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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) A. J. Scholl, ''Classical motives,'' in Motives, Proc. Sympos. Pure Math., Seattle, WA, 1991 (Amer. Math. Soc., Providence, RI, 1994), Vol. 55, Part 1, pp. 163--187. Generalizations (algebraic spaces, stacks), Algebraic cycles, (Co)homology theory in algebraic geometry, (Equivariant) Chow groups and rings; motives
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) D. R. Morrison and M.-H. Saito, ``Cremona transformations and degrees of period maps for \(\mathrm{K3}\) surfaces with ordinary double points'', Algebraic geometry (Sendai, Japan 1985), Adv. Stud. Pure Math., 10, North-Holland, Amsterdam, 1987, 477 -- 513 Families, moduli, classification: algebraic theory, Transcendental methods, Hodge theory (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties, Period matrices, variation of Hodge structure; degenerations, \(K3\) surfaces and Enriques surfaces
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) L. Marino, The minimum degree of a surface that passes through all the points of a 0dimensional scheme but a pointP, Algebraic structures and their representations, 315--332, Contemp. Math.376, Amer. Math. Soc., Providence, RI, 2005. Algebraic cycles, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Syzygies, resolutions, complexes and commutative rings
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Dribus, B.F.: On the infinitesimal theory of Chow groups. Ph.D. dissertation, LSU (2014) 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) Transcendental methods, Hodge theory (algebro-geometric aspects), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Variation of Hodge structures (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), NLS equations (nonlinear Schrödinger equations), Transcendental methods, Hodge theory (algebro-geometric aspects), Virasoro and related algebras, Series expansions (e.g., Taylor, Lidstone series, but not Fourier series)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Pardon, W.L.; Stern, M.A., \(L^2\)-\(\overline{\partial}\)-cohomology of complex projective varieties, J. Amer. Math. Soc., 4, 3, 603-621, (1991) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), (Co)homology theory in algebraic geometry, Analytic sheaves and cohomology groups, Transcendental methods, Hodge theory (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) K. Shaw, Tropical (1, 1)-homology for floor decomposed surfaces. In: \textit{Algebraic and combinatorial aspects of tropical geometry} volume 589 of \textit{Contemp. Math}. 329-350, Amer. Math. Soc. 2013. MR3088918 Zbl 1297.14065 Transcendental methods, Hodge theory (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Rational points, Varieties over global fields, Algebraic cycles, Brauer groups of schemes
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Tian, Gang, Kähler-Einstein metrics on algebraic manifolds. Transcendental methods in algebraic geometry, Cetraro, 1994, Lecture Notes in Math. 1646, 143-185, (1996), Springer, Berlin Kähler manifolds, Transcendental methods, Hodge theory (algebro-geometric aspects), Global differential geometry of Hermitian and Kählerian manifolds
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Jean-Louis Colliot-Thélène, Cycles algébriques de torsion et \?-théorie algébrique, Arithmetic algebraic geometry (Trento, 1991) Lecture Notes in Math., vol. 1553, Springer, Berlin, 1993, pp. 1 -- 49 (French). Algebraic cycles, Picard groups, Applications of methods of algebraic \(K\)-theory in algebraic geometry
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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 Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Algebraic cycles
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Rational and birational maps, Algebraic cycles, Families, moduli of curves (algebraic)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) 10.4310/MRL.2016.v23.n2.a10 Transcendental methods, Hodge theory (algebro-geometric aspects), Vanishing theorems, Mixed Hodge theory of singular varieties (complex-analytic aspects), Variation of Hodge structures (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles, Rationality questions in algebraic geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) James A. Carlson & Domingo Toledo, ``Quadratic presentations and nilpotent Kähler groups'', J. Geom. Anal.5 (1995) no. 3, p. 351-359, erratum in \(ibid.\)7 (1997), no. 3, p. 511-514 Algebraic topology on manifolds and differential topology, Global differential geometry of Hermitian and Kählerian manifolds, Transcendental methods, Hodge theory (algebro-geometric aspects), Specialized structures on manifolds (spin manifolds, framed manifolds, etc.)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Calabi-Yau manifolds (algebro-geometric aspects), \(K3\) surfaces and Enriques surfaces, Transcendental methods, Hodge theory (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Proceedings of conferences of miscellaneous specific interest
