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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) J. Colliot-Thélène, ''The Hasse principle in a pencil of algebraic varieties,'' in Number Theory, Providence, RI: Amer. Math. Soc., 1998, vol. 210, pp. 19-39. Global ground fields in algebraic geometry, Arithmetic ground fields (finite, local, global) and families or fibrations, Rational points, Varieties over global fields, Algebraic cycles
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Yuichiro Takeda, Higher arithmetic \?-theory, Publ. Res. Inst. Math. Sci. 41 (2005), no. 3, 599 -- 681. Arithmetic varieties and schemes; Arakelov theory; heights, \(K\)-theory of schemes, Algebraic cycles
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Galois representations, Transcendental methods, Hodge theory (algebro-geometric aspects), Local ground fields in algebraic geometry, \(p\)-adic cohomology, crystalline cohomology
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Popa M. , 'Derived equivalences of smooth stacks and orbifold Hodge numbers', Preprint, 2013, arXiv:1306.2075 [math.AG]. Transcendental methods, Hodge theory (algebro-geometric aspects), Picard schemes, higher Jacobians, Generalizations (algebraic spaces, stacks)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Jacobians, Prym varieties, Families, moduli of curves (analytic), Theta functions and abelian varieties, Transcendental methods, Hodge theory (algebro-geometric aspects), Algebraic moduli problems, moduli of vector bundles, Partial differential equations of mathematical physics and other areas of application, Families, moduli of curves (algebraic)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Totaro, B., Tensor products in \textit{p}-adic Hodge theory, Duke Mathematical Journal, 83, 1, 79-104, (1996) \(p\)-adic cohomology, crystalline cohomology, Transcendental methods, Hodge theory (algebro-geometric aspects), Local ground fields in algebraic geometry
| 0
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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), Mixed Hodge theory of singular varieties (complex-analytic aspects)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Zhykhovich, M., \textit{decompositions of motives of generalized Severi-Brauer varieties}, Doc. Math., 17, 151-165, (2012) Affine algebraic groups, hyperalgebra constructions, Algebraic cycles
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Étale and other Grothendieck topologies and (co)homologies, Algebraic cycles, Grothendieck topologies and Grothendieck topoi, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Fumio Hazama, ''Algebraic cycles on certain abelian varieties and powers of special surfaces'', J. Fac. Sci. Univ. Tokyo Sect. IA Math.31 (1985) no. 3, p. 487-520 Transcendental methods, Hodge theory (algebro-geometric aspects), Algebraic theory of abelian varieties, Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Cycles and subschemes, Special surfaces
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) S. E. Landsburg, ''Relative Chow groups,'' Illinois J. Math., vol. 35, iss. 4, pp. 618-641, 1991. \(K\)-theory of schemes, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Applications of methods of algebraic \(K\)-theory in algebraic geometry, Algebraic cycles
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Suwa, Noriyuki: Hodge-Witt cohomology of complete intersections. J. math. Soc. of Japan 45, 295-300 (1993) \(p\)-adic cohomology, crystalline cohomology, Complete intersections, 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) Asakura, M., Saito, S.: Beilinson's Hodge conjecture with coefficients. In: Nagel, J., Peters, C. (eds.) Algebraic Cycles and Motives. LNS, vol. 344, pp. 3-37. London Mathematical Society, London (2007) (Equivariant) Chow groups and rings; motives, Motivic cohomology; motivic homotopy theory, Algebraic cycles
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Saito, M.: Hodge filtrations on Gauss-Manin systems. I. J. Fac. Sci. Univ. Tokyo, Sect. IA30, 489-498 (1984) Transcendental methods of algebraic geometry (complex-analytic aspects), Transcendental methods, Hodge theory (algebro-geometric aspects), Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Differentiable functions on analytic spaces, differentiable spaces
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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) Variation of Hodge structures (algebro-geometric aspects), Transcendental methods, Hodge theory (algebro-geometric aspects), Modular and Shimura varieties
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Boyer, CP; Lawson, HB; Lima-Filho, P; Mann, B; Michelson, M-L, Algebraic cycles and infinite loop spaces, Invent. Math., 113, 373-388, (1993) Infinite loop spaces, Topological \(K\)-theory, Algebraic cycles, Parametrization (Chow and Hilbert schemes)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles, Algebraic theory of abelian varieties
