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zero cycles; Chow group of algebraic cycles; Hodge structure semisimple algebraic group; good filtration; module of global sections; dominant \(B\)-character; tensor product; generalized Littlewood-Richardson rule; multiplicities; monomials; simple groups
0
zero cycles; Chow group of algebraic cycles; Hodge structure complex reductive algebraic group; ring of polynomial functions; ring of \(G\)-invariant elements; fibers; connected semisimple group; algebra of invariants; equidimensional representations of tori; weights Wehlau, D.: A proof of the Popov conjecture for tori. Proc. Am. Math. Soc. \textbf{114}(3), 839-845 (1992)
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic curves; moduli spaces; Chow rings; enumerative geometry; Hodge integrals; combinatorics; Gromov-Witten theory C. Faber and R. Pandharipande, Logarithmic series and Hodge integrals in the tautological ring , Michigan Math. J. 48 (2000), 215--252. \lremindfpconj emindCited in PD discussion.
0
zero cycles; Chow group of algebraic cycles; Hodge structure Grothendieck standard conjecture; Hodge theory; \(L_ 2\)-cohomology of Kuga fiber varieties; invariant cycles conjecture S. Abdulali, Algebraic cycles in families of abelian varieties,Can. J. Math.,46 (6) (1994), 1121--1134.
0
zero cycles; Chow group of algebraic cycles; Hodge structure covers of arithmetic surfaces; théorème de spécialisation of A. Grothendieck; algebraic cover; geometric monodromy group M. Emsalem, On reduction of covers of arithmetic surfaces, 1997
0
zero cycles; Chow group of algebraic cycles; Hodge structure projective K3 surface; Mumford-Tate group; Néron-Severi group; intersection multiplicity; Tate conjecture for algebraic cycles Tankeev, S. G., Surfaces of type \(K3\) over number fields, and \(l\)-adic representations, Math. USSR-Izv., 0373-2436, 52 33, 3, 575-595, (1989)
0
zero cycles; Chow group of algebraic cycles; Hodge structure sums of squares; Hodge theory; real algebraic geometry; variations of Hodge structures
0
zero cycles; Chow group of algebraic cycles; Hodge structure differential forms; smoothness; good quotient; action of reductive algebraic group; fundamental class
0
zero cycles; Chow group of algebraic cycles; Hodge structure extensions of fields; algebraic numbers; polynomial mappings; survey; polynomials; cycles; length of cycles
0
zero cycles; Chow group of algebraic cycles; Hodge structure representation of finitely generated group; rational representations of pro-affine algebraic group; tangent spaces of the representation varieties; twist operation; orbits 6. Lubotzky, Alexander and Magid, Andy R. Varieties of representations of finitely generated groups \textit{Mem. Amer. Math. Soc.}58 (1985) 117 Math Reviews MR818915 (87c:20021)
0
zero cycles; Chow group of algebraic cycles; Hodge structure mirror symmetry; cohomology ring of semiample nondegenerate hypersurfaces; complete simplicial toric varieties; Calabi-Yau hypersurfaces; Hodge structure A.R. Mavlyutov, \textit{The Hodge structure of semiample hypersurfaces and a generalization of the monomial divisor mirror map}, math/0012208 [INSPIRE].
0
zero cycles; Chow group of algebraic cycles; Hodge structure Zariski problem; topological fundamental groups of complex algebraic varieties; good fibrations; mapping class group; fundamental group of the complement of a projective plane curve DOI: 10.1016/0040-9383(94)00045-M
0
zero cycles; Chow group of algebraic cycles; Hodge structure fixed point varieties on affine flag manifolds; simply connected semisimple algebraic group; variety of Borel subalgebras; Iwahori subalgebras; projective algebraic varieties; nilpotent orbits Chen, Z.: Truncated affine grassmannians and truncated affine Springer fibers for \({\mathrm GL}_{3}\). arXiv:1401.1930
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles with modulus; relative algebraic \(K\)-theory; additive higher Chow groups
0
zero cycles; Chow group of algebraic cycles; Hodge structure Chow ring; Abel-Jacobi map; decomposable cycles; refined cycle map; arithmetic mixed Hodge structures Rosenschon, A., Saito, M.: Cycle map for strictly decomposable cycles. Am. J. Math. 125(4), 773--790 (2003)
0
zero cycles; Chow group of algebraic cycles; Hodge structure torsion of Chow groups; rationally equivalent cycles Lecomte, F., Rigidité des groupes de Chow, Duke Math. J., 53, 405-426, (1986)
0
zero cycles; Chow group of algebraic cycles; Hodge structure linearization of group action; invariant theory; action of a reductive complex algebraic group Kraft, H. and Schwarz, G.V. , Reductive group actions on affine spaces with one-dimensional quotient . To appear in Contemporary Mathematics, Proceedings of the Conference on Group Actions and Invariant Theory, Montreal 1988.
