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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Transcendental methods, Hodge theory (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) T. MATSUBARA, On log Hodge structures of higher direct images, Kodai Math. J., 21 (1998), pp. 81-101. Zbl1017.32017 MR1645599 Transcendental methods of algebraic geometry (complex-analytic aspects), Transcendental methods, Hodge theory (algebro-geometric aspects), de Rham cohomology and algebraic geometry
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Transcendental methods, Hodge theory (algebro-geometric aspects), Complex multiplication and abelian varieties
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Arapura, D.: Varieties with very little transcendental cohomology. In: De Jeu, R., Lewis, J. (eds.) Motives and Algebraic Cycles, Fields Institute Communications, American Mathematical Society, Providence (2009) Transcendental methods, Hodge theory (algebro-geometric aspects), Motivic cohomology; motivic homotopy theory
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Picard groups, Algebraic cycles, Finite ground fields in algebraic geometry, \(K3\) surfaces and Enriques surfaces
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles, Period matrices, variation of Hodge structure; degenerations, Variation of Hodge structures (algebro-geometric aspects), Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), (Equivariant) Chow groups and rings; motives, Algebraic cycles
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles, \(K3\) surfaces and Enriques surfaces
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.), Transcendental methods, Hodge theory (algebro-geometric aspects), Lie bialgebras; Lie coalgebras, Topological properties of groups of homeomorphisms or diffeomorphisms, Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Pareschi, G., Popa, M., Schnell, Ch.: Hodge modules on complex tori and generic vanishing for compact Kähler manifolds. arXiv:1505.00635v1 [math.AG] Transcendental methods, Hodge theory (algebro-geometric aspects), Vanishing theorems in algebraic geometry
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Transcendental methods, Hodge theory (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Real algebraic sets, Algebraic cycles
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Künnemann, K., A Lefschetz decomposition for Chow motives of abelian schemes, Invent. Math., 113, 1, 85-102, (1993) Generalizations (algebraic spaces, stacks), Algebraic theory of abelian varieties, Parametrization (Chow and Hilbert schemes), Algebraic cycles
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) (Co)homology theory in algebraic geometry, Generalizations (algebraic spaces, stacks), Algebraic cycles, Singularities of surfaces or higher-dimensional varieties, Curves in algebraic geometry
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Stefan J. Müller-Stach, Algebraic cycle complexes: Basic properties, The arithmetic and geometry of algebraic cycles. Proceedings of the NATO Advanced Study Institute, Banff, Canada, June 7-19, 1998, Kluwer Academic Publishers, 2000, p. 285-305 Algebraic cycles, Applications of methods of algebraic \(K\)-theory in algebraic geometry
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) S. Abdulali: Filtrations on the cohomology of abelian varieties; in The arithmetic and geometry of algebraic cycles (B. Brent Gordon et alii, eds.), CRM Proceedings and Lecture Notes, American Mathematical Society Providence 2000. Étale and other Grothendieck topologies and (co)homologies, Arithmetic ground fields for abelian varieties, Transcendental methods, Hodge theory (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) H. Blaine Lawson Jr. and Marie-Louise Michelsohn, Algebraic cycles and group actions, Differential geometry, Pitman Monogr. Surveys Pure Appl. Math., vol. 52, Longman Sci. Tech., Harlow, 1991, pp. 261 -- 277. Algebraic cycles, Group actions on varieties or schemes (quotients), Parametrization (Chow and Hilbert schemes)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Navarro-Aznar V., Sur la théorie de Hodge des variétés algébriques à singularités isolées, Systèmes Différentiels et Singularités (Luminy 1983), Astérisque 130, Société Mathématique de France, Paris (1985), 272-307. Transcendental methods, Hodge theory (algebro-geometric aspects), de Rham cohomology and algebraic geometry, Singularities in algebraic geometry, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Singularities of surfaces or higher-dimensional varieties
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Scholze, P.: Perfectoid spaces and their applications. In: Proceedings of the International Congress of Mathematicians, August 13-21. Seoul (2014) Rigid analytic geometry, Galois representations, Local ground fields in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Formal groups, \(p\)-divisible groups, Modular and Shimura varieties, Modular and automorphic functions
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) (Equivariant) Chow groups and rings; motives, Quadratic forms over general fields, Algebraic cycles
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Transcendental methods, Hodge theory (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Pseudogroups and differentiable groupoids, Logarithmic algebraic geometry, log schemes
