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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Motivic cohomology; motivic homotopy theory, Homotopy theory and fundamental groups in algebraic geometry, Elliptic curves, Polylogarithms and relations with \(K\)-theory, Transcendental methods, Hodge theory (algebro-geometric aspects), Relations of \(K\)-theory with cohomology theories
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Hoyt, W.: On twisted Legendre equations and Kummer surfaces, Proc. sympos. Pure math 49 (1989) \(K3\) surfaces and Enriques surfaces, Transcendental methods, Hodge theory (algebro-geometric aspects), Elliptic surfaces, elliptic or Calabi-Yau fibrations, Complex multiplication and abelian varieties
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic moduli problems, moduli of vector bundles, Ordinary representations and characters, Group actions on varieties or schemes (quotients), Transcendental methods, Hodge theory (algebro-geometric aspects), Free nonabelian groups
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Coverings in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Kato, K, Milnor \(K\)-theory and the Chow group of zero cycles, Contemp. Math. I, I, 241-253, (1986) Applications of methods of algebraic \(K\)-theory in algebraic geometry, Algebraic cycles
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Transcendental methods, Hodge theory (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Barbieri Viale L., Balanced varieties, In: Algebraic K-theory and its Applications, Trieste, September 1--19, 1997, World Scientific, River Edge, 1999, 298--312 Algebraic cycles, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Rational and birational maps
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Harbourne, B.: The (unexpected) importance of knowing \({\alpha}\), , 267-272 (2005) Divisors, linear systems, invertible sheaves, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Algebraic cycles
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Transcendental methods, Hodge theory (algebro-geometric aspects), Formal methods and deformations in algebraic geometry, Variation of Hodge structures (algebro-geometric aspects)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Rebecca Barlow, Rational equivalence of zero cycles for some more surfaces with \?_{\?}=0, Invent. Math. 79 (1985), no. 2, 303 -- 308. Algebraic cycles, (Equivariant) Chow groups and rings; motives
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Hypersurfaces and algebraic geometry, Rationality questions in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), \(K3\) surfaces and Enriques surfaces, Brauer groups of schemes
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Saito, H.: Generalization of Abel's theorem and some finiteness properties of 0-cycles on surfaces. Compositio math. 84, 289-332 (1992) Parametrization (Chow and Hilbert schemes), Algebraic cycles, Picard schemes, higher Jacobians, Jacobians, Prym varieties, Surfaces and higher-dimensional varieties
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Transcendental methods, Hodge theory (algebro-geometric aspects), Compact complex surfaces
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) J. H. M. Steenbrink, ''Semicontinuity of the singularity spectrum,'' Invent. Math., vol. 79, iss. 3, pp. 557-565, 1985. Singularities of surfaces or higher-dimensional varieties, Singularities in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Tankeev, S., On the standard conjecture of Lefschetz type for complex projective threefolds, II, Izvestiya Math., 75, 1047-1062, (2011) Algebraic cycles, Classical real and complex (co)homology in algebraic geometry, \(3\)-folds
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) External book reviews, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Variation of Hodge structures (algebro-geometric aspects), Period matrices, variation of Hodge structure; degenerations, Complex multiplication and moduli of abelian varieties, Complex multiplication and abelian varieties
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Transcendental methods, Hodge theory (algebro-geometric aspects), Quadratic forms over global rings and fields, Langlands-Weil conjectures, nonabelian class field theory, (Equivariant) Chow groups and rings; motives, Group schemes, Abelian varieties and schemes, \(4\)-folds
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) [O'G] O'Grady, K.: The Hodge Structure of the intersections of three quadrics in an odd dimensional projective space. Math. Ann 273 (1986), 277-285 Transcendental methods, Hodge theory (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Varouchas, J.: Propriétés cohomologiques d'une classe de variétés analytiques complexes compactes, Lecture notes in math. 1198, 233-243 (1986) Transcendental methods of algebraic geometry (complex-analytic aspects), Transcendental methods, Hodge theory (algebro-geometric aspects), Complex manifolds, Integration on analytic sets and spaces, currents, Global differential geometry of Hermitian and Kählerian manifolds, Moduli, classification: analytic theory; relations with modular forms
