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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Geometric methods (including applications of algebraic geometry) applied to coding theory, Applications to coding theory and cryptography of arithmetic geometry
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Lagrangian submanifolds; Maslov index, Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category, Geometric aspects of tropical 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 ruled surfaces, Families, moduli, classification: algebraic theory, 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 Algebraic moduli of abelian varieties, classification, Toric varieties, Newton polyhedra, Okounkov bodies, (Co)homology theory in algebraic geometry, Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic 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 Homotopy theory and fundamental groups in algebraic geometry, Coverings in algebraic geometry, 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 A. N. Kapustin and D. O. Orlov, Lectures on mirror symmetry, derived categories, and D-branes, Uspekhi Mat. Nauk 59 (2004), no. 5(359), 101 -- 134 (Russian, with Russian summary); English transl., Russian Math. Surveys 59 (2004), no. 5, 907 -- 940. Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Symplectic aspects of Floer homology and cohomology, String and superstring theories; other extended objects (e.g., branes) in quantum field 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 P. Albin; C. Guillarmou; L. Tzou; G. Uhlmann, Inverse boundary problems for systems in two dimensions, Ann. Henri Poincaré, 14, 1551, (2013) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Schrödinger operator, Schrödinger equation, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field 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 Talalaev, D. V. and Chervov, A. V., ``Hitchin system on singular curves,'' e-print (2004). Relationships between algebraic curves and integrable systems, Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Vector bundles on curves and their moduli, Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties G. Gaiffi, ''Real structures of models of arrangements,'' Int. Math. Res. Not., iss. 64, pp. 3439-3467, 2004. Arrangements of points, flats, hyperplanes (aspects of discrete geometry), Global theory and resolution of singularities (algebro-geometric aspects), Relations with arrangements of hyperplanes
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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), Singularities in algebraic geometry, Infinitesimal methods 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 Transcendental methods, Hodge theory (algebro-geometric aspects), Special surfaces, Transcendental methods of algebraic geometry (complex-analytic aspects)
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties A. Ogus, Periods of integrals in characteristic \(p\) , Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Warsaw, 1983), PWN, Warsaw, 1984, pp. 753-762. \(p\)-adic cohomology, crystalline cohomology, Finite ground fields in algebraic geometry, Special 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 V. F. Mazurovskii, ''Configurations of at most 6 lines of \(\mathbb{R}\)P3,''Lect. Notes Math.,1524, 354--371 (1992). Combinatorial geometries and geometric closure systems, Topology of real algebraic varieties, Configuration theorems in linear incidence 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 Lusztig, G.: On the character values of finite Chevalley groups at unipotent element. J. Algebra,104, 146--194 (1986) Representation theory for linear algebraic groups, Linear algebraic groups over finite fields, Cohomology theory for linear algebraic groups, \(p\)-adic cohomology, crystalline cohomology, 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 Rational and birational maps, Rational and unirational varieties
| 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 de Jong, Johan; van der Put, Marius, Étale cohomology of rigid analytic spaces, Doc. Math., 1, 01, 1-56, (1996) Local ground fields in algebraic geometry, Étale and other Grothendieck topologies and (co)homologies, Non-Archimedean analysis
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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 Y. Namikawa, ''Periods of Enriques surfaces'',Math. Ann.,270, 201--222 (1985). Special surfaces, Transcendental methods of algebraic geometry (complex-analytic aspects), Period matrices, variation of Hodge structure; degenerations, 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 M. Green, Generic initial ideals, in Six lectures on commutative algebra, Birkhäuser, Boston, 2010. Ideals and multiplicative ideal theory in commutative rings, Relevant commutative 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 Low codimension problems in algebraic geometry, Rationally connected 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 surfaces, elliptic or Calabi-Yau fibrations, Rational and unirational varieties, Algebraic dependence theorems, Birational geometry, Holomorphic bundles and generalizations
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Singularities of surfaces or higher-dimensional varieties, Modifications; resolution of singularities (complex-analytic aspects), Complex surface and hypersurface singularities
