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zero cycles; Chow group of algebraic cycles; Hodge structure algebraic function fields; valuation; value group; rank; direct sum of n infinite cyclic groups MacLane, S. - Schilling, O.F.G.\(\,\): Zero-dimensional branches of rank 1 on algebraic varieties, Annals of Math. 40 (1939), 507-520
0
zero cycles; Chow group of algebraic cycles; Hodge structure Verma module; weight; modules of sections; theorem of Beilinson- Bernstein; algebraic group; category of \({\mathcal D}_ \lambda\)-modules Joseph, A.; Perets, G.; Polo, P.: Sur l'équivalence de catégories de Beilinson et Bernstein. CR acad. Sci. Paris sér. I 313, 705-709 (1991)
0
zero cycles; Chow group of algebraic cycles; Hodge structure copositive cone; minimal zero; facial structure; algebraic sets
0
zero cycles; Chow group of algebraic cycles; Hodge structure formal characters of torus; connected, reductive algebraic group; Borel subgroup; character group; Hochschild cohomology; Weyl's character formula; Kostant's multiplicity formula; Steinberg's tensor product formula
0
zero cycles; Chow group of algebraic cycles; Hodge structure integral points on algebraic curves; rational point; Jacobian; linear form of logarithms; Mordell-Weil group; height Hirata-Kohno N. , Une relation entre les points entiers sur une courbe algébrique et les points rationnels de la jacobienne , in: Advances in Number Theory , Kingston, ON, 1991 , Oxford University Press , New York , 1993 , pp. 421 - 433 . MR 1368438 | Zbl 0805.14009
0
zero cycles; Chow group of algebraic cycles; Hodge structure deformation theory; finite group schemes; abelian varieties; Newton polygons; automorphisms of algebraic curves
0
zero cycles; Chow group of algebraic cycles; Hodge structure representations of quiver; construction of the category of perverse sheaves; closed stratum; middle perversity; barycentric subdivision; intersection homology; perverse link bundle; monodromy; Borel subgroups; reductive complex algebraic group MacPherson, R.; Vilonen, K., Elementary construction of perverse sheaves, \textit{Invent. Math.}, 84, 403-435, (1986)
0
zero cycles; Chow group of algebraic cycles; Hodge structure infinite group of skew symmetries; real algebraic hypersurfaces; projective space; collineations V. F. Ignatenko, ''On an infinite group of skew symmetries,''Izv. Vuzov. Mat., No. 3, 32--34 (1994).
0
zero cycles; Chow group of algebraic cycles; Hodge structure central group extensions; Euler class; moduli spaces of genus zero stable curves; Neretin's group of spheromorphisms; operads; quasi-braid groups; stabilization; Stasheff associahedron; Thompson's group C. Kapoudjian, From symmetries of the modular tower of genus zero real stable curves to an Euler class for the dyadic circle, math.GR/0006055.
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles; algebraic groups; group scheme; local fields
0
zero cycles; Chow group of algebraic cycles; Hodge structure 2-dimensional Cremona group; algebraic automorphism; automorphism of the rational function field; birational automorphisms D. Wright, Two-dimensional Cremona groups acting on simplicial complexes, Trans. Amer. Math. Soc. 331 (1992), no. 1, 281--300.
0
zero cycles; Chow group of algebraic cycles; Hodge structure Mumford-Tate groups; Hodge-Tate p-adic representation of the Galois group; root systems; reductive group; field of definition; weights J. Wintenberger, ''Groupes algébriques associés à certaines representations \(p\)-adiques,'' Amer. J. Math., vol. 108, iss. 6, pp. 1425-1466, 1986.
0
zero cycles; Chow group of algebraic cycles; Hodge structure quantum algebra of functions; semisimple algebraic group; Schubert variety; basis; gradations V. Lakshmibai and N. Reshetikhin. ''Quantum flag and Schubert schemes''. Deformation Theory and Quantum Groups with Applications to Mathematical Physics. Contemp. Math., Vol. 134. American Mathematical Society, 1992, pp. 145--181.