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) H. W. Lenstra, Jr. and Yu. G. Zarhin, The Tate conjecture for almost ordinary abelian varieties over finite fields , Advances in Number Theory: Proceedings of the Third Conference of the CNTA (Kingston, ON, 1991) eds. F. Gouvêa and N. Yui, Oxford Sci. Publ., Clarendon Press, Oxford, 1993, pp. 179-194. Algebraic theory of abelian varieties, Finite ground fields in algebraic geometry, Algebraic cycles, Varieties over finite and local fields
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Friedlander, E., Lawson, H.B.: Duality relating spaces of algebraic cocycles and cycles. Topology 36, 533--565 (1997) Algebraic cycles, Homotopy theory and fundamental groups in algebraic geometry, Classical real and complex (co)homology in algebraic geometry, Generalized (extraordinary) homology and cohomology theories in algebraic topology
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Zhang, Z., A realization for a \(\mathbb{Q}\)-Hermitian variation of Hodge structure of Calabi-Yau type with real multiplication, Math. Res. Lett., 22, no. 3, 967-982, (2015) Variation of Hodge structures (algebro-geometric aspects), Transcendental methods, Hodge theory (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) de Rham cohomology and algebraic geometry, (Equivariant) Chow groups and rings; motives, Transcendental methods, Hodge theory (algebro-geometric aspects), Configurations and arrangements of linear subspaces, Ramification problems in algebraic geometry
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Transcendental methods, Hodge theory (algebro-geometric aspects), Transcendental methods of algebraic geometry (complex-analytic aspects), Compactification of analytic spaces
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) \textsc{A.~Krishna and J.~Park}, {\em Moving lemma for additive higher {C}how groups}, Algebra Number Theory, 6 (2012), pp.~293--326. DOI 10.2140/ant.2012.6.293; zbl 1263.14012; MR2950155; arxiv 0909.3155 Algebraic cycles, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Carlson, J; Hain, R, Extensions of variations of mixed Hodge structure, Astérisque, 179-180, 39-65, (1989) Transcendental methods, Hodge theory (algebro-geometric aspects), Variation of Hodge structures (algebro-geometric aspects), Homotopy theory and fundamental groups in algebraic geometry, Transcendental methods of algebraic geometry (complex-analytic aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) DOI: 10.1016/0022-4049(92)90015-8 Algebraic cycles, Parametrization (Chow and Hilbert schemes), Singularities in algebraic geometry, Applications of methods of algebraic \(K\)-theory in algebraic geometry
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) de Rham cohomology and algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Fibrations, degenerations in algebraic geometry
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) D. Huybrechts, Lectures on K3 surfaces , preprint, (accessed 28 April 2014). \(K3\) surfaces and Enriques surfaces, (Equivariant) Chow groups and rings; motives, Algebraic cycles
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, de Rham cohomology and algebraic geometry, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Algebraic cycles, Applications of methods of algebraic \(K\)-theory in algebraic geometry
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Y. FUKUMA, On the sectional invariants of polarized manifolds, J. Pure Appl. Alg., 209 (2007), pp. 99-117. Zbl1106.14003 MR2292120 Divisors, linear systems, invertible sheaves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Riemann-Roch theorems, \(3\)-folds, \(4\)-folds, \(n\)-folds (\(n>4\))
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Projective and free modules and ideals in commutative rings, Stability for projective modules, Efficient generation of modules, Algebraic cycles
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Proceedings, conferences, collections, etc. pertaining to number theory, Holomorphic modular forms of integral weight, Algebraic independence; Gel'fond's method, Nonreal zeros of \(\zeta (s)\) and \(L(s, \chi)\); Riemann and other hypotheses, Transcendental methods, Hodge theory (algebro-geometric aspects), \(p\)-adic cohomology, crystalline cohomology, Separable extensions, Galois theory, Inequalities and extremum problems involving convexity in convex geometry, Biographies, obituaries, personalia, bibliographies, Philosophy of mathematics, Proceedings of conferences of miscellaneous specific interest
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Noncommutative algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), \(K\)-theory and homology; cyclic homology and cohomology, Equivariant \(K\)-theory
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Determinants, permanents, traces, other special matrix functions, Equations in general fields, Algebraic cycles, Configuration theorems in linear incidence geometry