| 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. Uribe-Vargas, ''A Projective Invariant for Swallowtails and Godrons, and Global Theorems on the Flecnodal Curve,'' Moscow Math. J. 6, 731--768 (2006). Catastrophe theory, Deformation of singularities, Singularities in algebraic geometry, Complex surface and hypersurface singularities, Projective differential geometry, Affine differential geometry, Surfaces in Euclidean and related spaces, Symplectic geometry, contact geometry, Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties A. Logan, ''The Kodaira dimension of moduli spaces of curves with marked points,'' Amer. J. Math., vol. 125, iss. 1, pp. 105-138, 2003. Families, moduli of curves (algebraic), Singularities of curves, local rings, Special divisors on curves (gonality, Brill-Noether 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 Robert F. Coleman, Torsion points on Fermat curves, Compositio Math. 58 (1986), no. 2, 191 -- 208. Jacobians, Prym varieties, Special algebraic curves and curves of low genus, Global ground fields in algebraic geometry, 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 varieties and schemes; Arakelov theory; heights, Riemann-Roch theorems
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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 Stix, J.: Trading degree for dimension in the section conjecture: the non-abelian Shapiro lemma. Math. J. Okayama Univ. 52, 29--43 (2010)Zbl 1190.14028 MR 2589844 Coverings of curves, fundamental group, Rational points, Extensions, wreath products, and other compositions of 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 Okounkov, A, Hilbert schemes and multiple \(q\)-zeta values, Funct. Anal. Appl., 48, 138-144, (2014) Parametrization (Chow and Hilbert schemes), Binomial coefficients; factorials; \(q\)-identities, Enumerative problems (combinatorial problems) in algebraic geometry, Multiple Dirichlet series and zeta functions and multizeta values
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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 Automorphisms of surfaces and higher-dimensional varieties, \(3\)-folds, Rational and birational maps
| 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 Group schemes, Formal groups, \(p\)-divisible groups, 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 A. N. Grishkov and A. N. Zubkov, ''Solvable, reductive and quasireductive supergroups,'' submitted to \textit{J. Alg.}; see arXiv: math.RT/1302.5648. Supervarieties, Noncommutative algebraic geometry, Group 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 Conference proceedings and collections of articles, 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 differential 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 Bassendowski, D.: Klassifikation Hilbertscher Modulflächen zur symmetrischen Hurwitz-Maass-Erweiterung. Dissertation, Bonn, 1984 Special surfaces, Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular 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 Graber, T.: Rational Curves and Rational Points. International Congress of Mathematicians, vol. II, pp. 603--611. Eur. Math. Soc., Zürich (2006) Rational points, Special 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 Rietsch, K., Closure relations for totally nonnegative cells in \(G/P\), Math. Res. Lett., 13, 5-6, 775-786, (2006) Grassmannians, Schubert varieties, flag manifolds, Linear algebraic groups over arbitrary 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 10.1007/s00222-015-0595-7 Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves, \(K3\) surfaces and Enriques surfaces, Jacobians, Prym varieties, Syzygies, resolutions, complexes and commutative rings
| 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 Breske, S.; Labs, O.; van Straten, D., Real line arrangements and surfaces with many real nodes, (Jüttler, B.; Piene, R., Geometric Modeling and Algebraic Geometry, (2008), Springer Berlin), 47-54 Singularities of surfaces or higher-dimensional varieties, Hypersurfaces and algebraic geometry, Topology of real algebraic 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 Real algebra, Real algebraic and real-analytic geometry, Determinantal 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 Amnon Yekutieli, Decomposition of the Hochschild complex of a scheme in arbitrary characteristic, Canad. J. Math. 54 (2002), no. 4, 866 -- 896. Amnon Yekutieli, The continuous Hochschild cochain complex of a scheme, Canad. J. Math. 54 (2002), no. 6, 1319 -- 1337. (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Resolutions; derived functors (category-theoretic aspects), Syzygies, resolutions, complexes in associative algebras
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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 Perrucci, D, Linear solving for sign determination, Theor. Comput. Sci., 412, 4715-4720, (2011) Symbolic computation and algebraic computation, Effectivity, complexity and computational aspects of 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 Automorphisms of curves, 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 A. Dimca and G. Sticlaru, Syzygies of Jacobian ideals and weighted homogeneous singularities, J. Symbolic Comput. 74 (2016), 627-634. Hypersurfaces and algebraic geometry, Complex surface and hypersurface singularities, Singularities in algebraic geometry, Syzygies, resolutions, complexes and commutative 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 S. J. Kovács, ''Subvarieties of moduli stacks of canonically polarized varieties: generalizations of Shafarevich's conjecture,'' in Algebraic Geometry-Seattle 2005. Part 2, Providence, RI: Amer. Math. Soc., 2009, vol. 80, pp. 685-709. Generalizations (algebraic spaces, stacks), Families, moduli, classification: algebraic theory, Stacks and moduli problems, Algebraic moduli problems, moduli of vector bundles, Fine and coarse moduli spaces, Fibrations, degenerations in algebraic geometry, Formal methods and deformations in algebraic geometry, Families, moduli of curves (algebraic), Deformations of complex structures