0
zero cycles; Chow group of algebraic cycles; Hodge structure monodromy group; numerical algebraic geometry; real algebraic geometry; real monodromy structure; homotopy continuation; parameter homotopy; kinematics
0
zero cycles; Chow group of algebraic cycles; Hodge structure anticanonical rational surfaces; minimal models of smooth rational surfaces; Hodge index theorem; points in general position; Néron-Severi group; blowing-up Lahyane, M.: Exceptional curves on smooth rational surfaces with \(-\)\ \textit{K} not nef and of self-intersection zero. Proc. Am. Math. Soc. 133, 1593-1599 (2005)
0
zero cycles; Chow group of algebraic cycles; Hodge structure motives; algebraic cycles; projective varieties; Chow groups; \(K\)-groups; Weil cohomology; étale cohomology; triangulated categories Hanamura, Math. Res. Letters 6 pp 61-- (1999)
0
zero cycles; Chow group of algebraic cycles; Hodge structure Jordan group; bounded group; Lie group; algebraic group; automorphism group of complex space; isometry group of Riemannian manifolds
0
zero cycles; Chow group of algebraic cycles; Hodge structure Kedlaya's algorithm; Frobenius action; good reduction; cohomology group; Hodge structure; \(K3\) surface E. Costa, Y. Tschinkel, Variation of Néron-Severi ranks of reductions of K3 surfaces, Exp. Math. 23(4), 475-481 (2014)
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles; Chow groups; motives; multiplicative Chow-Künneth decomposition; Beauville's ``(weak) splitting property''; verra fourfolds; hyperkähler varieties
0
zero cycles; Chow group of algebraic cycles; Hodge structure selected works; reprinting of classic papers; commented classic papers; algebraic geometry; transcendental methods of algebraic geometry; complex analytic geometry; differential geometry; dynamical systems; Hodge theory; variations of Hodge structures; period domains; moduli spaces; vector bundles Ph. GRIFFITHS AND J. HARRIS, Principles of Algebraic Geometry. Pure and Applied Math., Wiley, New York etc., 1978.
0
zero cycles; Chow group of algebraic cycles; Hodge structure local-global principles; arithmetic of algebraic tori; group cohomology; computational methods
0
zero cycles; Chow group of algebraic cycles; Hodge structure Hodge cohomology; de Rham cohomology; classifying space; algebraic stack; reductive group; representation theory; torsion prime
0
zero cycles; Chow group of algebraic cycles; Hodge structure finite subgroups of rotation group; groups; linear algebra; infinite dimensional spaces; systems of linear differential equations; symmetry; free groups; generators; relations; Todd-Coxeter algorithm; bilinear forms; spectral theorems; linear groups; group representations; rings; algebraic geometry; factorization; modules; function fields and their relations to Riemann surfaces; Galois theory Artin, M.: Algebra. Prentice-Hall, Englewood Cliffs (1991)
0
zero cycles; Chow group of algebraic cycles; Hodge structure polarized variation of Hodge structure El Zein F.: Théorie de Hodge à coefficients: étude locale. C. R. Acad. Sci. Paris, I Math. t. 307(11), 593--598 (1988)
0
zero cycles; Chow group of algebraic cycles; Hodge structure hypersurfaces; deformation theory; variations of Hodge structure; Gauss-Manin connection; Hodge filtration; period map
0
zero cycles; Chow group of algebraic cycles; Hodge structure Mal'tsev completion of a discrete group; affine algebraic group; mapping class group; pro-unipotent completion; Torelli group; algebraic 1-cycle; Jacobian of an algebraic curve Hain, R., Completions of mapping class groups and the cycle \(C - C^-\), Contemp. math., 150, 75-105, (1993)
0
zero cycles; Chow group of algebraic cycles; Hodge structure vector bundles; relative Bogomolov's inequality; semistable families of arithmetic varieties; arithmetic Chow group; Riemann-Roch theorems; locally integrable forms [23] Kawaguchi (S.) and Moriwaki (A.).-- Inequalities for semistable families of arithmetic varieties, J. Math. Kyoto Univ. 41 (2001), no.~1, 97-182. &MR~18 | &Zbl~1041.