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Mavlyutov A.: Semiample hypersurfaces in toric varieties. Duke Math. J. 101, 85--116 (2000) Toric varieties, Newton polyhedra, Okounkov bodies, Transcendental methods, Hodge theory (algebro-geometric aspects)
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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) Arithmetic varieties and schemes; Arakelov theory; heights, Transcendental methods, Hodge theory (algebro-geometric aspects), \(p\)-adic cohomology, crystalline cohomology, Heights
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles, Formal neighborhoods in algebraic geometry, Divisors, linear systems, invertible sheaves
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) S. Zucker, Intermediate Jacobians and normal functions , Topics in Transcendental Algebraic Geometry (Princeton, N.J., 1981/1982), Ann. of Math. Stud., vol. 106, Princeton University Press, Princeton, NJ, 1984, pp. 259-267. Transcendental methods, Hodge theory (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Transcendental methods of algebraic geometry (complex-analytic aspects), Picard schemes, higher Jacobians
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Merkurjev, A, Unramified elements in cycle modules, J. Lond. Math. Soc., 78, 51-64, (2008) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Algebraic cycles, Rational and birational maps
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Special surfaces, Transcendental methods, Hodge theory (algebro-geometric aspects), Period matrices, variation of Hodge structure; degenerations, Moduli, classification: analytic theory; relations with modular forms, Compact complex surfaces
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) С. Г. Танкеев, ``О стандартной гипотезе типа Лефшеца для комплексных проективных трехмерных многообразий'', Изв. РАН. Сер. матем., 74:1 (2010), 175 -- 196 Algebraic cycles, Classical real and complex (co)homology in algebraic geometry, \(3\)-folds
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Y. André, Motifs de dimension finie (d'après S.-I. Kimura, P. O'Sullivan, {\dots}), Astérisque 299 (2005), viii, 115--145, Séminaire Bourbaki 2003/2004, no. 929. (Equivariant) Chow groups and rings; motives, Algebraic cycles, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Motivic cohomology; motivic homotopy theory
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles, \(K\)-theory of schemes
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Transcendental methods, Hodge theory (algebro-geometric aspects), Positive characteristic ground fields in algebraic geometry, Varieties and morphisms
| 0
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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), Algebraic cycles
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Families, moduli of curves (algebraic), Projective techniques in algebraic geometry, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Algebraic cycles
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) David Lubicz, Une description de la cohomologie du complément à un diviseur non réductible de \?², Bull. Sci. Math. 124 (2000), no. 6, 447 -- 458 (French). de Rham cohomology and algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Classical real and complex (co)homology in algebraic geometry
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Holomorphic symplectic varieties, hyper-Kähler varieties, (Equivariant) Chow groups and rings; motives, Algebraic cycles, \(4\)-folds
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles, (Equivariant) Chow groups and rings; motives
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Gennaro, V; Franco, D, Factoriality and Néron-Severi groups, Commun. Contemp. Math., 10, 745-764, (2008) Singularities in algebraic geometry, Deformations of singularities, Algebraic cycles, Structure of families (Picard-Lefschetz, monodromy, etc.), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Complete intersections, Milnor fibration; relations with knot theory
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Schoen, C., Zero cycles modulo rational equivalence for some varieties over fields of transcendence degree one, Proc. Symp. Pure Math. 46 (1987), part 2, pp. 463-473. Algebraic cycles, (Equivariant) Chow groups and rings; motives, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Arithmetic theory of algebraic function fields