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) (Equivariant) Chow groups and rings; motives, Algebraic cycles, Applications of methods of algebraic \(K\)-theory in algebraic geometry
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Kerr, M.: Exterior products of zero-cycles. J. Reine Angew. Math. 600, 1--23 (2006) Algebraic cycles, (Equivariant) Chow groups and rings; motives, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles, (Equivariant) Chow groups and rings; motives, Finite ground fields in algebraic geometry
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Isogeny, Picard schemes, higher Jacobians, Compact Kähler manifolds: generalizations, classification, Kähler manifolds, Global Riemannian geometry, including pinching, Transcendental methods, Hodge theory (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Motivic cohomology; motivic homotopy theory, Algebraic cycles, Rational and birational maps, Categories in geometry and topology
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Williamson, Geordie, Examples of \(p\)-canonical bases for the anti-spherical module for {\({\mathrm SL}_3\)}, (None) 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) Higher degree equations; Fermat's equation, Complex multiplication and moduli of abelian varieties, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Algebraic cycles
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles, Parametrization (Chow and Hilbert schemes), (Equivariant) Chow groups and rings; motives, Other nonalgebraically closed ground fields in algebraic geometry, Abelian varieties and schemes
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles, Divisors, linear systems, invertible sheaves, \(n\)-folds (\(n>4\))
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Dettweiler, M.; Reiter, S., Rigid local systems and motives of type \(G\)\_{}\{2\}With an appendix by Michale Dettweiler and Nicholas M. Katz., Compos. Math., 146, 929-963, (2010) Arithmetic problems in algebraic geometry; Diophantine geometry, Algebraic cycles, Étale and other Grothendieck topologies and (co)homologies
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) K. Rülling, Erratum to `` The generalized de Rham-Witt complex over a field is a complex of zero-cycles ,'' J. Algebraic Geom. 16 (2007), 793-795. (Equivariant) Chow groups and rings; motives, Algebraic cycles, Applications of methods of algebraic \(K\)-theory in algebraic geometry, de Rham cohomology and algebraic geometry
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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), Families, moduli, classification: algebraic theory
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) S Gorchinskiy, V Guletski, Symmetric powers in stable homotopy categories (Equivariant) Chow groups and rings; motives, Algebraic cycles
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Fakhruddin, N.: On the Chow groups of supersingular varieties. Canad. math. Bull. 45, No. 2, 204-212 (2002) (Equivariant) Chow groups and rings; motives, Algebraic cycles, Abelian varieties and schemes
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Transcendental methods, Hodge theory (algebro-geometric aspects), Jacobians, Prym varieties
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Levine, M.: A survey of algebraic cobordism. Proceedings of the international conference on algebra. Algebra Colloq. 11, 79--90 (2004) Algebraic cycles, Bordism and cobordism theories and formal group laws in algebraic topology, Riemann-Roch theorems, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Г. А. Мустафин, ``Семейства алгебраических многообразий и инвариантные циклы'', Изв. АН СССР. Сер. матем., 49:5 (1985), 948 -- 978 Classical real and complex (co)homology in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Structure of families (Picard-Lefschetz, monodromy, etc.), Algebraic moduli of abelian varieties, classification
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Variation of Hodge structures (algebro-geometric aspects), Families, moduli of curves (algebraic), Transcendental methods, Hodge theory (algebro-geometric aspects), Algebraic topology on manifolds and differential topology, Elliptic curves
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Fano varieties, Complete intersections, Calabi-Yau manifolds (algebro-geometric aspects), Transcendental methods, Hodge theory (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies, Divisors, linear systems, invertible sheaves
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Brauer groups of schemes, Positive characteristic ground fields in algebraic geometry, Algebraic cycles
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Perfectoid spaces and mixed characteristic, Transcendental methods, Hodge theory (algebro-geometric aspects), Rigid analytic geometry, \(p\)-adic cohomology, crystalline cohomology, \(p\)-adic theory, local fields, Research exposition (monographs, survey articles) pertaining to algebraic geometry
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Applications of difference equations, Discrete version of topics in analysis, Additive difference equations, Algebraic theory of abelian varieties, Transcendental methods, Hodge theory (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles, Algebraic theory of abelian varieties
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Cattani, E.; Kaplan, A.; Schmid, W., \(L^2\) and intersection cohomologies for a polarizable variation of Hodge structure, Invent. Math., 87, 217-252, (1987) Transcendental methods, Hodge theory (algebro-geometric aspects), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, (Co)homology theory in algebraic geometry
