, Elliptic curves, Abelian varieties and schemes, Diophantine equations, Rational points, 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 J. Coates et S. Lang : Diophantine approximations on abelian varieties with complex multiplications . Inventiones Math. 34 (1976) 129-133. Results involving 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 Arithmetic aspects of modular and Shimura varieties, Complex multiplication and moduli of abelian varieties, Heights, Rational points
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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 Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Sheaves of differential operators and their modules, \(D\)-modules
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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 F. Izadi, K. Nabardi, A note on diophantine equation \(A^4+D^4=2(B^4+C^4)\) Rational points, \(K3\) surfaces and Enriques surfaces, 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 Flynn, E. Victor; Testa, Damiano; Van Luijk, Ronald: Two-coverings of Jacobians of curves of genus 2. Proc. lond. Math. soc. (3) 104, No. 2, 387-429 (2012) Coverings of curves, fundamental group, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Abelian varieties of dimension \(> 1\), 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 Semialgebraic sets and related spaces, Decidability of theories and sets of sentences
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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 Gallarati, D, Superficie algebriche con molti punti singolari isolati, Bull. Math. Soc. Sci. Math. Roumanie, 55, 249-274, (2012) Special surfaces, Singularities of surfaces or higher-dimensional varieties, Singularities in algebraic geometry, Computational aspects of algebraic surfaces, Hypersurfaces 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 Simis, A., Ulrich, B.: On the ideal of an embedded join. J. Algebra 226, 1--14 (2000) Projective techniques 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 \beginbarticle \bauthor\binitsN. \bsnmHara, \bauthor\binitsT. \bsnmSawada and \bauthor\binitsT. \bsnmYasuda, \batitle\(F\)-blowups of normal surface singularities, \bjtitleAlgebra Number Theory \bvolume7 (\byear2013), page 733-\blpage763. \endbarticle \OrigBibText N. Hara, T. Sawada and T. Yasuda, \(F\)-blowups of normal surface singularities, Algebra Number Theory 7 (2013), 733-763. \endOrigBibText \bptokstructpyb \endbibitem Singularities in algebraic geometry, Positive characteristic ground fields in algebraic geometry, Global theory and resolution of singularities (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 Catalano-Johnson, M. L.: The homogeneous ideal of higher secant varieties. J. pure appl. Algebra 158, 123-129 (2001) Varieties of low degree, Projective techniques in algebraic geometry, Plane and space 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 Fibrations, degenerations in algebraic geometry, Algebraic moduli problems, moduli of vector bundles
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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 Kachi, Y., Sato E.: Segre's Reflexivity and an Inductive Characterization of Hyperquadrics. Mem. Am. Math. Soc., 160, 763 (2002) Families, moduli, classification: algebraic theory, Fibrations, degenerations in algebraic geometry, Projective techniques in algebraic geometry, \(n\)-folds (\(n>4\)), Minimal model program (Mori theory, extremal rays), Rational and birational maps, \(4\)-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 Brownawell, W. D.: Distance to common zeros and lower bounds for polynomials, , 51-60 (1992) Diophantine approximation, transcendental number theory, Effectivity, complexity and computational aspects of algebraic geometry, Holomorphic 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 J. Kollár, Y. Miyaoka and S. Mori, Rationally connected varieties, J. Algebraic Geom. 1 (1992), no. 3, 429-448. Rational and unirational varieties, Formal methods and deformations in algebraic geometry, Connected and locally connected spaces (general aspects), 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 of conferences of miscellaneous specific interest, Vector bundles on curves and their moduli, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Topological entropy, Structure theory for Lie algebras and superalgebras
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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 Wenger, T.: Massey products in Deligne-cohomology. PhD thesis, Münster University (2000) Secondary and higher cohomology operations in algebraic topology, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Other homology theories in algebraic topology, Motivic cohomology; motivic homotopy theory
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties L. Ein, \textit{Adjoint linear systems}, in: \textit{Current Topics in Complex Algebraic Geometry}, MSRI Publications, 1995, pp. 87-95. Divisors, linear systems, invertible sheaves, Surfaces and 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 Projective techniques in algebraic geometry, Surfaces and 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 [SS] Sekiguchi, T., Suwa, N.: A note on extensions of algebraic and formal groups I. Math. Z.206, 567--575 (1991) Formal groups, \(p\)-divisible groups, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure
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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 Supervarieties, Complex supergeometry, Noncommutative 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 Gromadzki G.: On Singerman symmetries of a class of Belyi Riemann surfaces. J. Pure Appl. Algebra 213, 1905--1910 (2009) Compact Riemann surfaces and uniformization, Riemann surfaces; Weierstrass points; gap sequences
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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. Reeves - M. Stillman, Smoothness of the lexicographic point. J. Algebraic Geom., 6 (2) (1997), pp. 235-246. Zbl0924.14004 MR1489114 Parametrization (Chow and Hilbert schemes), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series
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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/j.aim.2013.10.003 Families, moduli of curves (algebraic), Fine and coarse moduli spaces
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Analytic theory of abelian varieties; abelian integrals and differentials
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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 Questions of classical algebraic geometry, Plane and space 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 Questions of classical algebraic geometry, Surfaces and 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 Rational and unirational varieties, Families, moduli of curves (algebraic), Families, moduli, classification: algebraic theory, Algebraic moduli problems, moduli of vector bundles