| 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 Phong D. and Sturm J., Lectures on stability and constant scalar curvature, Current developments in mathematics 2007, International Press, Somerville (2009), 101-176. Global differential geometry of Hermitian and Kählerian manifolds, Notions of stability for complex manifolds, Toric varieties, Newton polyhedra, Okounkov bodies, Calabi-Yau manifolds (algebro-geometric aspects), Kähler-Einstein manifolds, Complex Monge-Ampère operators, Geometric invariant 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 Families, moduli, classification: algebraic theory, \(K3\) surfaces and Enriques surfaces, Mirror symmetry (algebro-geometric aspects), Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Algebraic moduli problems, moduli of vector bundles
| 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 J. Bolte, A. Daniilidis, and A. S. Lewis, \textit{Generic optimality conditions for semialgebraic convex programs}, Math. Oper. Res., 36 (2011), pp. 55--70, . Sensitivity, stability, parametric optimization, Semialgebraic sets and related spaces, Semi-analytic sets, subanalytic sets, and generalizations, Sensitivity, stability, well-posedness, Linear programming
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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 of surfaces or higher-dimensional varieties, General binary quadratic forms, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Polynomial rings and ideals; rings of integer-valued polynomials, 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 String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supersymmetric field theories in quantum mechanics, Calabi-Yau manifolds (algebro-geometric aspects), Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Toric varieties, Newton polyhedra, Okounkov bodies, Research exposition (monographs, survey articles) pertaining to quantum 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 Keedwell A.D.: Simple constructions for elliptic cubic curves with specified small numbers of points. Eur. J. Comb. \textbf{9}, 463-481 (1988). Finite affine and projective planes (geometric 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 Effectivity, complexity and computational aspects of algebraic geometry, Projective techniques 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 Research exposition (monographs, survey articles) pertaining to associative rings and algebras, Representations of quivers and partially ordered sets, Representation type (finite, tame, wild, etc.) of associative algebras, Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, 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 [9] J. Cassels, \(Mordell's finite basis theorem revisited\). Math. Proc. of the Cambridge Phil. Soc. 100 (1986), 31-41. &MR 8 | &Zbl 0601. History of algebraic geometry, Rational points, History of mathematics in the 20th century, Cubic and quartic Diophantine equations, Higher degree equations; Fermat's equation, History of mathematics in the 19th century, 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 Noncommutative geometry methods in quantum field theory, Finite-dimensional groups and algebras motivated by physics and their representations, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field 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 Plane and space curves
| 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 Rabin, J. M.; Topiwala, P.: Super Riemann surfaces are algebraic curves. (1988) Supervarieties, Riemann surfaces; Weierstrass points; gap sequences, Algebraic dependence theorems, Riemann surfaces, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several 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 Dario Portelli and Walter Spangher, On the equations which are needed to define a closed subscheme of the projective space, J. Pure Appl. Algebra 98 (1995), no. 1, 83 -- 93. Schemes and morphisms, Complete intersections, 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 D. R Richman, On vector invariants over finite fields, Adv. in Math. 81 (1990), 30--65. Actions of groups on commutative rings; invariant theory, Geometric invariant theory, Polynomials over finite 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 Campana, F. , Peternell, Th. : On the second exterior power of tangent bundles of 3-folds , Comp. Math 83 (1992), 329-346. \(3\)-folds, Fano 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 Global theory and resolution of singularities (algebro-geometric aspects), Singularities of curves, local 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 Buczyński, J.; Jelisiejew, J., Finite schemes and secant varieties over arbitrary characteristic, Differential Geom. Appl., 55, 13-67, (2017) Determinantal varieties, Local deformation theory, Artin approximation, etc., Parametrization (Chow and Hilbert schemes), Schemes and morphisms, Homogeneous spaces 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 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 Itenberg, I.: On the number of even ovals of a nonsingular curve of even degree in \({\mathbb{R}}P^2\) . In: Topology, Ergodic Theory, Real Algebraic Geometry. Amer. Math. Soc. Transl. Ser. 2, vol. 202, pp. 121--129. Amer. Math. Soc., Providence (2001) Plane and space curves, Enumerative problems (combinatorial problems) in algebraic geometry, Topology of real algebraic varieties