0
zero cycles; Chow group of algebraic cycles; Hodge structure linearization; morphisms of algebraic stacks; Picard group; torsors; moduli stack on an algebraic curve Laszlo Y., Linearization of group stack actions and the Picard group of the moduli of SLr/{\(\mu\)}s-bundles on a curve, Bull. Soc. Math. France, 1997, 125(4), 529--545
0
zero cycles; Chow group of algebraic cycles; Hodge structure triviality of Abel-Jacobi map; Noether-Lefschetz locus; codimension one subvarieties; algebraic 1-cycles; intermediate Jacobian Green, M.: Griffiths' infinitesimal invariant and the Abel-Jacobi map. J. Differ. Geom. 29, 545--555 (1989)
0
zero cycles; Chow group of algebraic cycles; Hodge structure L\({}_ 2\)-cohomology; variation of Hodge structure; mixed Hodge structure; nilpotent orbit theorem; period maps; intersection cohomology; purity E. Cattani and A. Kaplan, Degenerating variations of Hodge structure, Actes du colloque de théorie de Hodge (Luminy 1987), Astérisque 179/180, Société Mathématique de France, Paris (1989), 67-96.
0
zero cycles; Chow group of algebraic cycles; Hodge structure D-module; Kazhdan-Lusztig conjecture; representation theory of semisimple Lie groups; Hecke algebra; Weyl group; Hodge modules Tanisaki, T.: Representations of semisimple Lie groups and D-modules. Sugaku Exposi- tions 4, 43-61 (1991)
0
zero cycles; Chow group of algebraic cycles; Hodge structure theory of motives; algebraic fundamental groups; moduli spaces; anabelian varieties; birational geometry; Galois group actions Grothendieck A., Brief an Faltings (27/06/1983), Geometric Galois action 1 (Luminy 1995), London Math. Soc. Lecture Note Ser. 242, Cambridge University Press, Cambridge (1997), 49-58.
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles; Chow groups; motives; Voisin conjecture; Kimura finite-dimensionality conjecture
0
zero cycles; Chow group of algebraic cycles; Hodge structure complex tori; hyperelliptic manifolds; Bagnera-De Franchis manifolds; Hodge structures; cyclic coverings; group algebra; factorial rings; cyclotomic rings; resultants of cyclotomic polynomials; fundamental groups
0
zero cycles; Chow group of algebraic cycles; Hodge structure field of definition; algebraic number field; Shimura variety; toroidal compactifications; modular form; rigidity; action of an arithmetic group G. Faltings, Arithmetic varieties and rigidity, Seminar on number theory (Paris 1982/1983), Progr. Math. 51, Birkhäuser, Boston (1984), 63-77.
0
zero cycles; Chow group of algebraic cycles; Hodge structure exterior algebra; divided power algebra; polynomial representations of the algebraic group scheme; hyperalgebra; representation theory Akin, K.: Extensions of symmetric tensors by alternating tensors. J. algebra 121, 358-363 (1989)
0
zero cycles; Chow group of algebraic cycles; Hodge structure Johnson homomorphism; Torelli group; mapping class group; Goldman bracket; Turaev cobracket; mixed Hodge structure; survey
0
zero cycles; Chow group of algebraic cycles; Hodge structure Picard group; free abelian monoid; seminormal ring; Mayer-Vietoris sequence of algebraic K-theory [Lantz] Lantz, D.: On the Picard group of an abelian group ring, Group and Semigroup Rings. N. Holland Math. Studies Vol. 126, Amsterdam, 1986
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic groups; deformation theory; finite flat group schemes; geometric invariant theory; \(p\)-adic Hodge theory
0
zero cycles; Chow group of algebraic cycles; Hodge structure singularities; finite determinacy; positive characteristic; algebraic group action; inseparable orbit action; specialization of power series; complete intersections
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles; Chow ring; motives; Beauville `splitting property'
0
zero cycles; Chow group of algebraic cycles; Hodge structure base loci; algebraic cycles; positivity of cycles
0
zero cycles; Chow group of algebraic cycles; Hodge structure Torino (Italy); Lectures; Algebraic cycles; Hodge theory; CIME (Torino) A. Albano and F. Bardelli,Algebraic Cycles and Hodge Theory, Lecture Notes in Mathematics1594, Springer-Verlag, Berlin-Heidelberg, 1994.