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) C. Schoen, Addendum to [72]. Compositio Math. 114 (1998), no. 3, 329-336 (1998) Transcendental methods, Hodge theory (algebro-geometric aspects), Algebraic moduli of abelian varieties, classification, \(4\)-folds, \(n\)-folds (\(n>4\))
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Non-Archimedean analysis, Étale and other Grothendieck topologies and (co)homologies, Mirror symmetry (algebro-geometric aspects), Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Non-Archimedean function theory, Period matrices, variation of Hodge structure; degenerations, Holomorphic bundles and generalizations, Local complex singularities, Transcendental methods, Hodge theory (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Benoist, O., Construction de courbes sur les surfaces K3 (d'après Bogomolov-Hassett-Tschinkel, Charles, Li-Liedtke, Madapusi Pera, Maulik...), Astérisque, 367-368, Exp. No. 1081, viii, 219-253, (2015) Research exposition (monographs, survey articles) pertaining to algebraic geometry, \(K3\) surfaces and Enriques surfaces, Étale and other Grothendieck topologies and (co)homologies, Algebraic cycles, Positive characteristic ground fields in algebraic geometry, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Modular and Shimura varieties
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Transcendental methods, Hodge theory (algebro-geometric aspects), Variation of Hodge structures (algebro-geometric aspects), Period matrices, variation of Hodge structure; degenerations
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Deformations of complex structures, de Rham cohomology and algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Transcendental methods of algebraic geometry (complex-analytic aspects), Classification theorems for complex manifolds
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Kenta Watanabe, A counterexample to a conjecture of complete fan, J. Math. Kyoto Univ. 48 (2008), no. 4, 951 -- 962. Variation of Hodge structures (algebro-geometric aspects), Transcendental methods, Hodge theory (algebro-geometric aspects), Algebraic moduli problems, moduli of vector bundles, Toric varieties, Newton polyhedra, Okounkov bodies
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Green M.L.: The period map for hypersurface sections of high degree of an arbitrary variety. Compositio Math. 55(2), 135--156 (1985) Transcendental methods, Hodge theory (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Algebraic moduli problems, moduli of vector bundles
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Transcendental methods, Hodge theory (algebro-geometric aspects), Families, moduli of curves (algebraic), de Rham theory in global analysis, Lie bialgebras; Lie coalgebras, 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Parametrization (Chow and Hilbert schemes), Algebraic cycles
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Topological \(K\)-theory, Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects), Transcendental methods, Hodge theory (algebro-geometric aspects), Other homology theories in algebraic topology, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Rational homotopy theory
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Yasuhiro Goto, On the Néron-Severi groups of some \?3 surfaces, The arithmetic and geometry of algebraic cycles (Banff, AB, 1998) CRM Proc. Lecture Notes, vol. 24, Amer. Math. Soc., Providence, RI, 2000, pp. 305 -- 328. \(K3\) surfaces and Enriques surfaces, Algebraic cycles, Local ground fields in algebraic geometry
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) [17] Mangolte (F.).-- Surfaces elliptiques réelles et inégalité de Ragsdale-Viro, Math. Z. 235, p. 213-226 (2000) &MR 17 | &Zbl 0961. Topology of real algebraic varieties, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Classical real and complex (co)homology in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Picard groups, Connections (general theory), Transcendental methods, Hodge theory (algebro-geometric aspects), Sheaf cohomology in algebraic topology, Čech types
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Morihiko Saito, Hodge structure via filtered \?-modules, Astérisque 130 (1985), 342 -- 351. Differential systems and singularities (Luminy, 1983). Variation of Hodge structures (algebro-geometric aspects), Transcendental methods, Hodge theory (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Mark E. Walker, Weight zero motivic cohomology and the general linear group of a simplicial ring, J. Pure Appl. Algebra 147 (2000), no. 3, 311 -- 319. \(K\)-theory of schemes, Motivic cohomology; motivic homotopy theory, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Algebraic cycles
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Quick, Torsion algebraic cycles and étale cobordism, Adv. Math. 227 pp 962-- (2011) Algebraic cycles, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Étale cohomology, higher regulators, zeta and \(L\)-functions (\(K\)-theoretic aspects), Bordism and cobordism theories and formal group laws in algebraic topology