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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 David J. Saltman,Groups Acting on Fields: Noether's Problem, Contemp. Mathematics43 (1985), 267--277 Separable extensions, Galois theory, Rational points, Representations of groups as automorphism groups of algebraic systems
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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 Plane and space 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 Algebraic topology on manifolds and differential topology, Products and intersections in homology and cohomology, Classical real and complex (co)homology in algebraic geometry, \(n\)-folds (\(n>4\))
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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 Yamaki K.: Cornalba-Harris equality for semistable hyperelliptic curves in positive characteristic. Asian J. Math. 8(3), 409--426 (2004) Families, moduli of curves (algebraic), Special algebraic curves and curves of low genus, Picard 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 Furushima, M.: Finite groups of polynomial automorphisms in ? n . Tohoku Math. J.35, 415-424 (1983) Complex Lie groups, group actions on complex spaces, Group actions on varieties or schemes (quotients)
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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 Projective and enumerative algebraic geometry, Reflection groups, reflection geometries, Foundations of classical theories (including reverse mathematics)
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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 Singularities in algebraic geometry, Local theory in algebraic geometry, Projective techniques in algebraic geometry, Determinantal varieties, Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes
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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 Govindarajan S 2011 BKM Lie superalgebras from counting twisted CHL dyons \textit{J. High Energy Phys.}JHEP05(2011) 089 String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supersymmetric field theories in quantum mechanics, Black holes, Spinor and twistor methods applied to problems in quantum theory, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Moduli, classification: analytic theory; relations with modular forms, Superalgebras
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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 Parametrization (Chow and Hilbert schemes)
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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 Samuel Boissière and Marc A. Nieper-Wißkirchen, Universal formulas for characteristic classes on the Hilbert schemes of points on surfaces, J. Algebra 315 (2007), no. 2, 924 -- 953. Parametrization (Chow and Hilbert schemes), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Cycles and subschemes
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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 Families, moduli of curves (analytic), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Enumeration in graph theory
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties J.-X. Cai, Degree of the canonical map of a Georenstein \(3\)-fold of general type, Proc. Amer. Math. Soc. 136 (2008), no. 5, 1565--1574. \(3\)-folds, Rational and birational maps, \(4\)-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 L.C. Mihalcea, \textit{Giambelli formulae for the equivariant quantum cohomology of the Grassmannian}, \textit{Trans. AMS}\textbf{360} (2008) 2285 [math/0506335]. Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Symmetric functions and generalizations, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Grassmannians, Schubert varieties, flag 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 Kashiwara, M.: On the maximally overdetermined system of linear differential equations. I. Publ. Res. Inst. Math. Sci. \textbf{10}, 563-579 (1974/75) Semisimple Lie groups and their representations, Compactifications; symmetric and spherical 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 Proceedings of conferences of miscellaneous specific interest, Proceedings, conferences, collections, etc. pertaining to several complex variables and analytic spaces, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Proceedings, conferences, collections, etc. pertaining to manifolds and cell complexes, Proceedings, conferences, collections, etc. pertaining to global analysis
| 0
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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 Quadratic and Koszul algebras, Representations of quivers and partially ordered sets, Derived categories, triangulated categories, Derived categories and associative algebras, ``Super'' (or ``skew'') structure, Derived categories of sheaves, dg categories, and related constructions 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 J. Cimprič, S. Kuhlmann, M. Marshall: Positivity in Power Series Rings, Advances in Geometry, to appear. Formal power series rings, Semialgebraic sets and related spaces, Group actions on varieties or schemes (quotients), 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 Costa, AF; Izquierdo, M.; Riera, G., One-dimensional Hurwitz spaces, modular curves, and real forms of Belyi meromorphic functions, Int. J. Math. Math. Sci., 2008, 1-18, (2008) Families, moduli of curves (algebraic), Coverings of curves, fundamental group, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization)
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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 Braden, T.; Proudfoot, N., The hypertoric intersection cohomology ring, Invent. Math., 177, 2, 337-379, (2009) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Toric varieties, Newton polyhedra, Okounkov bodies
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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 Christopher D. Hacon & James McKernan, ``Boundedness of pluricanonical maps of varieties of general type'', Invent. Math.166 (2006) no. 1, p. 1-25 Minimal model program (Mori theory, extremal rays), Rational and birational maps
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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 D. Auroux, L. Katzarkov, and D. Orlov, ''Mirror Symmetry for Del Pezzo Surfaces: Vanishing Cycles and Coherent Sheaves,'' Invent. Math. 166(3), 537--582 (2006); arXiv:math/0506166. Calabi-Yau manifolds (algebro-geometric aspects), Rational and ruled surfaces, Fano varieties, Families, fibrations 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 Brezhnev, Yu.V.: On uniformization of Burnside's curve y2=x5 - x. J. math. Phys. 50, No. 10 (2009) Compact Riemann surfaces and uniformization, Elliptic curves over global fields, Special algebraic curves and curves of low genus, Basic hypergeometric integrals and functions defined by them