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles; Hodge theory; hyperplane section; Abel-Jacobi map Otwinowska, A.: Composantes de dimension maximale d'un analogue du lieu de Noether--Lefschetz. Compositio Math. 131(1), 31--50 (2002)
0
zero cycles; Chow group of algebraic cycles; Hodge structure chiral Potts model; Jacobian; automorphism group of algebraic curve
0
zero cycles; Chow group of algebraic cycles; Hodge structure Hodge theory; fundamental group; Kähler manifold; k-algebraic variety; deformation theories William M. Goldman and John J. Millson, The deformation theory of representations of fundamental groups of compact Kähler manifolds, Bull. Amer. Math. Soc. (N.S.) 18 (1988), no. 2, 153 -- 158.
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic group actions; linearized vector bundles; theorem of the square; Albanese morphism M Brion, Introduction to actions of algebraic groups
0
zero cycles; Chow group of algebraic cycles; Hodge structure branching rules for representations of sl(N); Hodge group action; 10- dimensional abelian varieties; Hodge conjecture
0
zero cycles; Chow group of algebraic cycles; Hodge structure K-theory; Hodge theory; algebraic cycles Barbieri Viale, L.: Covering letter to Beilinson, available at http://www.math.unipd.it/\(\sim\)barbieri/sharpmot.pdf
0
zero cycles; Chow group of algebraic cycles; Hodge structure higher Chow group; arithmetic normal function; indecomposable cycles
0
zero cycles; Chow group of algebraic cycles; Hodge structure differential graded algebras; multiple polylogarithms; algebraic cycles; Hopf algebra of framed mixed Tate motives
0
zero cycles; Chow group of algebraic cycles; Hodge structure isolated singularity; mixed Hodge structure; mixed Hodge complexes; Mayer-Vietoris sequence of quasi-projective varieties A. Durfee, Mixed Hodge structures on punctured neighborhoods.Duke Math. J. 50 (1983), 1017--1040.
0
zero cycles; Chow group of algebraic cycles; Hodge structure essential dimension; essential \(p\)-dimension; functor; canonical \(p\)-dimension of a variety; algebraic group (\(G\)); \(G\)-scheme; \(G\)-torsor; strongly \(p\)-incompressible variety; category fibered in groupoids; group of multiplicative type; central simple algebra; étale algebra; quadratic and hermitian forms A.\ S. Merkurjev, Essential dimension: A survey, Transform. Groups 18 (2013), 415-481.
0
zero cycles; Chow group of algebraic cycles; Hodge structure zeta functions of Kuga fiber varieties; fields of definition of the Hodge cycles Abdulali, S.: Fields of definition for some Hodge cycles. Math. Ann.285, 289--295 (1989)
0
zero cycles; Chow group of algebraic cycles; Hodge structure regular singularities; perverse sheaf; complexes of D-modules; holonomic cohomology sheaves; intersection complex; de Rham complex; variation of mixed Hodge structure; mixed holonomic D-module; duality of filtered D- modules Brylinski, J. -L., Modules holonomes a singularites regulieres et filtration de Hodge II, Asterisque, 101-102 (1983), 75-117.
