text stringlengths 2 1.42k | label int64 0 1 |
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zero cycles; Chow group of algebraic cycles; Hodge structure Chow group of zero-cycles; decomposition of the diagonal; cubic hypersurfaces | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure moduli space; vector bundles; algebraic cycles; Griffith group; product of the Jacobian; Chow ring | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure generalized Kummer varieties; Chow group of zero cycles; Bloch-Beilinson conjecture; Beauville conjecture; constant cycle subvarieties Lin, Hsueh-Yung, On the Chow group of zero-cycles of a generalized Kummer variety, Adv. Math., 298, 448-472, (2016) | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles; values of \(L\)-functions; motivic cohomology; normal crossings divisor; Chow homology group; monodromy conjecture; Bloch's conjecture; archimedean cohomology; Euler \(L\)-factor C. Consani, Double complexes and Euler L-factors, \textit{Compositio Math.}, 111 (1998), no. 3, 323--358.Zbl 0932.14011 MR 1617133 | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Hodge connectivity; variation of Hodge structure; Chow group; Hodge filtration M. Nori, Algebraic cycles and Hodge theoretic connectivity, Invent. Math. 111 (1993), 349-373. Zbl0822.14008 MR1198814 | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure modular elliptic curve; Chow group of zero-cycles; cycle map DOI: 10.1215/S0012-7094-96-08514-2 | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles; zero-cycles; Abel-Jacobi map; Albanese variety; variation of Hodge structures; Schiffer variations Green, M.; Griffiths, P., An interesting 0-cycle, Duke Math. J., 119, 261-313, (2003) | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure 3-folds; predetermined Euler characteristic; singularities; cohomology of the resolution; small projective resolution; rigid varieties; Galois representations; algebraic cycles; variations of Hodge structure; low Hodge numbers; superstring C. Schoen, ``On fiber products of rational elliptic surfaces with section'', Math. Z.197 (1988) no. 2, p. 177-199 | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles; Beauville's ``splitting property'' conjecture; Bloch-Beilinson filtration; Bloch's conjecture; Chow group; Fano varieties of lines on cubic fourfolds; finite-dimensional motive; hyperkähler varieties; motive; non-symplectic automorphism | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure infinite generation of Chow group; zero cycles; singular surfaces Pedrini, C.; Weibel, C., \textit{divisibility in the Chow group of zero-cycles on a singular surface}, Astérisque, 226, 371-409, (1994) | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Griffiths group; Chow group; Hodge cohomology; algebraic cycles; \(K\)- theoretic methods; normal functions; Koszyl groups [Mu] Müller-Stach, S.: On the non-triviality of the Griffiths group. J. Reine Angew. Math.427, 209--218 (1992) | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure conjecture of C. Voisin; arithmetic mixed sheaves; arithmetic mixed Hodge structures; second Abel-Jacobi map; zero cycles; codimension two cycles; higher Chow groups M. Saito, Arithmetic mixed sheaves , Invent. Math. 144 (2001), 533--569. \CMP1 833 893 | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic groups of Mumford-Tate type; Hodge cycles; simple complex abelian variety; Hodge group | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Chow group; rational surface; finite group of classes of algebraic cycles; finite field J.-L. Colliot-Thélène, J.-J. Sansuc, and C. Soulé, Quelques théorèmes de finitude en théorie des cycles algébriques , C. R. Acad. Sci. Paris Sér. I Math. 294 (1982), no. 23, 749-752. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles; standard conjecture; Chow group | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure transcendental algebraic geometry; algebraic cycles; Chow groups; Hodge theory; Lefschetz pencils; Bloch-Beilinson conjecture; Torelli theorems C. Voisin, \textit{Hodge Theory and Complex Algebraic Geometry}, Vol. 1, Cambridge Studies in Advanced Mathematics, Vol. 76, Cambridge University Press, Cambridge, 2007. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure real algebraic geometry; real algebraic varieties; complexification; Smith's theory; Galois-Maximal varieties; algebraic cycles; real algebraic models; algebraic curves; algebraic surfaces; topology of algebraic varieties; regular maps; rational maps; singularities; algebraic approximation; Comessatti theorem; Rokhlin theorem; Nash conjecture; Hilbert's XVI problem; Cremona group; real fake planes | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure complex suspension theorem; Lawson homology; generalized cycle map; joins of algebraic cycles; integral currents; Thom isomorphisms; generalized flag varieties; compact hermitian symmetric spaces; reductive group action Lima-Filho P.: On the generalized cycle map. J. Differ. Geom. 38, 105--130 (1993) | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure geometry of differential equations; higher \(K\)-theory; Hodge theory; Abel's differential equations; deformation; algebraic cycles Green, M. L.; Griffiths, P. A., Abel's differential equations, Houston J. Math., 28, 329-351, (2002) | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure generators of modules; Chow group; zero-cycle | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Nullstellensatz; zero estimate; analytic subgroup of a commutative algebraic group P. Philippon, Lemmes de Zéros dans les Groupes Algébriques Commutatifs,'' Bull. Soc. Math. France 114, 355 (1986). | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles; Chow groups; motives; \(K3\) surfaces; cubic hypersurfaces; Fano varieties of lines; Franchetta conjecture; hyper-Kähler varieties; Beauville ``splitting property'' conjecture; multiplicative Chow-Künneth decomposition | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Albanese variety; algebraic cycles; second cohomology group of a surface with prescribed singularities; curves on surfaces; effective divisor; 1- motive; periods | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Picard group; Picard number; real algebraic surface; homology; algebraic cycles; resolution of singularities Frédéric Mangolte, Une surface réelle de degré 5 dont l'homologie est entièrement engendrée par des cycles algébriques, C. R. Acad. Sci. Paris Sér. I Math. 318 (1994), no. 4, 343 -- 346 (French, with English and French summaries). | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure fundamental group; variation of Hodge structure R.M. Hain. The Hodge de Rham theory of relative Malcev completion. \textit{Ann. Sci. Ecole Norm. Sup. (4),} (1)31 (1998), 47-92 | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles; Chow motives; Hodge filtration; intermediate Jacobian; Abel-Jacobi kernel; generic point; Poincaré bundle; holomorphic form S Gorchinskiy, V Guletski, Symmetric powers in stable homotopy categories | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure moduli spaces of genus zero stable maps; real algebraic variety; real structure S. Kwon, Real aspects of the moduli space of genus zero stable maps , preprint, math.AG/0305128 | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure mixed Hodge structure; second cohomology group; Hessian family of elliptic curves | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles; cohomology group; complex projective variety equipped with its underlying real algebraic structure DOI: 10.1007/BF01265347 | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure p-divisible group; Hodge-Tate structure of weights; p-adic Galois representation; p-adic analogue of the Eichler-Shimura isomorphisms; principal modular curves L. Fargues, \textit{L'isomorphisme entre les tours de Lubin-Tate et de Drinfeld et applications cohomologiques}, in \textit{L'isomorphisme entre les tours de Lubin-Tate et de Drinfeld}, Progress in Mathematics \textbf{262} (2008), 1-325. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles; Chow groups; pure motives; singular varieties; Hodge conjecture Laterveer, R.: Correspondences and singular varieties. To appear in Monatshefte für Mathematik | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Milnor K-group; higher Chow group; mixed K-group; zero-dimensional cycles Reza Akhtar, Milnor \?-theory of smooth varieties, \?-Theory 32 (2004), no. 3, 269 -- 291. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure recovery of vanishing cycles; log geometry; Riemann-Hilbert correspondence; integral structure of the degenerate variation of mixed Hodge structure S. USUI, Recovery of vanishing cycles by log geometry, Tôhoku Math. J., 53 (1) (2001), pp. 1-36. Zbl1015.14005 MR1808639 | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic \(K\)-theory; Bloch-Quillen formula; Gersten spectral sequence; sheaves of higher \(K\)-groups; torsion; higher Chow groups; relative Chow group; Picard groups S. E. Landsburg, ''Relative Chow groups,'' Illinois J. Math., vol. 35, iss. 4, pp. 618-641, 1991. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure ordinary K 3 surface over a finite field; Tate conjecture on algebraic cycles; canonical lifting; abelian variety; Galois representation; rational Hodge structure; Hodge structures Borel, A., Tits, J.: Groupes Réductifs. Inst. Hautes Étud. Sci. Publ. Math. \textbf{27}(1), 55-150 (1965) | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure family of Hodge structures; moduli space; principally polarized abelian varieties; abelian subvariety; Shimura variety; Hodge cycles; Mumford-Tate group | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure transcendental algebraic geometry; Kählerian geometry; Hodge theory; Hodge decomposition; Lefschetz decomposition; Hodge index theorem; de Rham complex; Frölicher spectral sequence; variations of Hodge structures; period domain; algebraic cycles; Deligne cohomology; Abel-Jacobi map C. Voisin, \textit{Hodge theory and complex algebraic geometry. I}. Translated from the French original by Leila Schneps, Cambridge Studies in Advanced Mathematics, 76, Cambridge University Press, Cambridge, 2002.Zbl 1005.14002 MR 1967689 | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure \(K\)-theory; algebraic cycles; Grothendieck topology; Chow group; motivic cohomology; localization property; Quillen-Lichtenbaum conjecture; étale cohomology; Bloch-Kato conjecture 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. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure supergravity; variations of Hodge structure; Calabi-Yau spaces; supersymmetry; superstring; superconformal theories; Schottky problem for algebraic complex manifolds S. Cecotti, \?=2 supergravity, type \?\?\? superstrings, and algebraic geometry, Comm. Math. Phys. 131 (1990), no. 3, 517 -- 536. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles; Chow group; generalized Bloch conjecture D. Eklund, Curves on Heisenberg invariant quartic surfaces in projective 3-space, arXiv:1010.4058v2. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Schubert variety; variation of Hodge structure; infinitesimal period relation; Griffiths' transversality; Hodge theory; Mumford-Tate group Robles, C., \textit{Schubert varieties as variations of Hodge structure}, Selecta Math. (N.S.), 20, 719-768, (2014) | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure relative homotopy group; locally ringed \(T_ 0\) spaces; elliptic curve; fundamental groups of affine models; homotopy theory internal to algebraic varieties; monoid in algebraic varieties with zero | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure real algebraic curve; effective divisors; group structure on the neutral real component of the Jacobian Huisman, J.: On the neutral component of the Jacobian of a real algebraic curve having many components. Indag. math. 12, No. 1, 73-81 (2001) | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic \(K\)-theory; Picard group; Néron-Severi group; Chow groups; Merkurev-Suslin theorem; algebraic cycles 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). | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure relative Chow group; zero-cycles 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. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure cubic hypersurfaces; Hodge structure; Chow group; incidence correspondence | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure CM cycles; Shimura curves; Abel-Jacobi map in Hodge numbers; abelian surfaces with quaternionic multiplication; complex multiplication cycles; Griffiths group of infinite rank A. Besser, CM cycles over Shimura curves, J. Algebraic Geom. 4 (1995), no. 4, 659-691. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Deligne group; normal function; Abel-Jacobi map; algebraic cycle; Hodge cycles; intermediate Jacobians Fouad El Zein and Steven Zucker, Extendability of normal functions associated to algebraic cycles, Topics in transcendental algebraic geometry (Princeton, N.J., 1981/1982) Ann. of Math. Stud., vol. 106, Princeton Univ. Press, Princeton, NJ, 1984, pp. 269 -- 288. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure survey; research monograph; motives; pure motives; mixed motives; motivic cohomology; algebraic cycles; periods of integrals; Chow groups; K-theory André, Y., Une introduction aux motifs (motifs purs, motifs mixtes, périodes), Panor. Synthèses, vol. 17, (2004), Société Mathématique de France Paris | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Hasse principle; weak approximation; Brauer-Manin obstruction; Brauer group; zero-cycles; Chow group 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) | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure supersingular Fermat submotive; Fermat variety; Artin-Tate-Milne formulas; torsion of the Brauer group; Tate conjecture; cycle map; algebraic cycles; Néron-Severi groups | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure group of algebraic cycles of codimension p; rational equivalence; global height pairing Bloch, Spencer, Height pairings for algebraic cycles, Proceedings of the Luminy conference on algebraic \(K\)-theory (Luminy, 1983), 34, 2-3, 119-145, (1984) | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic K3 surface; Hodge structure; isomorphism of forms 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)]. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure \(p\)-adic field; abelian varieties; Galois cohomology; integral \(p\)-adic Hodge theory; zero-cycles; Brauer group | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure multilinear algebra; tensor products; algebraic varieties; secant varieties; representation theory; complexity theory; matrices; monograph; textbook; matrix multiplication; tensor decomposition; tensor network; border rank; tensor calculus; projective algebraic geometry; Terracini's Lemma; polynomial Waring problem; Segre varieties; signal processing; Littlewood-Richardson rule; Pieri's formula; Strassen's equation; Young flattening; Friedland's equation; Fano varieties of line; Chow varieties of zero cycle; Brill's equation; normal form; Konstant's theorem; Bott-Borel-Weil theorem; Koszul sequences; syzygies J. M. Landsberg, \textit{Tensors: Geometry and Applications}, American Mathematical Society, Providence, RI, 2012. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure recovery of vanishing cycles; log geometry; Riemann-Hilbert correspondence; integral structure of the degenerate variation of mixed Hodge structure Sampei Usui, Recovery of vanishing cycles by log geometry: case of several variables, Commutative algebra, algebraic geometry, and computational methods (Hanoi, 1996) Springer, Singapore, 1999, pp. 135 -- 143. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic \(K\)-theory; algebraic cycles; intersection theory; Chow ring; Deligne-Beilinson cohomology; Hodge conjecture; de Rham cohomology; motives Murre, J.P.: Algebraic cycles and algebraic aspects of cohomology and k-theory, In: Albano, A., Bardelli, F. (eds.) Algebraic Cycles and Hodge Theory, Lecture Notes in Mathematics, vol. 1594, pp. 93-152 (1994) | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles; Chow group; motive; Bloch-Beilinson filtration; distinguished cycles; section property | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Albanese variety; Chow group; zero cycles; rational equivalence; isomorphism on torsion; desingularization M. Levine, ''Torsion zero-cycles on singular varieties,'' Amer. J. Math., vol. 107, iss. 3, pp. 737-757, 1985. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles; mixed Hodge structures; extensions; regulators; curves; Jacobians; higher Chow cycles; motivic cycles | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure root system; algebraic reductive group; Chow ring; homology of Lie group | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles; Chow group; motive; Bloch-Beilinson filtration; Beauville's ``splitting property'' conjecture; multiplicative Chow-Künneth decomposition; Fano threefolds; tautological ring | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles; Griffiths group; topological filtration; Chow correspondences Friedlander E.M. (2000). Relative chow correspondences and the griffiths group. Ann. Inst. Fourier (Grenoble) 50(4): 1073--1098 | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic K-theory; algebraic cycles; Chow group; codimension two cycles; Abel-Jacobi map; norm residue map; higher Picard variety Murre, J.P., Applications of algebraic \textit{K}-theory to the theory of algebraic cycles, (Algebraic geometry, Sitges (Barcelona), 1983, Lecture notes in math., vol. 1124, (1985), Springer Berlin), 216-261 | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Chow group; algebraic cycles; motives; filtration; Abel-Jacobi map Saito, S.: Motives and filtrations on Chow groups. Invent. Math. 125, 146--196 (1996) | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Galois cohomology; cohomology of Severi-Brauer varieties; Brauer group; \(K_2\); algebraic cycles | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure zero estimates; Cayley-Chow forms; effective elimination; algebraic independence; local generalization of Liouville's inequality; Hilbert Nullstellensatz Brownawell ( W.D. ) .- Applications of Cayley-Chow forms , dans '' Journées arithmétiques, ULM 1987 '', Lecture notes , Springer 1380 ( 1989 ), pp. 1 - 18 . MR 1009790 | Zbl 0674.10031 | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Kuga variety; intermediate Jacobian; cusp forms; generalized Hodge conjecture; Abel-Jacobi map; algebraic cycles; elliptic curve; rational Hodge structure; Tate's conjecture 10.2307/2154385 | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure cohomology of Shimura varieties; Schubert cycles; Hodge structures; Mumford-Tate group T. N. Venkataramana, Abelianness of Mumford-Tate groups associated to some unitary groups, Compositio Math. 122 (2000), 223--242. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure multiplicative structure; skew fields over number fields; Hasse; norm principle; algebraic group; group of rational points; quadratic forms; Skolem-Noether theorem; algebra of quaternions; class field theory; direct subgroup; Spin(f); SL(1,D); trace Platonov V P and Rapinchuk A S, Proceedings of Steklov Institute of Math. 1985, Issue 3 | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Gazaki type filtration; higher Chow groups of zero cycles; Somekakawa type \(K\)-group; étale cycle map; reciprocity map | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure cycle class map; Chow group; decomposable cycles; indecomposable cycles; product of three elliptic curves Gordon, B.B., Lewis, J.D.: Indecomposable higher Chow cycles. In: The Arithmetic and Geometry of Algebraic Cycles (Banff, AB, 1998), vol. 548, pp. 193-224. Nato Science Series C: - Mathematical and Physical Sciences, vol. 548. Kluwer Academic Publication, Dordrecht (2000) | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Bloch conjecture; Catanese surface; group of rational equivalence classes of zero-cycles of degree zero; simply connected surface of general type with \(p_ g=0\) Rebecca Barlow, Rational equivalence of zero cycles for some more surfaces with \?_{\?}=0, Invent. Math. 79 (1985), no. 2, 303 -- 308. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles; Chow groups; motives; Beauville's splitting property; multiplicative Chow-Künneth decomposition; Fano varieties of \(K3\) type | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure zero-cycles on singular varieties; Bloch's formula; relative Chow group; torsion group DOI: 10.1016/0022-4049(92)90015-8 | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure real elliptic surface; algebraic cycles; representation of homology class; first Betti number; Hodge number [17] Mangolte (F.).-- Surfaces elliptiques réelles et inégalité de Ragsdale-Viro, Math. Z. 235, p. 213-226 (2000) &MR 17 | &Zbl 0961. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure cycles of codimension 2; motivic cohomology; finiteness of second Chow group; vanishing of cohomology group Salberger, P.: Torsion cycles of codimension 2 and \ell-adic realizations of motivic cohomology. Séminaire de théorie des nombres 1991--92, 247-277 (1993) | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure rank of the Néron-Severi group; Prym varieties; intermediate Jacobian; infinitesimal variation of Hodge structure Pirola, G.P.: Base number theorem for Abelian varieties. Math. Ann.282, 361--368 (1988) | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure codimension \(r\) algebraic cycles; Griffiths group; Chow group; cycle class map; Galois cohomology; null-homologous cycles Schoen, C, On the computation of the cycle class map for nullhomologous cycles over the algebraic closure of a finite field, Ann. Sci.éc. Norm. Supér., 28, 1-50, (1995) | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure abelian motive; Tate motive; Tannakian category; polarizable rational Hodge structure; Mumford-Tate group; Shimura varieties; weight; reflex field; conjecture of Langlands and Rapaport Milne, J.S., Shimura varieties and motives, Seattle, WA, 1991, Providence | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Fundamental group; Tannakian categories; Enriched local system; Nonabelian Hodge theory; Variation of mixed Hodge structure D. Arapura, ''The Hodge theoretic fundamental group and its cohomology,'' in The Geometry of Algebraic Cycles, Providence, RI: Amer. Math. Soc., 2010, vol. 9, pp. 3-22. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure family of abelian varieties; degenerate Hodge group; Hodge cycles; heights; complex multiplication; p-adic properties of the Picard-Fuchs system of differential equations | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure zero cycles; Chow group; local-to-global principle Wittenberg, O., Zéro-cycles sur LES fibrations au-dessus d'une courbe de genre quelconque, J. Duke Math., 161, 2113-2166, (2012) | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Chow group; conic bundles over a nonsingular surface; group of codimension 2 cycles; intermediate Jacobian; Prym variety M. Beltrametti,On the Chow group and the intermediate Jacobian of the conic bundle, Annali Mat. Pura Appl.,141 (1985), pp. 331--351. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Chow group; algebraic cycles; rational equivalence; cycle map; Abel- Jacobi map; intermediate Jacobian T. Shioda, ``Algebraic cycles on hypersurfaces in \(\mathbbP^N \)'' in Algebraic Geometry (Sendai, Japan, 1985) , Adv. Stud. Pure Math. 10 , North-Holland, Amsterdam, 1987, 717--732. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure reciprocity law for surfaces over finite fields; group of degree 0 zero- cycles; rational equivalence; abelian geometric fundamental group; unramified class field theory; K-theory; Chow groups Jean-Louis Colliot-Thélène & Wayne Raskind, ``On the reciprocity law for surfaces over finite fields'', J. Fac. Sci. Univ. Tokyo Sect. IA Math.33 (1986) no. 2, p. 283-294 | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure representations of the Galois group of a local field; Dieudonné modules of zero slope; p-adic representations; Hodge-Tate decomposition Jean-Marc Fontaine, Représentations \(p\)-adiques des corps locaux. II, The Grothendieck Festschrift, Vol. II, Progr. Math. 87, Birkhäuser Boston, Boston, MA, 1990, p. 249-309 | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Hilbert scheme of cubics; generators of the Chow group; Schubert cycles; flag | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure determinantal representations of an algebraic curve; joint transfer function; meromorphic bundle map; compact Riemann surface; zero-pole structure; input bundle; Livsic-Kravitsky two-operator commutative vessel; Mittag-Leffler type interpolation theorem; state space similarity theorem; zero-pole interpolation problem Ball J. A., Vinnikov V. (1996) Zero-pole interpolation for meromorphic matrix functions on an algebraic curve and transfer functions of 2D systems. Acta Applied Mathematics 45(3): 239--316 | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure arithmetic variety; Arakelov variety; Arakelov Chow group; hard Lefschetz theorem; Hodge index theorem; algebraic cycle Y. Takeda, A relation between standard conjectures and their arithmetic analogues , Kodai Math. J. 21 (1998), 249--258. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Hodge theory in transcendental algebraic geometry; polarized variation of Hodge structure; Hodge bundles; rigidity theorem; structure theorem; removable singularity theorem; monodromy theorem; algebraization theorem; Gauß-Manin connection | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Petrowsky-Oleinik inequality; smoothing of germs of real plane curves; Harnack theorem; vanishing cycles; mixed Hodge structure | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure cohomological theory; group of cycles modulo rational equivalence; Chow group; weak Lefschetz theorem; intersections K. H. Paranjape, Cohomological and cycle-theoretic connectivity , Ann. of Math. (2) 139 (1994), no. 3, 641-660. JSTOR: | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles; Chow monoids; group completion; Nisnevich sheaves; (motivic) homotopy category; Bousfield localization; loop functor; classifying spaces; \(\mathbb A^1\)-homotopy groups Guletskiĭ, V.: A1-connectivity on Chow monoids v.s. Rational equivalence of algebraic cycles | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure abelian varieties; zero-cycles; Chow groups; birational geometry; measures of irrationality | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Hilbert theorem 90 for K2; norm residue homomorphism; roots of unity; K- cohomology groups of Severi-Brauer varieties; \(K_ 2\) of division algebras; second Chow group; cohomology classes with zero restriction A. S. Merkur'ev and A. A. Suslin, ''The norm residue homomorphism,'' Preprint LOMI, P-6-82, Leningrad (1982). | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure motivic cohomology; mixed Hodge structure; Hopf algebra; Hodge structure of Tate type; \(n\)-logarithm; \(K\)-theory; Bloch group; Aomoto dilogarithm; Euler dilogarithms Beilinson, A. A.; Goncharov, A. B.; Schechtman, V. V.; Varchenko, A. N., Aomoto dilogarithms, mixed Hodge structures and motivic cohomology of pairs of triangles on the plane, (The Grothendieck Festschrift, Vol. I, Progr. Math., vol. 86, (1990), Birkhäuser), 135-172 | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles; Chow group; spreading | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Siegel modular variety of genus two; algebraic cycles; special endomorphisms; intersection multiplicities of the cycles at isolated points; special values of derivatives of certain Eisenstein series; metaplectic group Kudla, S. S.; Rapoport, M., Cycles on Siegel threefolds and derivatives of Eisenstein series, Ann. Sci. Éc. Norm. Supér. (4), 33, 695-756, (2000) | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure fundamental group; complex varieties; rigid representation; complex variation of Hodge structure | 0 |
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