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) 10.1090/conm/648/13004 Algebraic cycles, Polylogarithms and relations with \(K\)-theory, Trees, Multiple Dirichlet series and zeta functions and multizeta values
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Kähler manifolds, Transcendental methods, Hodge theory (algebro-geometric aspects), Birational geometry, Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants), Complex cobordism (\(\mathrm{U}\)- and \(\mathrm{SU}\)-cobordism)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Salberger, P.: Torsion cycles of codimension 2 and \ell-adic realizations of motivic cohomology. Séminaire de théorie des nombres 1991--92, 247-277 (1993) Parametrization (Chow and Hilbert schemes), Algebraic cycles, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Generalizations (algebraic spaces, stacks), Divisors, linear systems, invertible sheaves
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Hypersurfaces and algebraic geometry, Rationality questions in algebraic geometry, Rational and unirational varieties, Transcendental methods, Hodge theory (algebro-geometric aspects)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Soulé, C., Hermitian vector bundles on arithmetic varieties, (Algebraic Geometry--Santa Cruz 1995. Algebraic Geometry--Santa Cruz 1995, Proc. Sympos. Pure Math., vol. 62(1), (1997), Amer. Math. Soc.: Amer. Math. Soc. Providence, RI), 383-419 Arithmetic varieties and schemes; Arakelov theory; heights, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Heights, Lattices and convex bodies (number-theoretic aspects), Transcendental methods, Hodge theory (algebro-geometric aspects), Riemann-Roch theorems, Riemann-Roch theorems, Chern characters, Sheaves and cohomology of sections of holomorphic vector bundles, general results, Vanishing theorems, Currents in global analysis
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) [8] Huber (A.) and Kahn (B.).-- The slice filtration and mixed Tate motives, Compositio Math. 142, p.~907-936 (2006). &MR~22 | &Zbl~1105. Motivic cohomology; motivic homotopy theory, Étale and other Grothendieck topologies and (co)homologies, Algebraic cycles, Linear algebraic groups over arbitrary fields
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Applications of methods of algebraic \(K\)-theory in algebraic geometry, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Vanishing theorems in algebraic geometry, Algebraic cycles, Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Multiplicity theory and related topics, Research exposition (monographs, survey articles) pertaining to commutative algebra, Algebraic cycles, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Divisors, linear systems, invertible sheaves, Transcendental methods, Hodge theory (algebro-geometric aspects), de Rham cohomology and algebraic geometry
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) H. Esnault and D. Wan, Hodge type of the exotic cohomology of complete intersections, C. R. Acad. Sci. Paris, Série I, 336 (2003), 153--157. de Rham cohomology and algebraic geometry, Complete intersections, Transcendental methods, Hodge theory (algebro-geometric aspects), Mixed Hodge theory of singular varieties (complex-analytic aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) DOI: 10.1023/B:KTHE.0000018372.76894.25 Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Algebraic cycles
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Research exposition (monographs, survey articles) pertaining to algebraic geometry, Calabi-Yau manifolds (algebro-geometric aspects), Structure of families (Picard-Lefschetz, monodromy, etc.), Transcendental methods, Hodge theory (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Deformations of complex structures
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Bruguières, A.: On a tannakian theorem due to Nori (2004, preprint) (Equivariant) Chow groups and rings; motives, Picard groups, Algebraic cycles, Motivic cohomology; motivic homotopy theory, Picard schemes, higher Jacobians, Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects), Resolutions; derived functors (category-theoretic aspects)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) (Equivariant) Chow groups and rings; motives, Algebraic cycles
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) H. Esnault, Varieties over a finite field with trivial Chow group of \(\(0\)\)-cycles have a rational point. Invent. Math. 151, 187-191 (2003) Algebraic cycles, \(p\)-adic cohomology, crystalline cohomology, Rational points, Finite ground fields in algebraic geometry
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Fulton W.: Intersection Theory. (Ergebnisse der Mathematik und ihrer Grenzgebiete 3), Springer, Berlin 1984 Proceedings of conferences of miscellaneous specific interest, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Cycles and subschemes, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Algebraic cycles, Abelian varieties and schemes