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles; Chow groups; motives; finite-dimensional motives; cubics; Bloch conjecture; smash-nilpotence conjecture; Murre's conjectures Laterveer, R.: Algebraic cycles on Fano varieties of some cubics, submitted
0
zero cycles; Chow group of algebraic cycles; Hodge structure finite number of generators; variety of characters of \(n\)-dimensional representations; group of finite width; arithmetic subgroups; algebraic number field; simply connected algebraic group; Zariski-dense \(S\)- arithmetic subgroup; subgroups of finite index Rapinchuk, A. S.: Representations of groups of finite width. Dokl. akad. Nauk SSSR 315, 536-540 (1990)
0
zero cycles; Chow group of algebraic cycles; Hodge structure non-isolated singularity; Milnor number; codimension of the Jacobian ideal; de Rham complex; constructible sheaves of vanishing cycles; Hodge filtration M. Kapranov, On DG-modules over the de Rham complex and the vanishing cycles functor, Algebraic geometry (Chicago, 1989), Lect. Notes in Math. 1479, Springer, 1991, p. 57-86
0
zero cycles; Chow group of algebraic cycles; Hodge structure Tannaka-Krein theorem; nonabelian cohomology; Tannakian category; motives; conjectures on algebraic cycles; torsor; bitorsor cocycle; stack; neutral Tannakian categories; algebraic group scheme; bitorsor; gerbe L. BREEN, Tannakian categories, in: Motives, Proc. Symposia pure Math., 55 (I), AMS (1994), pp. 337-376. Zbl0810.18008 MR1265536
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles; Chow groups; intersection product; finite-dimensional motives; Bloch-Beilinson conjectures Laterveer, R.: On a multiplicative version of Bloch's conjecture. Beiträge zur Algebra und Geometrie
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles; real algebraic surfaces; real Enriques surfaces; Galois-maximality; Brauer group Frédéric Mangolte and Joost van Hamel, Algebraic cycles and topology of real Enriques surfaces, Compositio Math. 110 (1998), no. 2, 215 -- 237.
0
zero cycles; Chow group of algebraic cycles; Hodge structure Bibliography; \(L_ 2\)-cohomology; \(\mathbb{D}\)-modules; Beilinson cohomology; regulator maps; Grothendieck motives; degeneration of Hodge structures; intersection homology; Riemann-Hilbert correspondence; Deligne cohomology; variation of mixed Hodge structure; Higgs bundles Brylinski, J.-L., Zucker, S.: An overview of recent advances in Hodge theory. In: Several Complex Variables VI. Encyclopedia Math. Sci., vol. 69, pp. 39--142. Springer, Berlin (1990)
0
zero cycles; Chow group of algebraic cycles; Hodge structure lifting of torsors; finite flat group scheme; algebraic curve; cotangent complex
0
zero cycles; Chow group of algebraic cycles; Hodge structure semisimple symmetric spaces of Chevalley groups; semisimple algebraic group; non-Riemannian symmetric space; Eisenstein series; functional equations; zeta functions for prehomogeneous vector spaces F. SATO, Eisenstein series on semisimple symmetric spaces of Chevalley groups, Advanced Studie in Pure Math. 7, Automorphic Forms and Number Theory, (I. Satake, ed.), Kinokuniya, Tokyo, 1985, 295-332.