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Frédéric Mangolte and Joost van Hamel, Algebraic cycles and topology of real Enriques surfaces, Compositio Math. 110 (1998), no. 2, 215 -- 237. Topology of real algebraic varieties, Algebraic cycles, \(K3\) surfaces and Enriques surfaces, Brauer groups of schemes
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Brylinski, J.-L., Zucker, S.: An overview of recent advances in Hodge theory. In: Several Complex Variables VI. Encyclopedia Math. Sci., vol. 69, pp. 39--142. Springer, Berlin (1990) Transcendental methods, Hodge theory (algebro-geometric aspects), Research exposition (monographs, survey articles) pertaining to algebraic geometry, Variation of Hodge structures (algebro-geometric aspects), Mixed Hodge theory of singular varieties (complex-analytic aspects), History of algebraic geometry, Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects), 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), History of mathematics in the 20th century
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Kashiwara, M.: The asymptotic behavior of a variation of polarized Hodge structure. Publ. Res. Inst. Math. Sci. 21(4), 853--875 (1985) Transcendental methods, Hodge theory (algebro-geometric aspects), Transcendental methods of algebraic geometry (complex-analytic aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) DOI: 10.1007/BF01265347 Classical real and complex (co)homology in algebraic geometry, Real algebraic sets, Algebraic cycles
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Yamazaki, T., Brauer-Manin pairing, class field theory and motivic homology Galois cohomology, Algebraic cycles, Motivic cohomology; motivic homotopy theory, Local ground fields in algebraic geometry
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) --------, Chow rings and decomposition theorems for \(K3\) surfaces and Calabi-Yau hypersurfaces, Geom. Topol. 16 (2012), 433--473. (Equivariant) Chow groups and rings; motives, Transcendental methods, Hodge theory (algebro-geometric aspects), Families, fibrations in algebraic geometry
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles, Picard schemes, higher Jacobians
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Totaro, Burt, On the integral Hodge and Tate conjectures over a number field, Forum Math. Sigma, 2050-5094, 1, e4, 13 pp. pp., (2013) Transcendental methods, Hodge theory (algebro-geometric aspects), Galois representations
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Campana, F.: Special Varieties and Classification Theory. In preparation Families, moduli, classification: algebraic theory, Transcendental methods, Hodge theory (algebro-geometric aspects), Minimal model program (Mori theory, extremal rays), Rational points, \(n\)-folds (\(n>4\)), Fibrations, degenerations in algebraic geometry
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Proceedings, conferences, collections, etc. pertaining to differential geometry, Global differential geometry of Hermitian and Kählerian manifolds, Lagrangian submanifolds; Maslov index, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Applications of methods of algebraic \(K\)-theory in algebraic geometry, Arithmetic varieties and schemes; Arakelov theory; heights, Proceedings of conferences of miscellaneous specific interest
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Families, moduli of curves (algebraic), Enumerative problems (combinatorial problems) in algebraic geometry, Algebraic cycles
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) [I3] Iarrobino, A.: Hilbert Scheme of Points: Overview of Last Ten Years. Proc. of Symp. in Pure Math. Vol.46 Part 2, Algebraic Geometry, Bowdoin 1987, 297--320 Parametrization (Chow and Hilbert schemes), Algebraic cycles, History of algebraic geometry, History of mathematics in the 20th century
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Algebraic cycles
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Peternell, T.: Submanifolds with Ample Normal Bundles and a Conjecture of Hartshorne, Interactions of Classical and Numerical Algebraic Geometry, Contemporary Mathematics, vol. 496, pp. 317-330. American Mathematical Society, Providence (2009) (Equivariant) Chow groups and rings; motives, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Complex-analytic moduli problems
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Motivic cohomology; motivic homotopy theory, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Stable homotopy theory, spectra, Homotopy groups of spheres, Algebraic cycles
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) S. S. Roan, ''The mirror of Calabi-Yau orbifolds,''Int. J. Math., (4), No. 2, 439--455 (1991). \(3\)-folds, Transcendental methods, Hodge theory (algebro-geometric aspects), Period matrices, variation of Hodge structure; degenerations, Variation of Hodge structures (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles, Parametrization (Chow and Hilbert schemes), Grothendieck groups (category-theoretic aspects)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Yu. G. Zarhin, The Tate conjecture for powers of ordinary \(K3\) surfaces over finite fields , in preparation. Algebraic cycles, Finite ground fields in algebraic geometry, \(K3\) surfaces and Enriques surfaces