0
zero cycles; Chow group of algebraic cycles; Hodge structure action of linear algebraic group; three-dimensional invariant submanifold; space of binary forms
0
zero cycles; Chow group of algebraic cycles; Hodge structure germ of functions; perverse complex of vanishing cycles; local system on the complement of an irreducible plane curve; local fundamental group L. Narvàez Macarro , Un calcul de cycles évanescents par rapport aux courbes planes irréductibles . Applications aux faisceaux pervers, C.R.A.S. 301 (1985) 197-200.
0
zero cycles; Chow group of algebraic cycles; Hodge structure infinitesimal variation of Hodge structure; IVHS; Jacobian ring; hypersurfaces; variational Torelli problem; complete intersections; Schottky relations Konno, K.: On the variational Torelli problem for complete intersections. Compositio Math. 78, 271--296 (1991)
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic curves; étale coverings of the affine line; fundamental group; Drinfeld modular curves Joshi, K., A family of étale coverings of the affine line, J. number theory, 59, 414-418, (1996)
0
zero cycles; Chow group of algebraic cycles; Hodge structure infinitesimal variation of Hodge structure; IVHS; Torelli problem
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic geometry; classification of \(g_n^1\) elliptic curve; solvable in radicals; monodromy group
0
zero cycles; Chow group of algebraic cycles; Hodge structure Mumford-Tate group; Hodge conjecture; varieties of Mumford-type; Kuga-Satake variety F. Galluzzi, Abelian fourfold of Mumford-type and Kuga--Satake varieties, Indag. Math. (N.S.) 11 (2000), 547--560.
0
zero cycles; Chow group of algebraic cycles; Hodge structure variety of polydules; affine algebraic scheme; affine algebraic group scheme; Grunewald-O'Halloran condition
0
zero cycles; Chow group of algebraic cycles; Hodge structure plurigenera; surfaces of general type; algebraic fundamental group C. D. Hacon, Effective criteria for birational morphisms, J. London Math. Soc. 67 (2003), 337-348. Zbl1058.14020 MR1956139
0
zero cycles; Chow group of algebraic cycles; Hodge structure Lie algebra; algebra of differential operators; categories of \(D\)- modules; \(D\)-group schemes; differential algebraic group Buium A., Differential algebraic groups of finite dimension, Lecture Notes in Math. 1506, Springer-Verlag, Berlin 1992.
0
zero cycles; Chow group of algebraic cycles; Hodge structure exterior differential systems; variation of Hodge structure; Noether-Lefschetz locus; period domain; integral manifold; Hodge conjecture; Pfaffian system; Chern classes; characteristic cohomology; Cartan-Kähler theorem Carlson, J., Green, M., Griffiths, P.: Variations of Hodge structure considered as an exterior differential system: old and new results. SIGMA Symmetry Integrability Geom. Methods Appl. \textbf{5}, Paper 087,40 (2009)
0
zero cycles; Chow group of algebraic cycles; Hodge structure plane algebraic curve; fundamental group of the complement of the curve; Jung transform; cyclic covering Oka, M.: Two transforms of plane curves and their fundamental groups. J. math. Sci. univ. Tokyo 3, No. 2, 399-443 (1996)
0
zero cycles; Chow group of algebraic cycles; Hodge structure representation in algebra of regular functions; algebraic group M. Brion and J. Dixmier, Comportément asymptotique des dimensions des covariants , Bull. Soc. Math. France 119 (1991), 217-230.
0
zero cycles; Chow group of algebraic cycles; Hodge structure étale cohomological dimension; topology of algebraic varieties of small codimension; Picard group Gennady Lyubeznik, Étale cohomological dimension and the topology of algebraic varieties, Ann. of Math. (2) 137 (1993), no. 1, 71 -- 128.
0
zero cycles; Chow group of algebraic cycles; Hodge structure contact structure; homogeneous contact variety of type \(G_2\); Fano variety; classification of five-dimensional algebraic varieties; tangent bundle
0
zero cycles; Chow group of algebraic cycles; Hodge structure Chern classes; Hodge structure; smooth center of the cohomology; strange variety
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic structure of vector bundle on homogeneous rational 3-fold; Chern classes Bănică, C. and Coandă, I. : Existance of rank 3 vector bundles on homogeneous rational 3-folds , Manuscr. Math. 51 (1986) 121-143.