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) [3] --, `` Hodge cycles on abelian varieties of \(S_n\)-type {'', \(J. Algebraic Geom.\)9 (2000), no. 4, p. 711-753. &MR 17} Transcendental methods, Hodge theory (algebro-geometric aspects), Subvarieties of abelian varieties, Complex multiplication and abelian varieties, Arrangements of points, flats, hyperplanes (aspects of discrete geometry)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Libgober, A., Homotopy groups of complements to ample divisors, arXiv: math.AG/0404341, to appear in Proceedings of 12th MSJ-IRI symposium ``Singularity theory and its applications'' Hokkaido Univerisity. Homotopy theory and fundamental groups in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Milnor fibration; relations with knot theory, Relations with arrangements of hyperplanes, Mixed Hodge theory of singular varieties (complex-analytic aspects)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Ottem, John Christian, On subvarieties with ample normal bundle, J. Eur. Math. Soc. (JEMS), 18, 11, 2459-2468, (2016) Algebraic cycles, Embeddings in algebraic geometry
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Gille, S, A graded Gersten-Witt complex for schemes with a dualizing complex and the Chow group, J. Pure Appl. Algebr., 208, 391-419, (2007) Witt groups of rings, Algebraic cycles
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Muñoz, R; Occhetta, G; Solá Conde, LE, Rational curves, Dynkin diagrams and Fano manifolds with nef tangent bundle, Math. Ann., 361, 583-609, (2015) Grassmannians, Schubert varieties, flag manifolds, Minimal model program (Mori theory, extremal rays), Fano varieties, Algebraic cycles
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) \auE. Viehweg and K. Zuo, Numerical bounds for semi-stable families of curves or of certain higher dimensional manifolds, \tiJ. Algebraic Geom., , 15 ( (2006),)\spg771-\epg791. Families, moduli, classification: algebraic theory, Families, moduli of curves (algebraic), Transcendental methods, Hodge theory (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Research exposition (monographs, survey articles) pertaining to algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Fibrations, degenerations in algebraic geometry, Surfaces of general type
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) doi:10.3792/pjaa.86.107 Transcendental methods, Hodge theory (algebro-geometric aspects), Variation of Hodge structures (algebro-geometric aspects), Period matrices, variation of Hodge structure; degenerations
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Alexander Merkurjev, \?-equivalence on three-dimensional tori and zero-cycles, Algebra Number Theory 2 (2008), no. 1, 69 -- 89. Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Algebraic cycles
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Arithmetic varieties and schemes; Arakelov theory; heights, Varieties over global fields, Algebraic cycles
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Richard M. Hain, Algebraic cycles and extensions of variations of mixed Hodge structure, Complex geometry and Lie theory (Sundance, UT, 1989) Proc. Sympos. Pure Math., vol. 53, Amer. Math. Soc., Providence, RI, 1991, pp. 175 -- 221. Transcendental methods, Hodge theory (algebro-geometric aspects), Variation of Hodge structures (algebro-geometric aspects), Generalizations (algebraic spaces, stacks), Applications of methods of algebraic \(K\)-theory in algebraic geometry, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Relations of \(K\)-theory with cohomology theories
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) [Kon] Konno, K.: On deformations and the local Torelli problem of cyclic branched coverings. Math. Ann.271, 601-617 (1985) Coverings in algebraic geometry, Period matrices, variation of Hodge structure; degenerations, Transcendental methods, Hodge theory (algebro-geometric aspects), Ramification problems in algebraic geometry, Jacobians, Prym varieties, Formal methods and deformations in algebraic geometry
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Compact Kähler manifolds: generalizations, classification, Algebraic cycles, Integration on analytic sets and spaces, currents
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Chin-Lung Wang, \( K\)-equivalence in birational geometry, arXiv.org preprint math.AG/0204160, 2002. Transcendental methods, Hodge theory (algebro-geometric aspects), Rational and birational maps
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Saito, M., \textit{mixed Hodge complexes on algebraic varieties}, Math. Ann., 316, 283-331, (2000) Transcendental methods, Hodge theory (algebro-geometric aspects), Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Variation of Hodge structures (algebro-geometric aspects), Sheaves of differential operators and their modules, \(D\)-modules
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) D. Chéniot, Vanishing cycles in a pencil of hyperplane sections of a non-singular quasi-projective variety, Proc. London Math. Soc. (3) 72 (1996), no. 3, 515 -- 544. Algebraic cycles, Pencils, nets, webs in algebraic geometry, Hypersurfaces and algebraic geometry