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Haution, O., \textit{lifting of coefficients for Chow motives of quadrics}, Quadratic forms, linear algebraic groups, and cohomology, 239-247, (2010), Springer, New York Quadratic forms over general fields, Algebraic cycles
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Kazuya Kato, Chikara Nakayama, and Sampei Usui, Classifying spaces of degenerating mixed Hodge structures. I. Borel-Serre spaces, Algebraic analysis and around, Adv. Stud. Pure Math., vol. 54, Math. Soc. Japan, Tokyo, 2009, pp. 187 -- 222. 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) Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Proceedings, conferences, collections, etc. pertaining to number theory, Proceedings, conferences, collections, etc. pertaining to functions of a complex variable, Proceedings, conferences, collections, etc. pertaining to differential geometry, Proceedings, conferences, collections, etc. pertaining to quantum theory, Transcendental methods, Hodge theory (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), Compact Riemann surfaces and uniformization, Mirror symmetry (algebro-geometric aspects), Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category, Operator algebra methods applied to problems in quantum theory, Proceedings of conferences of miscellaneous specific interest
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Toric varieties, Newton polyhedra, Okounkov bodies, Representations of quivers and partially ordered sets, Algebraic cycles, Calabi-Yau manifolds (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) R. Parimala and V. Suresh, ''Zero-cycles on quadric fibrations: finiteness theorems and the cycle map,'' Invent. Math., vol. 122, iss. 1, pp. 83-117, 1995. Parametrization (Chow and Hilbert schemes), Algebraic cycles, Varieties over global fields, Applications of methods of algebraic \(K\)-theory in algebraic geometry
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Classical real and complex (co)homology in algebraic geometry, Algebraic cycles
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles, Varieties over global fields, Global ground fields in algebraic geometry, Modular and Shimura varieties
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Donagi, R.: Generic Torelli for projective hypersurfaces. Compositio. Math. 50, 325--353 (1983) Transcendental methods, Hodge theory (algebro-geometric aspects), Picard schemes, higher Jacobians, Period matrices, variation of Hodge structure; degenerations
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Divisors, linear systems, invertible sheaves, Vanishing theorems in algebraic geometry
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) \(K3\) surfaces and Enriques surfaces, Algebraic cycles, Algebraic moduli problems, moduli of vector bundles, Complex-analytic moduli problems, Arithmetic aspects of modular and Shimura varieties
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Transcendental methods, Hodge theory (algebro-geometric aspects), Fano varieties
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Steenbrink, J. H. M.: A summary of mixed Hodge theory. Motives, proc. Symp. in pure mathematics 55, 31-41 (1993) 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) Algebraic cycles, (Equivariant) Chow groups and rings; motives
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) V. G. Berkovich. A non-Archimedean interpretation of the weight zero subspaces of limit mixed Hodge structures. In Algebra, Arithmetic and Geometry - Manin Festschrift (to appear). Boston: Birkhäuser. Variation of Hodge structures (algebro-geometric aspects), Rigid analytic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Non-Archimedean analysis, Period matrices, variation of Hodge structure; degenerations, Mixed Hodge theory of singular varieties (complex-analytic aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Rigid analytic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Homotopy theory and fundamental groups in algebraic geometry, Algebraic cycles, Class field theory, 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) Transcendental methods, Hodge theory (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), Mirror symmetry (algebro-geometric aspects), Toric varieties, Newton polyhedra, Okounkov bodies, Transcendental methods of algebraic geometry (complex-analytic