0
zero cycles; Chow group of algebraic cycles; Hodge structure Galois wildly ramified covers of the projective line; characteristic p; monodromy; branch cycles; supersingular p-covers; fundamental group
0
zero cycles; Chow group of algebraic cycles; Hodge structure automorphism groups of algebraic function fields; realization of group as Galois group; Galois theory
0
zero cycles; Chow group of algebraic cycles; Hodge structure Grothendieck groups; torsion subgroup of the Chow group
0
zero cycles; Chow group of algebraic cycles; Hodge structure finite ground fields; Tate conjecture on algebraic cycles; powers of an ordinary K3 surface; Galois action; Tate classes Yu. G. Zarhin, The Tate conjecture for powers of ordinary \(K3\) surfaces over finite fields , in preparation.
0
zero cycles; Chow group of algebraic cycles; Hodge structure Zariski problem; homotopy type of the complement to an algebraic curve; fundamental group A.Libgober, ``On the homotopy type of the complement to plane algebraic curves.'' J. Reine Angew. Math. 367 (1986): 103--114.
0
zero cycles; Chow group of algebraic cycles; Hodge structure Tate conjecture; compactification of Hilbert-Blumenthal surface; L- function; algebraic cycles; Hirzebruch-Zagier cycles Harder, G.; Langlands, R. P.; Rapoport, M., Algebraische Zyklen auf Hilbert-Blumenthal-Flächen, J. Reine Angew. Math., 0075-4102, 366, 53-120, (1986)
0
zero cycles; Chow group of algebraic cycles; Hodge structure dimension of real algebraic homology group; real algebraic variety; Zariski closed real algebraic hypersurfaces; Albanese variety; endomorphisms; complex elliptic curve; jacobian variety Bochnak J., Kucharz W.: Real algebraic hypersurfaces in complex projective varieties. Math. Ann. 301, 381--397 (1995)
0
zero cycles; Chow group of algebraic cycles; Hodge structure narrow Mordell-Weil lattice; group of rational points on an elliptic curve; Weyl groups as Galois groups; Mordell-Weil lattices; sphere packing; algebraic equations; inverse Galois problem; Kodaira-Néron model; height pairing; Néron-Severi group; rational elliptic surface
0
zero cycles; Chow group of algebraic cycles; Hodge structure automorphic forms; Hodge theory; arithmetic subgroup of special linear 2- group; cusps; cusp cohomology; Eisenstein series; Fourier-Eisenstein transform W. CASSELMAN , Automorphic forms and a Hodge theory for congruence subgroups of SL2(\Bbb Z) In (Lie group representations II, Vol. 1041 of Lecture Notes in Mathematics, pp. 103-140. Springer, 1984 ). MR 86f:22012 | Zbl 0534.32014
0
zero cycles; Chow group of algebraic cycles; Hodge structure Hodge theory; Albanese variety; Kähler manifold; moduli of algebraic surfaces; deformations; irrational pencils Catanese, F, Moduli and classification of irregular Kähler manifolds (and algebraic varieties) with Albanese general type fibrations, Invent. Math., 104, 263-289, (1991)
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic fundamental group; surfaces of general type; Campedelli surfaces Ciliberto, C., Mendes Lopes, M., Pardini, R.: Surfaces with \(K^2<3\chi \) and finite fundamental group. Math. Res. Lett. \textbf{14}(6), 1069-1086 (2007)
0
zero cycles; Chow group of algebraic cycles; Hodge structure invariants of finite group; inverse problem of Galois theory; Noether's problem; function field of a torus; Algebraic Tori; rational points of tori Swan, R. G.: Noether's problems in Galois theory. Symposium ''emmy Noether in bryn mawr'' (1983)
0
zero cycles; Chow group of algebraic cycles; Hodge structure degeneracy locus of symmetric bundle maps; determinantal variety; variation of weight one Hodge structure; families of genus g curves Joe Harris & Loring W. Tu, ``On symmetric and skew-symmetric determinantal varieties'', Topology23 (1984) no. 1, p. 71-84