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycle homology; codimension 1 cycles; higher Chow groups Friedlander, E. M., \textit{some computations of algebraic cycle homology}, Proceedings of conference on algebraic geometry and ring theory in honor of Michael Artin, Part III (Antwerp, 1992), Vol. 8, 271-285, (1994)
0
zero cycles; Chow group of algebraic cycles; Hodge structure strong linkage principle; cohomology modules of line bundles; reductive algebraic group; Borel subgroup; p-singular weights; composition factor Wong, W. J.: Very strong linkage for cohomology groups of line bundles on G B. J. algebra 112 (1988)
0
zero cycles; Chow group of algebraic cycles; Hodge structure period conjecture of Gross-Deligne; complex multiplication; arithmetic fixed point formula; equivariant analytic torsion; Hodge conjecture; de Rham cohomology; Betti structure Maillot, V; Rössler, D, On the periods of motives with complex multiplication and a conjecture of Gross-Deligne, Ann. Math., 160, 727-754, (2004)
0
zero cycles; Chow group of algebraic cycles; Hodge structure collected papers; solvability by radicals; valuation theory; algebraic sheaf theory; uniformization of algebraic functions; purity of branch locus; fundamental group of a curve O. Zariski,Collected Papers, Vol. III, MIT Press, 1978, pp. 43--49.
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic group; ring of polynomial invariants; constructive invariant theory; minimal generating set; torus
0
zero cycles; Chow group of algebraic cycles; Hodge structure Chinburg invariants; motives; algebraic \(K\)-theory; Galois structure of algebraic integers; Galois structure of \(K\)-groups D. Burns and M. Flach, On Galois structure invariants associated to Tate motives, \textit Amer. J. Math. \textbf120 \textrm (1998), 1343-1397. DOI 10.1353/ajm.1998.0047; zbl 0929.11050; MR1657186
0
zero cycles; Chow group of algebraic cycles; Hodge structure complexity of action on algebraic variety; NE; convex cone of effective one-cycles; equivariant completion; flipping birational morphisms Brion, M; Knop, F, Contractions and flips for varieties with group action of small complexity, J. Math. Sci. Univ. Tokyo, 1, 641-655, (1994)
0
zero cycles; Chow group of algebraic cycles; Hodge structure Hodge structure of the intersection of three quadrics; polarized Hodge structures O'grady, K. G.: The Hodge structure of the intersection of three quadrics in an odd-dimensional projective space. Math. ann. 273, 277-285 (1986)
0
zero cycles; Chow group of algebraic cycles; Hodge structure Kronecker's Jugendtraum; elliptic functions; elliptic integrals; arithmetic of elliptic curves; Weierstrass \(\wp\)-function; projective plane cubics; Abel's theorem; inversion problem; Jacobi functions; theta functions; Lefschetz theorem; embeddings; theta identities; Euler identities; Jacobi substitutions; quadratic reciprocity; Siegel modular group; modular forms; Eisenstein series; modular equation; arithmetic subgroups; arithmetic applications; solvability of algebraic equations; Galois theory; Klein's icosaeder; quintic equation; imaginary quadratic number fields; class invariants; class polynomial; Mordell-Weil theorem Henry McKean and Victor Moll, \textit{Elliptic Curves}, Cambridge University Press, Cambridge, 1997.
0
zero cycles; Chow group of algebraic cycles; Hodge structure group of \(R\)-equivalence classes; norm homomorphism; algebraic groups; birational geometry Chernousov, V.; Merkurjev, A. S., \textit{R}-equivalence and special unitary groups, J. Algebra, 209, 175-198, (1998)
0
zero cycles; Chow group of algebraic cycles; Hodge structure Neron-Severi group; analytic space; Lefschetz (1,1) theorem; Hodge filtration; mixed Hodge structure Biswas J. and Srinivas V. (2000). A Lefschetz (1,1) theorem for normal projective complex varieties. Duke Math. J. 101(3): 427--458
0
zero cycles; Chow group of algebraic cycles; Hodge structure Iwasawa theory of totally real number fields; covering of algebraic curves over a finite field; Drinfel'd modules; Picard group; L-series David Goss, The theory of totally real function fields, Applications of algebraic \?-theory to algebraic geometry and number theory, Part I, II (Boulder, Colo., 1983) Contemp. Math., vol. 55, Amer. Math. Soc., Providence, RI, 1986, pp. 449 -- 477.