aspects), Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) V.I. Danilov and A.G. Khovanski{\u{ı}}\kern.15em, Newton polyhedra and an algorithm for computing Hodge-Deligne numbers. Math. USSR Izvestiya, 29 (1987), 279-298. Toric varieties, Newton polyhedra, Okounkov bodies, Transcendental methods, Hodge theory (algebro-geometric aspects), Complete intersections, Transcendental methods of algebraic geometry (complex-analytic aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Transcendental methods, Hodge theory (algebro-geometric aspects), Classical real and complex (co)homology in algebraic geometry, Geometric constructions in real or complex geometry, Topological properties in algebraic geometry, Homotopy theory and fundamental groups in algebraic geometry
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) S. Li, B.H. Lian and S.-T. Yau, \textit{Picard-Fuchs equations for relative periods and Abel-Jacobi map for Calabi-Yau hypersurfaces}, arXiv:0910.4215 [INSPIRE]. Calabi-Yau manifolds (algebro-geometric aspects), Transcendental methods, Hodge theory (algebro-geometric aspects), Structure of families (Picard-Lefschetz, monodromy, etc.), Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) \beginbarticle \bauthor\binitsT. \bsnmBauer, \batitleOn the cone of curves of an Abelian variety, \bjtitleAmer. J. Math. \bvolume120 (\byear1998), no. \bissue5, page 997-\blpage1006. \endbarticle \OrigBibText T. Bauer. On the cone of curves of an abelian variety. American Journal of Mathematics , 120(5), 1998. \endOrigBibText \bptokstructpyb \endbibitem Isogeny, Algebraic cycles, Plane and space curves, Picard groups
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Transcendental methods, Hodge theory (algebro-geometric aspects), \(p\)-adic cohomology, crystalline cohomology
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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) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Supersymmetric field theories in quantum mechanics, Supermanifolds and graded manifolds, Functional analysis on superspaces (supermanifolds) or graded spaces, Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs, Transcendental methods, Hodge theory (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Variation of Hodge structures (algebro-geometric aspects), Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Period matrices, variation of Hodge structure; degenerations, Transcendental methods of algebraic geometry (complex-analytic aspects), Collections of articles of miscellaneous specific interest
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Gross, B. H.; Schoen, C., \textit{the modified diagonal cycle on the triple product of a pointed curve}, Ann. Inst. Fourier (Grenoble), 45, 649-679, (1995) Arithmetic varieties and schemes; Arakelov theory; heights, Rational points, Arithmetic ground fields for curves, Modular and Shimura varieties, Algebraic cycles, Arithmetic aspects of modular and Shimura varieties
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) A. Libgober, ''Homotopy groups of the complements to singular hypersurfaces,''Bull. AMS,13, No. 1, 49--51 (1986). Homotopy groups of special spaces, Low-dimensional topology of special (e.g., branched) coverings, Transcendental methods, Hodge theory (algebro-geometric aspects), Low codimension problems in algebraic geometry
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) History of algebraic geometry, History of mathematics in the 20th century, (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.), Deformations and infinitesimal methods in commutative ring theory, Transcendental methods, Hodge theory (algebro-geometric aspects), Étale and other Grothendieck topologies and (co)homologies, \(p\)-adic cohomology, crystalline cohomology
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Difference equations, scaling (\(q\)-differences), Hodge theory in global analysis, Transcendental methods, Hodge theory (algebro-geometric aspects)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Kahn, Bruno, La conjecture de Milnor (d'après V. Voevodsky), Astérisque, 245, Exp.\ No.\ 834, 5, 379-418, (1997) Research exposition (monographs, survey articles) pertaining to \(K\)-theory, Higher symbols, Milnor \(K\)-theory, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Relations of \(K\)-theory with cohomology theories, Generalizations (algebraic spaces, stacks), Stable homotopy theory, spectra, Étale and other Grothendieck topologies and (co)homologies, Algebraic cycles, Galois cohomology
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) DOI: 10.1007/BF01450836 Vanishing theorems, Transcendental methods, Hodge theory (algebro-geometric aspects), Holomorphic bundles and generalizations, Divisors, linear systems, invertible sheaves
