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zero cycles; Chow group of algebraic cycles; Hodge structure differential Galois theory of infinite dimension; differential fields; Lie-Ritt functor; algebraic group scheme Umemura H., Differential Galois theory of infinite dimension, Nagoya Math. J.144 (1996) 59-135. Zbl0878.12002 MR1425592
0
zero cycles; Chow group of algebraic cycles; Hodge structure indecomposable projective modules; Chow group; Grothendieck group; divisor class group of a normal projective variety
0
zero cycles; Chow group of algebraic cycles; Hodge structure rationality of quotient space; action of algebraic group; invariants of Weyl groups F. A. Bogomolov, ''The stable rationality of quotient spaces of simply connected groups'',Mat. Sb.,130, 3--17 (1986).
0
zero cycles; Chow group of algebraic cycles; Hodge structure hard Lefschetz; vector bundle; hyperplane section; algebraic cycles; Hodge conjecture; mixed Hodge theory
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic action of a finite group on complex affine space; fixed point
0
zero cycles; Chow group of algebraic cycles; Hodge structure degeneration of Hodge structure; Mumford-Tate domain; boundary component; nilpotent orbit; \(\operatorname{SL}(2)\)-orbit; mirror symmetry
0
zero cycles; Chow group of algebraic cycles; Hodge structure Milnor fibration; monodromy theorem; Kähler manifolds; quasi-projective varieties; de Rham complex; fundamental group; homology jump loci; torsion; mixed Hodge structure Budur, N.; Liu, Y.; Wang, B., The monodromy theorem for compact Kähler manifolds and smooth quasi-projective varieties, Math. Ann., 371, 3-4, 1069-1086, (2018)
0
zero cycles; Chow group of algebraic cycles; Hodge structure geometry of unipotent classes; connected reductive algebraic group; representations of Weyl groups Shoji, T., Geometry of orbits and Springer correspondence, Astérisque, 168, 61-140, (1988)
0
zero cycles; Chow group of algebraic cycles; Hodge structure simply connected simple algebraic group; algebraic number field; valuations; completion; group of K-rational points; S-arithmetic topology; S-congruence topology; congruence kernel; congruence conjecture; exceptional groups; anisotropic K-group Rapinchuk A S, On the congruence subgroup problem for algebraic groups,Dokl. Akad. Nauk. SSSR 306 (1989) 1304--1307
0
zero cycles; Chow group of algebraic cycles; Hodge structure Newtonian potentials of algebraic hypersurfaces; ramification; monodromy group; complete intersection
0
zero cycles; Chow group of algebraic cycles; Hodge structure normal functions; Hodge classes; algebraic cycles; mixed Hodge modules G. Pearlstein and Ch. Schnell, ``The zero locus of the infinitesimal invariant'' in Arithmetic and Geometry of K3 Surfaces and Calabi-Yau Threefolds , Fields Inst. Commun. 67 , Springer, New York, 2013, 589-602.
0
zero cycles; Chow group of algebraic cycles; Hodge structure variation of Hodge structure; ampleness of the canonical bundle
0
zero cycles; Chow group of algebraic cycles; Hodge structure moduli space; rank-2 stable vector bundles; fixed determinant bundle; infinitesimal deformation space; differentiable structure of algebraic surfaces; Chern class [Z2]Zuo K.,Generic smoothness of the moduli of rank two stable bundles over an algebraic surface, preprint Max-Planck-Institut (Bonn)over an algebraic surface, Math. Z.207 (1991), 629--643.
0
zero cycles; Chow group of algebraic cycles; Hodge structure representation theory; reductive algebraic groups; simple modules; highest weights; character formulas; Weyl's character formula; affine group schemes; injective modules; injective resolutions; derived functors; Hochschild cohomology groups; hyperalgebra; split reductive group schemes; Steinberg's tensor product theorem; irreducible representations; Kempf's vanishing theorem; Borel-Bott-Weil theorem; characters; linkage principle; dominant weights; filtrations; Steinberg modules; cohomology rings; rings of regular functions; Schubert schemes; line bundles; Schur algebras; quantum groups; Kazhdan-Lusztig polynomials J. C. Jantzen, \textit{Representations of Algebraic Groups. Second edition}, Amer. Math. Soc., Providence (2003).