0
zero cycles; Chow group of algebraic cycles; Hodge structure abelian varieties of Kuga's type; zeta functions; absolute Hodge cycles; product of two Shimura curves Abdulali, S.: Zeta functions of Kuga fiber varieties. Duke Math. J.57, 333--345 (1988)
0
zero cycles; Chow group of algebraic cycles; Hodge structure motives; Chow group; Hodge conjecture; Abel-Jacobi map Green, M.: Higher Abel-Jacobi maps. Proc. ICM Berlin 2, 267-276 (1998)
0
zero cycles; Chow group of algebraic cycles; Hodge structure basic slc-trivial fibrations; variation of mixed Hodge structure; b-semi-ampleness conjecture
0
zero cycles; Chow group of algebraic cycles; Hodge structure action of real algebraic group; linearization problem; injectivity of complexification map
0
zero cycles; Chow group of algebraic cycles; Hodge structure Milnor fiber; homotopy of the Milnor fibre; mixed Hodge structure Nicaise, J., Singular cohomology of the analytic Milnor fiber, and mixed Hodge structure on the nearby cohomology, J. Algebraic Geom., 20, 199-237, (2001)
0
zero cycles; Chow group of algebraic cycles; Hodge structure Chern class; Hodge bundle; moduli spaces of principally polarized abelian varieties; moduli space of curves with a level two structure; theta characteristic; Weierstrass points Hain, R; Reed, D, Geometric proofs of some results of Morita, J. Algebraic Geom., 10, 199-217, (2001)
0
zero cycles; Chow group of algebraic cycles; Hodge structure simple linear algebraic group; 2-regular unipotents; variety of Borel subgroups; simple roots; irreducible components; Springer representation; Weyl group
0
zero cycles; Chow group of algebraic cycles; Hodge structure Appell-Humbert theorem; Bieberbach group; cohomology of groups; complex structure; group action; global section of line bundle; group representation; flat Riemannian manifold; holonomy group; Lyndon-Hotschild-Serre spectral sequence; Lefschetz's theorem; Lie group; (ample) line bundle; Neron-Severi group; Picard group
0
zero cycles; Chow group of algebraic cycles; Hodge structure modules of covariants; reductive algebraic group; irreducible character; De Rham cohomology Bergh, M, Cohen-Macaulayness of modules of covariants, Invent. Math., 106, 389-409, (1991)
0
zero cycles; Chow group of algebraic cycles; Hodge structure variations of Hodge structure; Hermitian symmetric domain
0
zero cycles; Chow group of algebraic cycles; Hodge structure braid group; Teichmüller cuve; complex reflection group; moduli space; period map; Hodge theory, configuration space, arithmetic group, algebraic curve C.\ T. McMullen, Braid groups and Hodge theory, Math. Ann. 355 (2013), no. 3, 893-946.
0
zero cycles; Chow group of algebraic cycles; Hodge structure Hodge theory; cycles of codimension 2; Abel-Jacobi equivalence; incidence equivalence [M] J. P. Murre,Abel-Jacobi equivalence versus incidence equivalence for algebraic cycles of codimension two, Topology24 (1985), 361--367
0
zero cycles; Chow group of algebraic cycles; Hodge structure mixed elliptic motive; mixed Tate motive; modular curve; modular form; elliptic polylogarithm; variation of mixed Hodge structure
0
zero cycles; Chow group of algebraic cycles; Hodge structure essential \(p\)-dimension; central simple algebras; Brauer groups; Severi-Brauer varieties; \(R\)-equivalence; Chow groups; character groups of algebraic tori Alexander S. Merkurjev, Essential \?-dimension of \?\?\?(\?²), J. Amer. Math. Soc. 23 (2010), no. 3, 693 -- 712.