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) S. Bloch, H. Gillet, and C. Soulé, Algebraic cycles on degenerate fibers, Arithmetic geometry (Cortona, 1994) Sympos. Math., XXXVII, Cambridge Univ. Press, Cambridge, 1997, pp. 45 -- 69. Algebraic cycles, Variation of Hodge structures (algebro-geometric aspects), Motivic cohomology; motivic homotopy theory, (Equivariant) Chow groups and rings; motives
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Homogeneous complex manifolds, Grassmannians, Schubert varieties, flag manifolds, Algebraic cycles
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Holomorphic symplectic varieties, hyper-Kähler varieties, Algebraic cycles, Parametrization (Chow and Hilbert schemes)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) V.K. Murty, Exceptional Hodge classes on certain abelian varieties,Math. Ann. 268 (1984), 197--206. Analytic theory of abelian varieties; abelian integrals and differentials, Transcendental methods, Hodge theory (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) DOI: 10.1215/S0012-7094-87-05530-X Transcendental methods, Hodge theory (algebro-geometric aspects), Other homology theories in algebraic topology, (Co)homology theory in algebraic geometry, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Transcendental methods of algebraic geometry (complex-analytic aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Pirola G.P.: The infinitesimal invariant of C +--C Algebraic cycles and Hodge theory (Torino, 1993). Lecture Notes in Math., Vol. 1594, pp. 223--232. Springer, Berlin (1994) Jacobians, Prym varieties, Algebraic cycles, Picard schemes, higher Jacobians
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Martin Kreuzer, On 0-dimensional complete intersections, The Curves Seminar at Queen's, Vol. VII (Kingston, ON, 1990) Queen's Papers in Pure and Appl. Math., vol. 85, Queen's Univ., Kingston, ON, 1990, pp. Exp. No. J, 18. Complete intersections, Algebraic cycles, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Karpenko, N, \textit{canonical dimension of} (\textit{semi}-)\textit{spinor groups of small ranks}, Pure Appl. Math. Q., 4, 1033-1039, (2008) Affine algebraic groups, hyperalgebra constructions, Algebraic cycles
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles, Elliptic curves over global fields, Elliptic curves over local fields, Abelian varieties of dimension \(> 1\)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Mainak Poddar, Orbifold cohomology group of toric varieties, Orbifolds in mathematics and physics (Madison, WI, 2001) Contemp. Math., vol. 310, Amer. Math. Soc., Providence, RI, 2002, pp. 223 -- 231. 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) Arapura, D.; Kang, Su-Jeong, Kähler--de Rham cohomology and Chern classes, Comm. Algebra, 39, 4, 1153-1167, (2011) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Transcendental methods, Hodge theory (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Totaro, Burt, Adjoint functors on the derived category of motives, (2015), arXiv preprint 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) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Curves in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Transcendental methods of algebraic geometry (complex-analytic aspects), Riemann surfaces; Weierstrass points; gap sequences, Compact complex surfaces, Surfaces and higher-dimensional varieties
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic moduli problems, moduli of vector bundles, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Transcendental methods, Hodge theory (algebro-geometric aspects), Sheaves in algebraic geometry, Families, moduli of curves (algebraic), Global theory and resolution of singularities (algebro-geometric aspects), Geometric invariant theory, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (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) J. Steenbrink , S. Zucker , Polar curves, resolution of singularities and the filtered Mixed Hodge Structure on the vanishing cohomology , in '' Singularities. Representation of Algebras and Vector Bundles ,'' Lecture Notes in Math. 1273, Springer-Verlag, Heidelberg, Berlin, New York, 1989, pp. 178-202. (Co)homology theory in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Singularities in algebraic geometry, Singularities of curves, local rings, Singularities of surfaces or higher-dimensional varieties
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) André, Y., Une introduction aux motifs (motifs purs, motifs mixtes, périodes), Panor. Synthèses, vol. 17, (2004), Société Mathématique de France Paris Research exposition (monographs, survey articles) pertaining to algebraic geometry, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Period matrices, variation of Hodge structure; degenerations, Transcendence theory of other special functions, Motivic cohomology; motivic homotopy theory, Algebraic cycles