| 0
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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 of conferences of miscellaneous specific interest, Proceedings, conferences, collections, etc. pertaining to algebraic geometry
| 0
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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 Kato, T., Automata in groups and dynamics and tropical geometry, J. Geom. Anal., 24, 901-987, (2014) Geometric theory, characteristics, transformations in context of PDEs, Tropical geometry, Groups acting on trees, Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.), Dynamics induced by group actions other than \(\mathbb{Z}\) and \(\mathbb{R}\), and \(\mathbb{C}\), Growth, boundedness, comparison of solutions to difference 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 Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Mirror symmetry (algebro-geometric aspects), Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Proceedings of conferences of miscellaneous specific interest
| 0
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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 Varieties and morphisms, Divisors, linear systems, invertible sheaves, Other special types of modules and ideals in commutative rings, Hypersurfaces and algebraic geometry
| 0
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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. Harasawa, J. Shikata, J. Suzuki, H. Imai, Comparing the MOV and FR reductions in elliptic curve cryptography, in: Advances in Cryptology--Eurocrypt '99, Lecture Notes in Computer Science, Vol. 1592, Springer, Berlin, 1999, pp. 190--205. Cryptography, Applications to coding theory and cryptography of arithmetic geometry
| 0
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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 Meisters, G. M.: Wanted: a bad matrix. Am. math. Monthly 102, 546-550 (1995) Hermitian, skew-Hermitian, and related matrices, Birational automorphisms, Cremona group and generalizations
| 0
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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 D. Drusvyatskiy, A. D. Ioffe, and A. S. Lewis, \textit{Generic minimizing behavior in semialgebraic optimization}, SIAM J. Optim., 26 (2016), pp. 513--534. Set-valued and variational analysis, Nonsmooth analysis, Sensitivity, stability, well-posedness, Sensitivity, stability, parametric optimization, Semialgebraic sets and related spaces, Semi-analytic sets, subanalytic sets, and generalizations
| 0
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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 Ranganathan, D., \textit{skeletons of stable maps I: rational curves in toric varieties}, J. Lond. Math. Soc. (2), 95, 804-832, (2017) Rigid analytic geometry, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)
| 0
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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 Wiegand R.: Local rings of finite Cohen--Macaulay type. J. Algebra 203(1), 156--168 (1998) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Commutative rings and modules of finite generation or presentation; number of generators, Cohen-Macaulay modules, Hypersurfaces and algebraic geometry
| 0
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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 Fantechi, B.; Göttsche, L.; van Straten, D., Euler number of the compactified Jacobian and multiplicity of rational curves, J. algebraic geom., 8, 1, 115-133, (1999) Jacobians, Prym varieties, Topological properties in algebraic geometry
| 0
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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 Salvatore Giuffrida, Graded Betti numbers and Rao modules of curves lying on a smooth cubic surface in \?³, The Curves Seminar at Queen's, Vol. VIII (Kingston, ON, 1990/1991) Queen's Papers in Pure and Appl. Math., vol. 88, Queen's Univ., Kingston, ON, 1991, pp. Exp. A, 61. Plane and space curves, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Special surfaces, Projective techniques 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 H. Bresinsky, F. Curtis, M. Fiorentini, and L. T. Hoa, On the structure of local cohomology modules for monomial curves in \?³_{\?}, Nagoya Math. J. 136 (1994), 81 -- 114. Plane and space curves, Local cohomology and algebraic geometry
| 0
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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 Hacon, CD; Pardini, R, Surfaces with \(pg = q = 3\), Trans. Am. Math. Soc., 354, 2631-2638, (2002) Surfaces of general type, Families, moduli, classification: algebraic theory
| 0
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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 Henrik Bresinsky, Peter Schenzel, and Wolfgang Vogel, On liaison, arithmetical Buchsbaum curves and monomial curves in \?³, J. Algebra 86 (1984), no. 2, 283 -- 301. Special algebraic curves and curves of low genus, Low codimension problems in algebraic geometry, Multiplicity theory and related topics, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
| 0
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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 Projective analytic geometry, Projective techniques in algebraic geometry, Divisors, linear systems, invertible sheaves
| 0
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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 ----, The structure of a Laurent polynomial fibration in \(n\) variables , J. Algebra 353 (2012), 142-157. Affine fibrations, Polynomial rings and ideals; rings of integer-valued polynomials, Commutative rings and modules of finite generation or presentation; number of generators
| 0
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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 Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Singularities in algebraic geometry, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials
| 0
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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 Global theory and resolution of singularities (algebro-geometric aspects), Coverings in algebraic geometry, Ramification problems in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Surfaces of general type
| 0
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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 Homotopy theory and fundamental groups in algebraic geometry, Topological properties in algebraic geometry
| 0
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