0
zero cycles; Chow group of algebraic cycles; Hodge structure characteristic classes; characteristic number; genus; singular space; motivic; additivity; Riemann-Roch; Grothendieck group; cobordism group; Hodge structure; mixed Hodge module Brasselet, J-P; Schürmann, J.; Yokura, S., Hirzebruch classes and motivic Chern classes for singular spaces, J. Topol. Anal., 2, 1-55, (2010)
0
zero cycles; Chow group of algebraic cycles; Hodge structure semi-simple, simply connected algebraic group; maximal torus; Borel subgroup; sheaf cohomology module; line bundle; dominant character; dual Weyl module; highest weight; socle series; irreducible modules; lattice of submodules DOI: 10.1016/0021-8693(85)90040-7
0
zero cycles; Chow group of algebraic cycles; Hodge structure tautological class; intersection product; moduli space of stable curves; generators for the Chow group; rank of the homology group Edidin, D, The codimension-two homology of the moduli space of stable curves is algebraic, Duke Math. J., 67, 241-272, (1992)
0
zero cycles; Chow group of algebraic cycles; Hodge structure variation of Hodge structure; relative dualizing sheaf; semiampleness Catanese, F.; Dettweiler, M., \textit{answer to a question by Fujita on variation of Hodge structures}, Higher Dimensional Algebraic Geometry: In Honor of Professor Yujiro Kawamata's 60th Birthday, vol. 74, 73-102, (2017), Kinokuniya, Tokyo
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles; Chow groups; motives; Calabi-Yau varieties; derived equivalence
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic fundamental group; stack inertia; special loci; good groups; absolute Galois group; moduli space of algebraic curves; branched covering Benjamin Collas & Sylvain Maugeais, ''Composantes irréductibles de lieux spéciaux d ?espaces de modules de courbes, action galoisienne en genre quelconque'', Ann. Inst. Fourier 65 (2015) no. 1, p. 245-276
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic group; homogeneous space; algebra of invariants Avdeev, R.S.: Extended weight semigroups of affine spherical homogeneous spaces of non-simple semisimple algebraic groups. Izv. Math. \textbf{74}(6), 1103-1126 (2010), see also arXiv:1012.0132 [math.RT]
0
zero cycles; Chow group of algebraic cycles; Hodge structure hyperKähler manifold; orbifold; representation of fundamental group; E-polynomial; Hodge polynomial; Hitchin map; SYZ fibration; mirror partner; stringy mixed Hodge polynomials; mirror symmetry; Langlands duality Hausel, T.; Thaddeus, M.: Examples of mirror partners arising from integrable systems. C. R. Acad. sci. Paris sér. I math. 333, No. 4, 313-318 (2001)
0
zero cycles; Chow group of algebraic cycles; Hodge structure Galois group; resolution of singularities; local fundamental groups of algebraic varieties Abhyankar S S, Local fundamental groups of algebraic varieties,Proc. Am. Math. Soc. 125 (1997) 1635--1641
0
zero cycles; Chow group of algebraic cycles; Hodge structure vanishing cycle sheaf; purity of mixed Hodge structure; cluster algebra; quantum cluster positivity Davison, Ben; Maulik, Davesh; Schürmann, Jörg; Szendrői, Balázs, Purity for graded potentials and quantum cluster positivity, Compositio Mathematica, 151, 1913-1944, (2015)
0
zero cycles; Chow group of algebraic cycles; Hodge structure homogeneous cover; ring of regular functions; simply connected semisimple complex Lie group; Lie algebra; nilpotent adjoint \(G\)-orbit; Poisson structure; semisimple Lie algebra; Heisenberg Lie algebra; minimal nilpotent orbit; flag varieties; group of holomorphic automorphisms R. Brylinski and B. Kostant, \textit{Nilpotent orbits, normality, and Hamiltonian group actions}, \textit{J. Am. Math. Soc.}\textbf{7} (1994) 269 [math/9204227].