0
zero cycles; Chow group of algebraic cycles; Hodge structure representations of fundamental group; local systems on complex projective variety; moduli space of algebraic curve; families of representations; direct image of a harmonic bundle; Higgs bundle; spectral varieties of the Higgs bundles Simpson C.: Some families of local systems over smooth projective varieties. Ann. Math. 138, 337--425 (1993)
0
zero cycles; Chow group of algebraic cycles; Hodge structure Hilbert modular fourfolds; algebraic cycles; Hodge conjecture; Tate conjecture
0
zero cycles; Chow group of algebraic cycles; Hodge structure Hasse principle; approximation theorems for homogeneous spaces; abelianization of Galois cohomology; affine algebraic groups; non-Abelian hypercohomology; Brauer-Grothendieck group Morishita, M.: Hasse principle and approximation theorems for homogeneous spaces. Algebraic number theory and related topics, Kyoto 1996 998, 102-116 (1997)
0
zero cycles; Chow group of algebraic cycles; Hodge structure action of linear algebraic group; homogeneous hypersurface Akhiezer, D.: Algebraic groups transitive in the complement of a homogeneous hypersurface. Trans. Moscow math. Soc. 48, 83-103 (1986)
0
zero cycles; Chow group of algebraic cycles; Hodge structure topological \(K\)-theory; algebraic \(K\)-theory; cyclic homology; noncommutative Hodge structure Blanc, A., \textit{topological K-theory of complex noncommutative spaces}, Compos. Math., 152, 489-555, (2016)
0
zero cycles; Chow group of algebraic cycles; Hodge structure homomorphisms of algebraic groups; group schemes
0
zero cycles; Chow group of algebraic cycles; Hodge structure Hodge structure of the intersection of three quadrics; polarized; Hodge structures [O'G] O'Grady, K.: The Hodge Structure of the intersections of three quadrics in an odd dimensional projective space. Math. Ann 273 (1986), 277-285
0
zero cycles; Chow group of algebraic cycles; Hodge structure generation of Picard group; spin moduli space; algebraic curve; theta characteristic M. Cornalba, A remark on the Picard group of spin moduli space,Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 2 (1991), 211--217.
0
zero cycles; Chow group of algebraic cycles; Hodge structure variational Torelli problem; infinitesimal variation of Hodge structure KÈ\copyright stutis Ivinskis, A variational Torelli theorem for cyclic coverings of high degree, Compositio Math. 85 (1993), no. 2, 201 -- 228.
0
zero cycles; Chow group of algebraic cycles; Hodge structure Higgs bundles; vanishing theorems; positive characteristic; complex variation of Hodge structure; semipositivity
0
zero cycles; Chow group of algebraic cycles; Hodge structure Chow group; algebraic cycle; moving lemma \textsc{A.~Krishna and J.~Park}, {\em Moving lemma for additive higher {C}how groups}, Algebra Number Theory, 6 (2012), pp.~293--326. DOI 10.2140/ant.2012.6.293; zbl 1263.14012; MR2950155; arxiv 0909.3155
0
zero cycles; Chow group of algebraic cycles; Hodge structure variations of mixed Hodge structure; Yoneda n-extensions; K(\(\pi \) ,1) Carlson, J; Hain, R, Extensions of variations of mixed Hodge structure, Astérisque, 179-180, 39-65, (1989)
0
zero cycles; Chow group of algebraic cycles; Hodge structure complete algebraic varieties; equivariant intersection cohomology; action of a connected algebraic group A Weber, Formality of equivariant intersection cohomology of algebraic varieties, Proc. Amer. Math. Soc. 131 (2003) 2633
0
zero cycles; Chow group of algebraic cycles; Hodge structure cohomology of sheaves; Chow groups; morphism of an algebraic surface; Gysin map; adele representation; differentials; tame symbol English transl. in D. V. Osipov 1997 \textit{Sb. Math.}188 5 697--723
0