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Tadokoro Y.: A nontrivial algebraic cycle in the Jacobian variety of the Fermat sextic. Tsukuba J. Math. 33(1), 29--38 (2009) Algebraic cycles, Jacobians, Prym varieties
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Okounkov, A., Pandharipande, R.: Hodge integrals and invariants of the unknot. Geometry \& Topology, vol. 8, Paper no. 17, pp. 675--699 (2004) 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) Families, moduli of curves (algebraic), Algebraic cycles, Divisors, linear systems, invertible sheaves
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) M. Lieblich, M. Olsson, Fourier-Mukai partners of K3 surfaces in positive characteristic. Ann. Sci. Éc. Norm. Supér. (4) 48(5), 1001-1033 (2015). (English, with English and French summaries) \(K3\) surfaces and Enriques surfaces, Positive characteristic ground fields in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), \(p\)-adic cohomology, crystalline cohomology
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Clemens, H.: Lower bounds on genera of subvarieties of generic hypersurfaces, Comm. algebra 31, 3673-3711 (2003) Algebraic cycles, Hypersurfaces and algebraic geometry
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Kato, K.; Russell, H., \textit{Albanese varieties with modulus and Hodge theory}, Ann. Inst. Fourier (Grenoble), 62, 783-806, (2012) Group varieties, 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, Transcendental methods, Hodge theory (algebro-geometric aspects), Minimal model program (Mori theory, extremal rays), \(3\)-folds
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) M. Kerz and S. Müller-Stach, \textsl{The Milnor-Chow homomorphism revisited}, \(K\)-Theory, \textbf{38}, (2007), no. 1, 49--58. DOI 10.1007/s10977-007-9006-1; zbl 1144.19002; MR2353863; arxiv math/0601175 Higher symbols, Milnor \(K\)-theory, Algebraic cycles, Motivic cohomology; motivic homotopy theory, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Blasius, D., A \(p\)-adic property of Hodge classes on abelian varieties, Seattle, WA, 1991, Providence Arithmetic ground fields for abelian varieties, Transcendental methods, Hodge theory (algebro-geometric aspects), \(p\)-adic cohomology, crystalline cohomology
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Colliot-Thélène, J.-L.; Swinnerton-Dyer, Sir Peter, Hasse principle and weak approximation for pencils of Severi-Brauer and similar varieties, J. reine angew. Math., 453, 49-112, (1994) Global ground fields in algebraic geometry, Rational points, Algebraic cycles, Varieties over global fields, Brauer groups of schemes, Parametrization (Chow and Hilbert schemes)
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Generalizations (algebraic spaces, stacks), Algebraic cycles, Finite ground fields in algebraic geometry
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) W. Chi, On the \(l\)-adic representations attached to some absolutely simple abelian varieties of type \(\mathrm II\) , J. Fac. Sci. Univ. Tokyo Sect. IA Math. 37 (1990), no. 2, 467-484. Arithmetic ground fields for abelian varieties, Algebraic cycles
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Bogomolov, F. A.; Landia, A. N., \(2\)-cocycles and Azumaya algebras under birational transformations of algebraic schemes, Algebraic geometry (Berlin, 1988), Compositio Math., 0010-437X, 76, 1-2, 1-5, (1990) (Co)homology theory in algebraic geometry, Algebraic cycles, Brauer groups of schemes, Realizing cycles by submanifolds
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Friedlander, E. M.; Suslin, A., The spectral sequence relating algebraic \textit{K}-theory to motivic cohomology, Ann. Sci. Éc. Norm. Supér. (4), 35, 6, 773-875, (2002), MR 1949356 Motivic cohomology; motivic homotopy theory, Algebraic cycles, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), \(K\)-theory of schemes
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) E. Cattani, A. Kaplan and W. Schmid. Degeneration of Hodge structures. \textit{Ann. Math}, (2)123 (1986), 457-535 Transcendental methods, Hodge theory (algebro-geometric aspects), Singularities in algebraic geometry
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Schaffler L. , 'On the cone of effective 2-cycles on \(\overline {M}_{0,7}\) ', Preprint, 2015, arXiv:1501.01736v3 [math.AG]. Families, moduli of curves (algebraic), Algebraic cycles, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Cappell , S. E. Maxim , L. Schüurmann , J. Shaneson , J. L. Yokura , S. Characteristic classes of symmetric products of complex quasi-projective varieties Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Algebraic cycles