| 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 Coverings of curves, fundamental group, Arithmetic ground fields for curves, Local 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 Chiu-Chu Melissa Liu, Kefeng Liu, and Jian Zhou, On a proof of a conjecture of Mariño-Vafa on Hodge integrals, Math. Res. Lett. 11 (2004), no. 2-3, 259 -- 272. Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Families, moduli of curves (algebraic)
| 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 Dadok, J.; Harvey, R., Calibrations on \({\mathbb{R}}^6\), Duke Math. J., 4, 1231-1243, (1983) Geometric measure and integration theory, integral and normal currents in optimization, Convex sets in \(n\) dimensions (including convex hypersurfaces), Geometries with algebraic manifold structure, Surfaces and higher-dimensional varieties, Exterior algebra, Grassmann algebras, Minimal surfaces in differential geometry, surfaces with prescribed mean curvature
| 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 Complete intersections, Special surfaces, Curves 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 Collections of abstracts of lectures, Proceedings of conferences of miscellaneous specific interest, Families, moduli of curves (algebraic), Singularities of curves, local rings, Special divisors on curves (gonality, Brill-Noether theory), Divisors, linear systems, invertible sheaves, \(K3\) surfaces and Enriques surfaces, Automorphisms of surfaces and higher-dimensional varieties, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Hyper-Kähler and quaternionic Kähler geometry, ``special'' 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 Representations of quivers and partially ordered sets, Cluster algebras, Derived categories, triangulated categories, Grassmannians, Schubert varieties, flag manifolds, Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers
| 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 Formal groups, \(p\)-divisible groups, Rigid analytic geometry, Geometric invariant theory
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Pál, A, Solvable points on projective algebraic curves, Can. J. Math., 56, 612-637, (2004) Arithmetic ground fields for curves, \(p\)-adic and power series fields
| 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 Arithmetic dynamics on general algebraic varieties, Asymptotic results on counting functions for algebraic and topological structures, Positive characteristic ground fields in algebraic geometry, Isogeny, Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics, Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc.
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Fibrations, degenerations in algebraic geometry, Fano varieties, Rationally connected varieties, Vector bundles on surfaces and higher-dimensional varieties, and their moduli
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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 Vector bundles on curves and their moduli, Algebraic moduli problems, moduli of vector bundles, Torelli problem, Automorphisms of 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 Quadratic forms over general fields, General ternary and quaternary quadratic forms; forms of more than two variables, Knot theory, Projective techniques in algebraic geometry, Group actions on manifolds and cell complexes in low dimensions
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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, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Computer solution of Diophantine equations
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Boris Youssin, Newton polyhedra of ideals, Mem. Amer. Math. Soc. 87 (1990), no. 433, i -- vi, 75 -- 99. Toric varieties, Newton polyhedra, Okounkov bodies, Ideals and multiplicative ideal theory in commutative rings, Relevant commutative 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 Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Differential graded algebras and applications (associative algebraic 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 Curves over finite and local fields, Special divisors on curves (gonality, Brill-Noether 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 Obousy, R.; Cleaver, G.: Radius destabilization in five dimensional orbifolds due to an enhanced Casimir effect Relativistic cosmology, String and superstring theories in gravitational theory, Electromagnetic interaction; quantum electrodynamics, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field 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 Computational aspects of algebraic curves, Families, moduli of curves (algebraic), Arithmetic ground fields for curves, Automorphisms of curves, Special algebraic curves and curves of low genus, 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 Global theory