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Transcendental methods, Hodge theory (algebro-geometric aspects), Hypersurfaces and algebraic geometry, Fano varieties, Calabi-Yau manifolds (algebro-geometric aspects), Complete intersections, Grassmannians, Schubert varieties, flag manifolds
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) M. Green, Koszul cohomology and the cohomology of projective varieties, J. Differential Geom. 19 (1984), 125-171. (Co)homology theory in algebraic geometry, Analytic sheaves and cohomology groups, Complex manifolds, Sheaves and cohomology of sections of holomorphic vector bundles, general results, Transcendental methods, Hodge theory (algebro-geometric aspects), Vanishing theorems
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Transcendental methods, Hodge theory (algebro-geometric aspects), Subvarieties of abelian varieties, Modular and Shimura varieties
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Demailly, J. P., Extension of holomorphic functions defined on non reduced analytic subvarieties, The Legacy of Bernhard Riemann after One Hundred and Fifty Years, I, 191-222, (2016) Transcendental methods, Hodge theory (algebro-geometric aspects), Analytic sheaves and cohomology groups
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Deligne, P., Décompositions dans la catégorie dérivée, (Décompositions dans la catégorie dérivée, motives, Seattle, WA, 1991, Proc. Symp. Pure Math., vol. 55, (1994), Amer. Math. Soc. Providence, RI), 115-128, Part 1 Algebraic cycles, \(p\)-adic cohomology, crystalline cohomology, Spectral sequences, hypercohomology
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Transcendental methods, Hodge theory (algebro-geometric aspects), Torelli problem, Variation of Hodge structures (algebro-geometric aspects), Period matrices, variation of Hodge structure; degenerations, Mixed Hodge theory of singular varieties (complex-analytic aspects), Algebraic moduli problems, moduli of vector bundles, Jacobians, Prym varieties
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) REIDER, I.: On the Infinitesimal Torelli Theorem for Certrain Irregular Surfaces of general type (to appear in Mat. Ann.) Transcendental methods, Hodge theory (algebro-geometric aspects), Formal methods and deformations in algebraic geometry, Surfaces of general type, Special surfaces
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) A. Kouvidakis, G. van der Geer, A note on Fano surfaces of nodal cubic threefolds, in \(Algebraic and Arithmetic Structures of Moduli Spaces, Sapporo 2007\), Advanced Studies in Pure Mathematics, vol. 58 (Mathematical Society of Japan, Tokyo, 2010), pp. 27-45 Fano varieties, \(3\)-folds, Algebraic cycles, Picard schemes, higher Jacobians
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Jannsen, U.; Nagel, J.; Peters, C., On finite-dimensional motives and murre's conjecture, \textit{Algebraic Cycles and Motives}, (2007), Cambridge University Press, Cambridge (Equivariant) Chow groups and rings; motives, Algebraic cycles, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Transcendental methods, Hodge theory (algebro-geometric aspects)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Transcendental methods, Hodge theory (algebro-geometric aspects), Singularities in algebraic geometry, Local complex singularities, de Rham cohomology and algebraic geometry, Mixed Hodge theory of singular varieties (complex-analytic aspects), Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) [BB] E. BALLICO, M. BELTRAMETTI, ''On 2-spannedness for the adjunction mapping'',Manuscripta Math., 61 (1988), 447--458 Algebraic cycles
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Jyh-Haur Teh, A homology and cohomology theory for real projective varieties, preprint in Arxiv.org, math.AG/0508238. Algebraic cycles, Topology of real algebraic varieties, Other homology theories in algebraic topology
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Friedrich Ischebeck and Heinz-Werner Schülting, Rational and homological equivalence for real cycles, Invent. Math. 94 (1988), no. 2, 307 -- 316. (Equivariant) Chow groups and rings; motives, Real algebraic and real-analytic geometry, Algebraic cycles, Classical real and complex (co)homology in algebraic geometry
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Complex multiplication and moduli of abelian varieties, (Equivariant) Chow groups and rings; motives, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Transcendental methods, Hodge theory (algebro-geometric aspects)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Transcendental methods, Hodge theory (algebro-geometric aspects), Torelli problem, Variation of Hodge structures (algebro-geometric aspects), Hypersurfaces and algebraic geometry