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) R. Hain and S. Zucker, Truncations of mixed Hodge complexes , Hodge Theory (Sant Cugat, 1985), Lecture Notes in Math., vol. 1246, Springer, Berlin, 1987, pp. 107-114. Transcendental methods, Hodge theory (algebro-geometric aspects)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Bakhtary, P, On the cohomology of a simple normal crossings divisor, J. Algebra., 324, 2676-2691, (2010) Transcendental methods, Hodge theory (algebro-geometric aspects)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Pirola, G.P.: Base number theorem for Abelian varieties. Math. Ann.282, 361--368 (1988) Algebraic theory of abelian varieties, Transcendental methods, Hodge theory (algebro-geometric aspects), Jacobians, Prym varieties, Picard groups, Picard schemes, higher Jacobians
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Transcendental methods, Hodge theory (algebro-geometric aspects), Structure of families (Picard-Lefschetz, monodromy, etc.)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Families, moduli of curves (algebraic), Solvable, nilpotent (super)algebras, Transcendental methods, Hodge theory (algebro-geometric aspects), Algebraic moduli of abelian varieties, classification, Geometric group theory, Period matrices, variation of Hodge structure; degenerations, Homology of classifying spaces and characteristic classes in algebraic topology
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Spencer Bloch and Igor Kříž, Mixed Tate motives, Ann. of Math. (2) 140 (1994), no. 3, 557-605. Motivic cohomology; motivic homotopy theory, Transcendental methods, Hodge theory (algebro-geometric aspects), Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Campana, F.: Orbifolds, special varieties and classification theory: an appendix. Ann. Inst. Fourier (Grenoble) \textbf{54}(3), 631-665 (2004) Transcendental methods, Hodge theory (algebro-geometric aspects), Rational and birational maps, \(n\)-folds (\(n>4\)), Compact Kähler manifolds: generalizations, classification, Kähler manifolds, Hyperbolic and Kobayashi hyperbolic manifolds, Classification theorems for complex manifolds
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) DOI: 10.1016/j.jnt.2012.09.023 Algebraic cycles, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Abelian varieties of dimension \(> 1\), Finite ground fields in algebraic geometry, Subvarieties of abelian varieties, Étale and other Grothendieck topologies and (co)homologies
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Transcendental methods, Hodge theory (algebro-geometric aspects), Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Galois representations
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles, Applications of methods of algebraic \(K\)-theory in algebraic geometry
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Lothar Göttsche, Orbifold-Hodge numbers of Hilbert schemes, Parameter spaces (Warsaw, 1994) Banach Center Publ., vol. 36, Polish Acad. Sci. Inst. Math., Warsaw, 1996, pp. 83 -- 87. Parametrization (Chow and Hilbert schemes), Transcendental methods, Hodge theory (algebro-geometric aspects), Group actions on varieties or schemes (quotients)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) A. S. Dubson, Formule pour les cycles évanescents , C. R. Acad. Sci. Paris Sér. I Math. 299 (1984), no. 6, 181-184. Transcendental methods, Hodge theory (algebro-geometric aspects), Classical real and complex (co)homology in algebraic geometry, Local complex singularities, Singularities in algebraic geometry, Local cohomology of analytic spaces, Transcendental methods of algebraic geometry (complex-analytic aspects)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Ulyanov A.P.: Polydiagonal compactification of configuration spaces. J. Alg. Geom. 11, 129--159 (2002) Enumerative problems (combinatorial problems) in algebraic geometry, Enumeration in graph theory, Transcendental methods, Hodge theory (algebro-geometric aspects)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) J. A. de Jong and N. M. Katz, ''Monodromy and the Tate conjecture: Picard numbers and Mordell-Weil ranks in families,'' Israel J. Math., vol. 120, iss. part A, pp. 47-79, 2000. Finite ground fields in algebraic geometry, Algebraic cycles, Étale and other Grothendieck topologies and (co)homologies
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) C. F. Catanese,Footnotes to a Theorem of I. Reider, L.N.M.1417 (1990), 67--74 Surfaces of general type, Algebraic cycles
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) R. Mayer, Coupled contact systems and rigidity of maximal dimensional variations of Hodge structure , Trans. Amer. Math. Soc. 352 (2000), 2121--2144. MR 1624194 JSTOR: Contact systems, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, Transcendental methods, Hodge theory (algebro-geometric aspects), Variation of Hodge structures (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) G. Kempf, L. Ness, \textit{The length of vectors in representation spaces}, in: Algebraic Geometry (Proc. Summer Meeting, Univ. Copenhagen, Copenhagen, 1978), Lecture Notes in Math., vol. 732, Springer, Berlin, 1979, pp. 233-243. Algebraic cycles, Generalizations (algebraic spaces, stacks)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Voisin, C. \textit{Remarks on curve classes on rationally connected varieties.} in ``A celebration of algebraic geometry'', 591--599, Clay Math. Proc., \textbf{18}, Amer. Math. Soc., 2013 Rationally connected varieties, Algebraic cycles, (Co)homology theory in algebraic geometry, Finite ground fields in algebraic geometry