0
zero cycles; Chow group of algebraic cycles; Hodge structure finiteness of group of automorphisms; non-ruled algebraic surface; minimal model Jelonek, Z, The group of automorphisms of an affine non-uniruled surface, Univ. Iaegel. Acta Math., 32, 65-68, (1995)
0
zero cycles; Chow group of algebraic cycles; Hodge structure stable sheaf on variety of dimension bigger than one; complete intersection curve; stable bundle with zero Chern classes; irreducible unitary representation of fundamental group V.B. Mehta and A. Ramanathan, Restriction of stable sheaves and representations of the fundamental group. Inv. Math. 77 (1984), pp. 163--172.
0
zero cycles; Chow group of algebraic cycles; Hodge structure parametrization; equivalent meromorphic mappings; modification; space of cycles; Kodaira map; rigidity; algebraic reduction
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic function fields; holomorphic semisimple differentials; p- extensions of \({\mathbb{Z}}_ pfields\) of CM-type; p-class group G. Villa and M. Madan,Structure of semisimple differentials and p-class groups in \(\mathbb{Z}\) p -extensions. Manuscripta Mathematica57 (1987), 315--350.
0
zero cycles; Chow group of algebraic cycles; Hodge structure Hodge structure; Shimura variety; special subvarieties; Hodge structure of CM-type; $K3$-surface; surface of general type; domination by products of curves
0
zero cycles; Chow group of algebraic cycles; Hodge structure reductive algebraic group schemes; tilting modules; good filtrations; support varieties; cells of affine Weyl groups; nilpotent orbits Cooper, B. J., On the support varieties of tilting modules, J. Pure Appl. Algebra, 214, 1907-1921, (2010)
0
zero cycles; Chow group of algebraic cycles; Hodge structure Hurwitz inequality; coverings of curves; bounds for order of abelian subgroups of automorphism group of algebraic curve; characteristic p S. Nakajima,On abelian automorphism groups of algebraic curves, Journal of the London Mathematical Society (2)36 (1987), 23--32.
0
zero cycles; Chow group of algebraic cycles; Hodge structure affine curve; algebraic connection on the trivial bundle; Riemann-Hilbert correspondence; representation of the fundamental group; prescribed monodromy
0
zero cycles; Chow group of algebraic cycles; Hodge structure action of parabolic subgroups; connected reductive algebraic group; algebraic groups with involutions; symmetric varieties; Cartan involution; real reductive groups; orbits of symmetric varieties A. G. Helminck, On groups with a Cartan involution, Proceedings of the Hyderabad Conference on Algebraic Groups (Hyderabad, 1989) Manoj Prakashan, Madras, 1991, pp. 151 -- 192.
0
zero cycles; Chow group of algebraic cycles; Hodge structure torsion points of Jacobians; algebraic fundamental group; \(\ell \)-adic representation; irreducibility of moduli spaces of curves; monodromy T. Ekedahl , The action of monodromy on torsion points of Jacobians. Arithmetic algebraic geometry (Texel, 1989) . Birkhäuser Boston ( 1991 ), 41 - 49 . MR 1085255 | Zbl 0728.14028
0
zero cycles; Chow group of algebraic cycles; Hodge structure rationality of quotient space; action of algebraic group; invariants of Weyl groups Bogomolov, F.A.: The stable rationality of quotient spaces for simply connected groups. Math. USSR Sb.58, 1-14 (1987)
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles; Bloch conjecture; generalized Hodge conjecture C. Voisin, The generalized Hodge and Bloch conjectures are equivalent for general complete intersections, Ann. Sci. Éc. Norm. Supér. (4) 46 (2013), 449--475.
0
zero cycles; Chow group of algebraic cycles; Hodge structure modular functions; automorphic functions; complex multiplication; abelian extensions; class field theory; elliptic functions; rings of algebraic integers; cyclotomic fields; abelian resolvents; Galois module structure; formal groups; Kroneckers Jugendtraum Cassou-Noguès, Ph.; Taylor, M. J., Elliptic Functions and Rings of Integers, Progr. Math., vol. 66, (1987), Birkhäuser Boston, Inc.: Birkhäuser Boston, Inc. Boston, MA
0
zero cycles; Chow group of algebraic cycles; Hodge structure factorial terminal singularities; quasihomogeneous 3-folds; action of algebraic group; projective threefold; minimal model theory; extremal ray; flips S. Kebekus, Relatively minimal quasihomogeneous projective 3-folds, Nagoya Math. J., 157 (2000), 149--176.