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Marc Levine, Homology of algebraic varieties: an introduction to the works of Suslin and Voevodsky, Bull. Amer. Math. Soc. (N.S.) 34 (1997), no. 3, 293 -- 312. Research exposition (monographs, survey articles) pertaining to \(K\)-theory, Algebraic cycles, \(K\)-theory of schemes, Relations of \(K\)-theory with cohomology theories, Étale and other Grothendieck topologies and (co)homologies, Grothendieck topologies and Grothendieck topoi, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles, Brauer groups (algebraic aspects), Group rings of finite groups and their modules (group-theoretic aspects)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Spectra with additional structure (\(E_\infty\), \(A_\infty\), ring spectra, etc.), Algebraic cycles, Topological \(K\)-theory
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) R.Y. Donagi and D. Gaitsgory, \textit{The gerbe of Higgs bundles}, \textit{Transform. Groups}\textbf{7} (2002) 109 [math.AG/0005132] [INSPIRE]. Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Transcendental methods, Hodge theory (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) A. N. Tyurin, Special \(0\)-cycles on a polarized surface of type \(K3\) , Izv. Akad. Nauk SSSR Ser. Mat. 51 (1987), no. 1, 131-151, 208. \(K3\) surfaces and Enriques surfaces, Special surfaces, Algebraic cycles, Projective techniques in algebraic geometry
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) P. Salberger, On the arithmetic of conic bundle surfaces , Séminaire de Théorie des Nombres, Paris 1985-86, Progr. Math., vol. 71, Birkhäuser Boston, Boston, MA, 1987, pp. 175-197. Rational and ruled surfaces, Algebraic cycles, Arithmetic ground fields for surfaces or higher-dimensional varieties, Rational and unirational varieties, Arithmetic problems in algebraic geometry; Diophantine geometry
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) DOI: 10.2140/ant.2013.7.533 Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), \(p\)-adic cohomology, crystalline cohomology, Étale cohomology, higher regulators, zeta and \(L\)-functions (\(K\)-theoretic aspects), (Equivariant) Chow groups and rings; motives, de Rham cohomology and algebraic geometry, Algebraic cycles
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Schreieder, S, On the construction problem for Hodge numbers, Geom. Topol., 19, 295-342, (2015) Kähler manifolds, Transcendental methods, Hodge theory (algebro-geometric aspects)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Victor V. Batyrev and Dimitrios I. Dais. Strong McKay correspondence, string-theoretic Hodge numbers and mirror symmetry. \(Topology\), 35(4):901-929, 1996. Calabi-Yau manifolds (algebro-geometric aspects), (Co)homology theory in algebraic geometry, Variation of Hodge structures (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Transcendental methods, Hodge theory (algebro-geometric aspects), Homological methods in Lie (super)algebras
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) R. Parimala , Study of quadratic forms-some connections with geometry . Proc. of the Int. Cong. of Mathematicians , Vol. 1 , 2 ( Zürich , 1994 ), 324 - 332 , Birkhäuser , Basel , 1995 . MR 1403933 | Zbl 0851.11025 Quadratic spaces; Clifford algebras, Algebraic theory of quadratic forms; Witt groups and rings, Algebraic cycles, Étale and other Grothendieck topologies and (co)homologies
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Beilinson, A. A.; Bernstein, J.; Deligne, P., Faisceaux pervers, Astérisque, 100, (1982) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects), Research exposition (monographs, survey articles) pertaining to algebraic geometry, Finite ground fields in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Dinh, T. -C.; Nguyen, V. -A., The mixed Hodge-Riemann bilinear relations for compact Kähler manifolds, Geom. Funct. Anal., 16, 838-849, (2006) Kähler manifolds, Transcendental methods, Hodge theory (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Yin, Q., The generic nontriviality of the Faber-pandharipande cycle, Int. Math. Res. Not., (2013), rnt252 Algebraic cycles, Fibrations, degenerations in algebraic geometry, Jacobians, Prym varieties
| 0
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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)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Bleier, T.: Excess porteous, coherent porteous, and the hyperelliptic locus in m\bar{}3. Mich. math. J. 61, No. 2, 359-383 (2012) Families, moduli of curves (algebraic), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Algebraic cycles