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Applications of methods of algebraic \(K\)-theory in algebraic geometry, (Equivariant) Chow groups and rings; motives
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) (Equivariant) Chow groups and rings; motives, Algebraic cycles, Schemes and morphisms
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) D. L. Ulmer, \(L\)-functions of universal elliptic curves over Igusa curves , Amer. J. Math. 112 (1990), no. 5, 687-712. JSTOR: Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Elliptic curves, Algebraic cycles
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Variation of Hodge structures (algebro-geometric aspects), Transcendental methods, Hodge theory (algebro-geometric aspects), Torelli problem
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) J. A. Carlson and D. Toledo, Variations of Hodge structure, Legendre submanifolds, and accessibility , to appear in Trans. Amer. Math. Soc. JSTOR: Transcendental methods, Hodge theory (algebro-geometric aspects), Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles, Holomorphic symplectic varieties, hyper-Kähler varieties, Families, moduli, classification: algebraic theory, \(K3\) surfaces and Enriques surfaces, Research exposition (monographs, survey articles) pertaining to algebraic geometry
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Barbieri Viale, L.: On the theory of 1-motives. Algebraic Cycles and Motives, London Mathematical Society Lecture Note Series 343, Cambridge University Press, London, 2007. (Proceedings of the workshop on the occasion of the 75th birthday of J.P. Murre--2004, Lorentz Center, Leiden) Algebraic cycles, Motivic cohomology; motivic homotopy theory
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Variation of Hodge structures (algebro-geometric aspects), Transcendental methods, Hodge theory (algebro-geometric aspects), Period matrices, variation of Hodge structure; degenerations, Fibrations, degenerations in algebraic geometry, Divisors, linear systems, invertible sheaves, Abelian varieties and schemes
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) P. Griffiths and L. Tu, Infinitesimal variation of Hodge structure and the generic global Torelli theorem , Topics in transcendental algebraic geometry (Princeton, N.J., 1981/1982) ed. P. A. Griffiths, Ann. of Math. Stud., vol. 106, Princeton Univ. Press, Princeton, NJ, 1984, pp. 227-237. Transcendental methods, Hodge theory (algebro-geometric aspects), Moduli, classification: analytic theory; relations with modular forms, Transcendental methods of algebraic geometry (complex-analytic aspects), Period matrices, variation of Hodge structure; degenerations
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) V.\ G. Berkovich, Vanishing cycles for formal schemes, Invent. Math. 115 (1994), no. 3, 539-571. Étale and other Grothendieck topologies and (co)homologies, (Co)homology theory in algebraic geometry, Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects), Local ground fields in algebraic geometry, Algebraic cycles
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Fu, B, Remarks on hard Lefschetz conjectures on Chow groups, Sci. China Math., 53, 105-114, (2010) Algebraic cycles, (Equivariant) Chow groups and rings; motives, Subvarieties of abelian varieties
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Schürmann, J.; Friedman, H. (ed.); Libgober, M. (ed.), Characteristic classes of mixed hodge modules, No. 58, 419-470, (2011), Cambridge Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Mixed Hodge theory of singular varieties (complex-analytic aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Compactifications; symmetric and spherical varieties, Transcendental methods, Hodge theory (algebro-geometric aspects), Modular and Shimura varieties, Automorphic functions in symmetric domains, Uniformization of complex manifolds
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Schoen, C, On the computation of the cycle class map for nullhomologous cycles over the algebraic closure of a finite field, Ann. Sci.éc. Norm. Supér., 28, 1-50, (1995) Algebraic cycles, Parametrization (Chow and Hilbert schemes), Finite ground fields in algebraic geometry
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) M. Levine, Zero-cycles and \(K\)-theory on singular varieties , Algebraic geometry, Bowdoin, 1985 (Brunswick, Maine, 1985), Proc. Sympos. Pure Math., vol. 46, Amer. Math. Soc., Providence, RI, 1987, pp. 451-462. (Equivariant) Chow groups and rings; motives, Singularities in algebraic geometry, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Algebraic cycles
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