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles; correspondences; Chow motives; Jacobian
0
zero cycles; Chow group of algebraic cycles; Hodge structure noncylindrical algebraic surface; infinite group of symmetries; skew reflection
0
zero cycles; Chow group of algebraic cycles; Hodge structure topological invariants of algebraic varieties; homology groups; fundamental groups; Alexander polynomials; Hodge structures; Whitney stratifications; plane curve and normal surface singularities; Milnor fibration; lattice for an isolated hypersurface singularity; integral bilinear forms; weighted projective varieties; mixed Hodge structures; hypersurface complements; cohomology of complete intersections A. Dimca, ''Singularities and Topology of Hypersurfaces'', Universitext, Springer-Verlag, New York, 1992. DOI: 10.1007/978-1-4612-4404-2
0
zero cycles; Chow group of algebraic cycles; Hodge structure Nonsingular complete intersections; period map; weak global Torelli problem; infinitesimal variation of Hodge structure T. Terasoma, Infinitesimal variation of Hodge structures and the weak global Torelli theorem for complete intersections , Ann. of Math. (2) 132 (1990), no. 2, 213-235. JSTOR:
0
zero cycles; Chow group of algebraic cycles; Hodge structure two dimensional global fields; algebraic function field in one; variable over algebraic number field; Galois cohomology group; \(H^ 3\); Hasse principles; local-global principles; reduced norms; division algebras; quadratic forms; sum of squares K.~Kato, {A {H}asse principle for two dimensional global fields. With an appendix by {J}.-{L} {C}olliot-{T}hélène.}, J. Reine Angew. Math. {366} (1986), 142--180. DOI 10.1515/crll.1986.366.142; zbl 0576.12012; MR0833016
0
zero cycles; Chow group of algebraic cycles; Hodge structure Fourier-Mukai transform; moduli space of bundles; algebraic curves; Picard group M. Narasimhan, Derived categories of moduli spaces of vector bundles on curves, J. Geom. Phys., 122, 53-58, (2017)
0
zero cycles; Chow group of algebraic cycles; Hodge structure string compactification; \(F\)-theory; Calabi-Yau; elliptic fibration; semi-stable degeneration; smoothing; variation of Hodge structure R. Donagi, S. Katz and M. Wijnholt, \textit{Weak Coupling, Degeneration and Log Calabi-Yau Spaces}, arXiv:1212.0553 [INSPIRE].
0
zero cycles; Chow group of algebraic cycles; Hodge structure variation of Hodge structure; infinitesimal period relation (Griffiths' transversality); characteristic cohomology; flag domain Robles, C., Characteristic cohomology of the infinitesimal period relation, Asian J. math., 20, 4, 725-758, (2016)
0
zero cycles; Chow group of algebraic cycles; Hodge structure Algebraic tori; R-equivalence; zero-cycles Alexander Merkurjev, \?-equivalence on three-dimensional tori and zero-cycles, Algebra Number Theory 2 (2008), no. 1, 69 -- 89.
0
zero cycles; Chow group of algebraic cycles; Hodge structure variations of mixed Hodge structure; Hodge realization of the motivic cohomology; mixed Tate motives; motivic cohomology Richard M. Hain, Algebraic cycles and extensions of variations of mixed Hodge structure, Complex geometry and Lie theory (Sundance, UT, 1989) Proc. Sympos. Pure Math., vol. 53, Amer. Math. Soc., Providence, RI, 1991, pp. 175 -- 221.