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Spieß, Michael; Szamuely, Tamás, On the Albanese map for smooth quasi-projective varieties, Math. Ann., 325, 1, 1-17, (2003) Motivic cohomology; motivic homotopy theory, Algebraic cycles, Geometric class field theory
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Krishna, A, Equivariant cobordism of schemes, Doc. Math., 17, 95-134, (2012) Algebraic cycles, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Relationships between algebraic curves and integrable systems, Transcendental methods, Hodge theory (algebro-geometric aspects), Vector bundles on curves and their moduli, Character varieties, Local cohomology of analytic spaces, Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation), Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Huybrechts, D., On derived categories of K3 surfaces, symplectic automorphisms and the Conway group, Adv. Stud. Pure Math., 69, 387-405, (2016) \(K3\) surfaces and Enriques surfaces, Transcendental methods, Hodge theory (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Transcendental methods, Hodge theory (algebro-geometric aspects), Torelli problem, Singularities of curves, local rings, Period matrices, variation of Hodge structure; degenerations, Variation of Hodge structures (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Wintenberger, Jean-Pierre, Propriétés du groupe tannakien des structures de Hodge \(p\)-adiques et torseur entre cohomologies cristalline et étale, Ann. Inst. Fourier (Grenoble), 0373-0956, 47, 5, 1289-1334, (1997) \(p\)-adic cohomology, crystalline cohomology, Relations of \(K\)-theory with cohomology theories, Étale and other Grothendieck topologies and (co)homologies, Galois cohomology, Transcendental methods, Hodge theory (algebro-geometric aspects), Local ground fields in algebraic geometry
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Donaldson, S.K.: Connections, cohomology and the intersection forms of 4-manifolds, Preprint (1985) Connections (general theory), Index theory and related fixed-point theorems on manifolds, Specialized structures on manifolds (spin manifolds, framed manifolds, etc.), Transcendental methods, Hodge theory (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Catanese, F, Moduli and classification of irregular Kähler manifolds (and algebraic varieties) with Albanese general type fibrations, Invent. Math., 104, 263-289, (1991) Compact Kähler manifolds: generalizations, classification, Complex-analytic moduli problems, Transcendental methods, Hodge theory (algebro-geometric aspects), Global differential geometry of Hermitian and Kählerian manifolds, Algebraic moduli problems, moduli of vector bundles, Moduli, classification: analytic theory; relations with modular forms
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Hypersurfaces and algebraic geometry, Arithmetic ground fields for surfaces or higher-dimensional varieties, Algebraic cycles
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) F. Loeser, Une estimation asymptotique du nombre de solutions approchées d'une équation \?-adique, Invent. Math. 85 (1986), no. 1, 31 -- 38 (French). Zeta functions and \(L\)-functions, Local ground fields in algebraic geometry, Equations in general fields, Asymptotic results on arithmetic functions, Transcendental methods, Hodge theory (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Gubler, Walter, Höhentheorie, Math. Ann., 298, 3, 427-455, (1994) Arithmetic varieties and schemes; Arakelov theory; heights, Arithmetic ground fields for abelian varieties, Algebraic cycles, Arithmetic algebraic geometry (Diophantine geometry)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Joe Harris & Loring W. Tu, ``On symmetric and skew-symmetric determinantal varieties'', Topology23 (1984) no. 1, p. 71-84 Sphere bundles and vector bundles in algebraic topology, Determinantal varieties, Characteristic classes and numbers in differential topology, Transcendental methods, Hodge theory (algebro-geometric aspects), Families, moduli of curves (algebraic)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Grassmannians, Schubert varieties, flag manifolds, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Geometric Langlands program (algebro-geometric aspects), Fibrations, degenerations in algebraic geometry, Group schemes, Algebraic cycles, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Patrikis, S., Mumford-Tate groups of polarizable Hodge structures, Proc. Amer. Math. Soc., 144, 9, 3717-3729, (2016) 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) Variation of Hodge structures (algebro-geometric aspects), Transcendental methods, Hodge theory (algebro-geometric aspects), Period matrices, variation of Hodge structure; degenerations
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Vishik, A., \textit{symmetric operations in algebraic cobordism}, Adv. Math., 213, 489-552, (2007) 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) Wojtkowiak, Z.: Mixed Hodge structures and iterated integrals I. Motives, polylogarithms and Hodge theory (I), 121-208 (2002) Variation of Hodge structures (algebro-geometric aspects), Étale cohomology, higher regulators, zeta and \(L\)-functions (\(K\)-theoretic aspects), Polylogarithms and relations with \(K\)-theory, Other functions defined by series and integrals, Transcendental methods, Hodge theory (algebro-geometric aspects), Transcendental methods of algebraic geometry (complex-analytic aspects)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Luc, Illusie, Autour du théorème de monodromie locale, Astérisque, 223, 9-57, (1994), Périodes \textit{p}-adiques (Bures-sur-Yvette, 1988) Étale and other Grothendieck topologies and (co)homologies, Local ground fields in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Deformations of complex structures, Non-Archimedean analysis, Variation of Hodge structures (algebro-geometric aspects), Varieties over finite and local fields