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Hodge theory and deformations of affine cones of subcanonical projective varieties Deformations of singularities, Transcendental methods, Hodge theory (algebro-geometric aspects), Deformations and infinitesimal methods in commutative ring theory, (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) A. Dimca and G. Sticlaru, Koszul complexes and pole order filtrations, Proc. Edinb. Math. Soc. (2) 58 (2015), 333-354. Mixed Hodge theory of singular varieties (complex-analytic aspects), Transcendental methods, Hodge theory (algebro-geometric aspects), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Syzygies, resolutions, complexes and commutative rings
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) P. Pragacz, ''Symmetric polynomials and divided differences in formulas of intersection theory,'' in Parameter Spaces, Warsaw: Polish Acad. Sci., 1996, vol. 36, pp. 125-177. Symmetric functions and generalizations, (Equivariant) Chow groups and rings; motives, Algebraic cycles
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Transcendental methods, Hodge theory (algebro-geometric aspects), Local complex singularities, Singularities in algebraic geometry, Transcendental methods of algebraic geometry (complex-analytic aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles, Parametrization (Chow and Hilbert schemes), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Projective techniques in algebraic geometry
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Joseph Steenbrink and Steven Zucker, Variation of mixed Hodge structure. I, Invent. Math. 80 (1985), no. 3, 489 -- 542. , https://doi.org/10.1007/BF01388729 Steven Zucker, Variation of mixed Hodge structure. II, Invent. Math. 80 (1985), no. 3, 543 -- 565. Transcendental methods, Hodge theory (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) J. Burillo, ''The Poincaré-Hodge Polynomial of a Symmetric Product of Compact Kähler Manifolds,'' Collect. Math. 41, 59--69 (1990). Transcendental methods, Hodge theory (algebro-geometric aspects), Curves in algebraic geometry, Global differential geometry of Hermitian and Kählerian manifolds, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Linear algebraic groups over arbitrary fields, Algebraic cycles
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) V. V. Nikulin, ''On Correspondences between K3 Surfaces,'' Izv. Akad. Nauk SSSR, Ser. Mat. 51(2), 402--411 (1987) [Math. USSR, Izv. 30, 375--383 (1988)]. Rational and birational maps, Transcendental methods, Hodge theory (algebro-geometric aspects), \(K3\) surfaces and Enriques surfaces
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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, \(K\)-theory of schemes
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Cohen, R.L., Lima-Filho, P.: Holomorphic K-theory, algebraic co-cycles, and loop groups. K-Theory 23, 345--376 (2001) Algebraic cycles, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Applications of methods of algebraic \(K\)-theory in algebraic geometry, 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) Transcendental methods, Hodge theory (algebro-geometric aspects), Rational and birational maps, (Co)homology theory in algebraic geometry, Global differential geometry of Hermitian and Kählerian manifolds
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Deformations of singularities, Mixed Hodge theory of singular varieties (complex-analytic 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) Transcendental methods, Hodge theory (algebro-geometric aspects), Transcendental methods of algebraic geometry (complex-analytic aspects), Complex manifolds
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) doi:10.1007/978-1-4614-1809-2 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Varieties and morphisms, Compact Riemann surfaces and uniformization, Kähler manifolds
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) H HAMM, Quotienten torischer Varictaten, preprint, Mnster (1998 Mixed Hodge theory of singular varieties (complex-analytic aspects), Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects), Transcendental methods, Hodge theory (algebro-geometric aspects)
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles, (Equivariant) Chow groups and rings; motives, \(4\)-folds
| 0
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Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles, Arithmetic varieties and schemes; Arakelov theory; heights
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