and resolution of singularities (algebro-geometric aspects), Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties J.M. Rojas, Uncomputably large integral points on algebraic plane curves?, Theoret. Comput. Sci., 235 (this Vol.) (2000) 145--162. Decidability of theories and sets of sentences, Diophantine equations in many variables, Arithmetic problems in algebraic geometry; Diophantine geometry, Decidability (number-theoretic aspects), Curves of arbitrary genus or genus \(\ne 1\) over global fields, Curves in algebraic geometry, Rational and ruled surfaces, Undecidability and degrees of 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 Esnault, H.: Some elementary theorems about divisibility of 0-cycles on abelian varieties defined over finite fields, Int. math. Res. not., No. 19, 929-935 (2004) Arithmetic ground fields for abelian varieties, Algebraic cycles, Finite ground fields in algebraic geometry
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants, Singularities 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 Compactifications; symmetric and spherical varieties, Representation theory for linear algebraic groups
| 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 Commutative rings defined by binomial ideals, toric rings, etc., Toric varieties, Newton polyhedra, Okounkov bodies, Semigroups
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Goren, E. Z., \textit{on certain reduction problems concerning abelian surfaces}, Manuscripta Math., 94, 33-43, (1997) Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Variation of Hodge structures (algebro-geometric aspects), Fibrations, degenerations in algebraic geometry, Holomorphic symplectic varieties, hyper-Kähler varieties, Structure of families (Picard-Lefschetz, monodromy, 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 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to global analysis, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to geometry, General theory of linear incidence geometry and projective geometries, Theory of singularities and catastrophe theory, Symplectic geometry, contact geometry, Toric varieties, Newton polyhedra, Okounkov bodies
| 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 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 A. Myasnikov and N. Romanovskiy, ''Universal theories for rigid soluble groups,'' \textit{Algebra and Logic}, \textbf{50}, No. 6, 539-552 (2011). Equational compactness, Equational classes, universal algebra in model theory, Equational logic, Mal'tsev conditions, Quasivarieties, Foundations of 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 Transcendental methods, Hodge theory (algebro-geometric aspects), Variation of Hodge structures (algebro-geometric aspects), Mixed Hodge theory of singular varieties (complex-analytic 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 Grassmannians, Schubert varieties, flag manifolds, Reflection and Coxeter groups (group-theoretic 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 A. Nagano, Period differential equations for the families of \(K3\) surfaces with two parameters derived from the reflexive polytopes , Kyushu J. Math. 66 (2012), 193-244. \(K3\) surfaces and Enriques surfaces, Other hypergeometric functions and integrals in several variables, Abelian varieties and schemes, Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Three-dimensional polytopes
| 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 M. Amram, D. Garber and M. Teicher, On the fundamental group of the complement of two tangent conics and an arbitrary number of tangent lines, arXive:math/0612346v2. Homotopy theory and fundamental groups in algebraic geometry, Enumerative problems (combinatorial problems) 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 Optimality conditions and duality in mathematical programming, Nonconvex programming, global optimization, Nonlinear programming, Semialgebraic sets and related spaces, Real polynomials: analytic properties, etc., Polynomials in number theory, Special polynomials in general fields
| 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 Fortuna, E., Gianni, P., Parenti, P., Traverso, C.: Algorithms to compute the topology of orientable real algebraic surfaces. J. Symbolic Comput. 36(3--4), 343--364 (2003) Computational aspects of algebraic surfaces, Topology of real algebraic varieties, Symbolic computation and algebraic computation
| 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 Finite ground fields in algebraic geometry, Coverings of curves, fundamental group, Vector bundles on curves and their moduli, Other abelian and metabelian extensions, Jacobians, Prym varieties
| 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 Venezia, A.: On a characterization of the set of lines which either belong to or are tangent to a non-singular quadric in \(PG(3,q)\), q odd. Rend. semin. Mat. brescia 7, 617-623 (1984) Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations), Grassmannians, Schubert varieties, flag manifolds
| 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 Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Geometric invariant theory, Derived categories, triangulated categories
| 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 Elkies, N. D.; Schütt, M., Modular forms and K3 surfaces, Adv. Math., 240, 106-131, (2013) \(K3\) surfaces and Enriques surfaces
| 0
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