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) J. H. M. STEENBRINK, Logarithmic embeddings of varieties with normal crossings and mixed Hodge structures, Math. Ann., 301 (1995), pp. 105-118. Zbl0814.14010 MR1312571 Variation of Hodge structures (algebro-geometric aspects), Embeddings in algebraic geometry, (Co)homology theory in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Wittenberg, O.\!, On Albanese torsors and the elementary obstruction, Math. Ann., 340, 4, 805-838, (2008) Rational points, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Global ground fields in algebraic geometry, Picard groups, Algebraic cycles, Picard schemes, higher Jacobians
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Catanese, F.; Dettweiler, M., \textit{answer to a question by Fujita on variation of Hodge structures}, Higher Dimensional Algebraic Geometry: In Honor of Professor Yujiro Kawamata's 60th Birthday, vol. 74, 73-102, (2017), Kinokuniya, Tokyo Variation of Hodge structures (algebro-geometric aspects), Transcendental methods, Hodge theory (algebro-geometric aspects), Period matrices, variation of Hodge structure; degenerations, Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Reza Akhtar, Milnor \?-theory of smooth varieties, \?-Theory 32 (2004), no. 3, 269 -- 291. Higher symbols, Milnor \(K\)-theory, (Equivariant) Chow groups and rings; motives, Algebraic cycles
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Clozel, L., Equivalence numérique et équivalence cohomologique pour LES variétés abéliennes sur LES corps finis, Ann. of Math. (2), 150, 151-163, (1999) Arithmetic ground fields for abelian varieties, Algebraic cycles, Étale and other Grothendieck topologies and (co)homologies, Finite ground fields in algebraic geometry
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Zainoulline K., Twisted gamma filtration of a linear algebraic group, Compos. Math., 2012, 148(5), 1645--1654 Algebraic cycles, Linear algebraic groups over arbitrary fields, Group actions on varieties or schemes (quotients)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Demailly, J.P.: Holomorphic Morse inequalities and the Green-Griffiths-Lang conjecture. Pure Appl. Math. Q. \textbf{7}(4, Special Issue: In memory of Eckart Viehweg), 1165-1207 (2011). https://doi.org/10.4310/PAMQ.2011.v7.n4.a6 Vanishing theorems, Transcendental methods, Hodge theory (algebro-geometric aspects), Hyperbolic and Kobayashi hyperbolic manifolds
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) S. Usui, ''Variation of mixed Hodge structure arising from family of logarithmic deformations. II: Classifying space,'' Duke Math. J., vol. 51, iss. 4, pp. 851-875, 1984. Transcendental methods, Hodge theory (algebro-geometric aspects), Period matrices, variation of Hodge structure; degenerations
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Transcendental methods, Hodge theory (algebro-geometric aspects), Compact Kähler manifolds: generalizations, classification
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Jean-Benoît Bost, Semi-stability and heights of cycles, Invent. Math. 118 (1994), no. 2, 223 -- 253. Arithmetic varieties and schemes; Arakelov theory; heights, Algebraic cycles, Algebraic moduli problems, moduli of vector bundles, Global ground fields in algebraic geometry
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles, Algebraic moduli problems, moduli of vector bundles
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) O. Haution, Invariants of upper motives, Doc. Math. 18 (2013), 1555-1572. Algebraic cycles, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) cho K. Cho, A generalization of Kita and Noumi's vanishing theorems of cohomology groups of local system. Nagoya Math. J. \textbf 147 (1997), 63-69. Vanishing theorems, Vanishing theorems in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Davison, Ben; Maulik, Davesh; Schürmann, Jörg; Szendrői, Balázs, Purity for graded potentials and quantum cluster positivity, Compositio Mathematica, 151, 1913-1944, (2015) Transcendental methods, Hodge theory (algebro-geometric aspects), Cluster algebras, Mixed Hodge theory of singular varieties (complex-analytic aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) (Equivariant) Chow groups and rings; motives, Algebraic cycles, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Riemann-Roch theorems, Research exposition (monographs, survey articles) pertaining to algebraic geometry
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Hasse principle, weak and strong approximation, Brauer-Manin obstruction, Brauer groups of schemes, Rational points, Algebraic cycles, Varieties over global fields
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Divisors, linear systems, invertible sheaves, Algebraic cycles, Transcendental methods of algebraic geometry (complex-analytic aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies)
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