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Proceedings of conferences of miscellaneous specific interest, Festschriften, Transcendental methods, Hodge theory (algebro-geometric aspects), Fine and coarse moduli spaces, Special algebraic curves and curves of low genus, \(K3\) surfaces and Enriques surfaces, Algebraic moduli of abelian varieties, classification, Classical problems, Schubert calculus, Configurations and arrangements of linear subspaces
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Maakestad, H. ø.: Algebraic connections on projective modules with prescribed curvature. J. algebra 436 (2015) 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
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Arapura, D; Bakhtary, P; Włodarczyk, J, Weights on cohomology, invariants of singularities, and dual complexes, Math. Ann., 357, 513-550, (2013) Classical real and complex (co)homology in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Topological properties in algebraic geometry, Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Transcendental methods of algebraic geometry (complex-analytic aspects), Transcendental methods, Hodge theory (algebro-geometric aspects), Stacks and moduli problems
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) D. Eklund, Curves on Heisenberg invariant quartic surfaces in projective 3-space, arXiv:1010.4058v2. (Equivariant) Chow groups and rings; motives, Algebraic cycles, 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) Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to number theory, Arithmetic algebraic geometry (Diophantine geometry), de Rham cohomology and algebraic geometry, Motivic cohomology; motivic homotopy theory, Transcendental methods, Hodge theory (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Kahn, Bruno, Algebraic \(K\)-theory, algebraic cycles and arithmetic geometry.Handbook of \(K\)-theory. Vol. 1, 2, 351-428, (2005), Springer, Berlin Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Algebraic cycles
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) R. Crew, On torsion in the slope spectral sequence , Compositio Math. 56 (1985), no. 1, 79-86. \(p\)-adic cohomology, crystalline cohomology, Transcendental methods, Hodge theory (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Analytic subsets of affine space, Holomorphically convex complex spaces, reduction theory, Proper holomorphic mappings, finiteness theorems, Transcendental methods of algebraic geometry (complex-analytic aspects), Stein spaces, Coverings in algebraic geometry, Generalizations (algebraic spaces, stacks), Transcendental methods, Hodge theory (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Dubson, Alberto S., Formule pour l'indice des complexes constructibles et des modules holonomes, C. R. acad. sci. Paris Sér. I math., 298, 6, 113-116, (1984) de Rham cohomology and algebraic geometry, Sheaves of differential operators and their modules, \(D\)-modules, Algebraic cycles
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Curves in algebraic geometry, Analytic theory of abelian varieties; abelian integrals and differentials, Riemann surfaces, Embedding theorems for complex manifolds, Transcendental methods, Hodge theory (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)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Barbieri-Viale, L.; Kahn, B.: On the derived category of 1-motives Algebraic cycles
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Automorphisms of surfaces and higher-dimensional varieties, Structure of families (Picard-Lefschetz, monodromy, etc.), Transcendental methods, Hodge theory (algebro-geometric aspects), Families, moduli, classification: algebraic theory, Period matrices, variation of Hodge structure; degenerations, \(3\)-folds, \(4\)-folds
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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, Singularities of surfaces or higher-dimensional varieties, Complex surface and hypersurface singularities, Vanishing theorems in algebraic geometry, Multiplier ideals, Transcendental methods, Hodge theory (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Earl, R., Kirwan, F.: The Hodge numbers of the moduli spaces of vector bundles over a Riemann surface. Q. J. Math. \textbf{51}, 465-484 (2000). arXiv:math/0012260 Transcendental methods, Hodge theory (algebro-geometric aspects), Vector bundles on curves and their moduli, Families, moduli of curves (algebraic), Algebraic moduli problems, moduli of vector bundles, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Geometric invariant theory
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Göttsche, L.: Hilbert schemes of zero-dimensional subschemes of smooth varieties. Lect. Notes Math. vol. 1572, Berlin Heidelberg New York: Springer 1993 Parametrization (Chow and Hilbert schemes), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Algebraic cycles, Algebraic moduli problems, moduli of vector bundles
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