0
zero cycles; Chow group of algebraic cycles; Hodge structure Calabi-Yau threefolds; unipotent monodromy; variation of the Hodge structure; Picard-Fuchs differential equation; K3 surfaces; elliptic curves; product of a \(K3\) surface and an elliptic curve Garbagnati, A, New families of Calabi-Yau threefolds without maximal unipotent monodromy, Manuscripta Math., 140, 273-294, (2013)
0
zero cycles; Chow group of algebraic cycles; Hodge structure second Lefschetz theorem; vanishing cycles; pencils of hyperplane sections; fundamental group of the complement of a plane projective curve D. Chéniot, Vanishing cycles in a pencil of hyperplane sections of a non-singular quasi-projective variety, Proc. London Math. Soc. (3) 72 (1996), no. 3, 515 -- 544.
0
zero cycles; Chow group of algebraic cycles; Hodge structure family of vector fields; algebraic polycycle; limit cycles; cyclicity A. Jacquemard, F. Z. Khechichine-Mourtada, and A. Mourtada, Algorithmes formels appliqués à l'étude de la cyclicité d'un polycycle algébrique générique à quatre sommets hyperboliques, Nonlinearity 10 (1997), no. 1, 19 -- 53 (French, with English and French summaries).
0
zero cycles; Chow group of algebraic cycles; Hodge structure minimal surface of general type; infinitesimal Torelli problem; Hodge structure; Kuranishi family REIDER, I.: On the Infinitesimal Torelli Theorem for Certrain Irregular Surfaces of general type (to appear in Mat. Ann.)
0
zero cycles; Chow group of algebraic cycles; Hodge structure p-divisible groups; p-adic representations; endomorphisms of the Tate module; algebraic group
0
zero cycles; Chow group of algebraic cycles; Hodge structure Hodge bundles; degenerations; \(L^2\)-metric; Quillen metric; BCOV metric; log-canonical threshold; degeneracy index; limit Hodge structure; Milnor number; vanishing cycles; Calabi-Yau varieties; Kulikov families; mirror symmetry
0
zero cycles; Chow group of algebraic cycles; Hodge structure moduli space of curves; algebraic group actions; Hilbert's fourteenth problem; stability; toric varieties Dolgachev, I. V., Introduction to geometric invariant theory, Lecture Notes Series, vol. 25, (1994), Seoul National University, Research Institute of Mathematics, Global Analysis Research Center Seoul
0
zero cycles; Chow group of algebraic cycles; Hodge structure sofic group; group ring; Kaplansky's conjectures; direct finiteness; symbolic variety; algebraic cellular automaton; surjunctivity; invertibility; garden of Eden theorem
0
zero cycles; Chow group of algebraic cycles; Hodge structure Witten-Dijkgraaf-H. Verlinde-E. Verlinde; Gromov-Witten potential; Calabi-Yau manifold; variation of Hodge structure
0
zero cycles; Chow group of algebraic cycles; Hodge structure \(p\)-adic Hodge theory; degeneration of \(p\)-adic Hodge structure; partial compactifications of \(p\)-adic period domains Kato, K, P-adic period domains and toroidal partial compactifications, I, Kyoto J. Math., 51, 561-631, (2011)
0
zero cycles; Chow group of algebraic cycles; Hodge structure Hodge structures; variation of Hodge structure; hypersurfaces; Torelli theorem
0
zero cycles; Chow group of algebraic cycles; Hodge structure Weil representations; cubic hypersurfaces; irreducible subgroups; cubic invariants; automorphism groups; subgroups of \(\text{PSL}_ n(\mathbb{C})\); cyclic extensions of groups; classical groups; smallest Suzuki group; complex algebraic groups Adler, P. A.; Adler, P.: Observational techniques. Handbook of qualitative research (1994)
0
zero cycles; Chow group of algebraic cycles; Hodge structure action of unipotent algebraic group
0
zero cycles; Chow group of algebraic cycles; Hodge structure triangulated category; derived cateogry; Grothendieck group; affine scheme; algebraic variety; perfect complexes; tensor subcategories; higher-dimensional Cartier cycles R. W. Thomason, The classification of triangulated subcategories. \textit{Compositio Math.} 105 (1997), no. 1, 1--27.MR 1436741 Zbl 0873.18003
0