0
zero cycles; Chow group of algebraic cycles; Hodge structure Bruhat order; algebraic group acting on an algebraic variety; maximal number of \(B\)-orbits; homogeneous spherical spaces D. A. Timashev, Generalization of the Bruhat decomposition, Russian Acad. Sci. Izv. Math. 45 (1995), pp. 339--352.
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles; Bloch-Beilinson filtration; Bloch's conjecture; Chow groups; (double) EPW cubes; hyperkähler varieties; \(K3\) surfaces; motives; multiplicative Chow-Künneth decomposition; non-symplectic involution; splitting property
0
zero cycles; Chow group of algebraic cycles; Hodge structure Hilbert's fourteenth problem; algebraic group; finite; generation of algebra of invariant functions Grosshans, F.D.: Hilbert's fourteenth problem for non-reductive groups. Math. Z.193, 95--103 (1986)
0
zero cycles; Chow group of algebraic cycles; Hodge structure symmetric monodromy groups of singularities; reflection subgroup; complete vanishing lattice; middle homology group of Milnor fibre; vanishing cycles; isolated hypersurface singularities; complete intersection singularities Ebeling W.: An arithmetic characterisation of the symmetric monodromy groups of singularities. Invent. Math. 77(1), 85--99 (1984)
0
zero cycles; Chow group of algebraic cycles; Hodge structure integral Hodge conjecture; algebraic cycles; Enriques surfaces
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic structure of complex vector bundle; rational homogeneous threefold C. Bănică and M. Putinar, On complex vector bundles on rational threefolds , Math. Proc. Cambridge Philos. Soc. 97 (1985), 279--288.
0
zero cycles; Chow group of algebraic cycles; Hodge structure Galois group of fields of rational functions on algebraic varieties over number fields; Bloch-Kato conjecture F.\ A. Bogomolov, On two conjectures in birational algebraic geometry, Algebraic geometry and analytic geometry (Tokyo 1990), ICM-90 Satell. Conf. Proc., Springer, Tokyo (1991), 26-52.
0
zero cycles; Chow group of algebraic cycles; Hodge structure simply connected algebraic group of type \(^2 A_n\); Tamagawa number Mars, J. G. M: The Tamagawa number of 2An. Ann. of math. 89 (1969)
0
zero cycles; Chow group of algebraic cycles; Hodge structure real algebraic cycles; birational equivalence; Borel-Moore; homology; graded ring of homology modulo real algebraic homology; birational invariant SCHÜLTING, H.W.: Algebraische und topologische reelle Zykeln unter birationalen Transformationen. Math. Ann.272, 441-448 (1985)
0
zero cycles; Chow group of algebraic cycles; Hodge structure topology of the Milnor fibre; monodromy for a plane curve singularity; filtration of cohomology; mixed Hodge structure Du Bois, Ph.; Michel, F.: Filtration par le poids et monodromie entière. Bull. soc. Math. France 120, 129-167 (1992)
0
zero cycles; Chow group of algebraic cycles; Hodge structure invariants of Hilbert schemes of zero-dimensional subschemes; Betti numbers; Kummer varieties; Chow ring Göttsche, L.: Hilbert schemes of zero-dimensional subschemes of smooth varieties. Lect. Notes Math. vol. 1572, Berlin Heidelberg New York: Springer 1993
0
zero cycles; Chow group of algebraic cycles; Hodge structure reductive algebraic group; algebra of invariants; dominant weight; Weyl modules; highest weight; coordinate ring; conjugation action; adjoint action; Richardson's theorem; Kostant's theorem; good filtrations S. Donkin, On conjugating representations and adjoint representations of semisimple groups, Invent. Math. 91 (1988), 137--145.
0
zero cycles; Chow group of algebraic cycles; Hodge structure Manin's identity principle; abelian variety; motives; Chow motives; algebraic cycles; Grothendieck motives 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.
0
zero cycles; Chow group of algebraic cycles; Hodge structure Frobenius manifold; Frobenius type structure; connection; unfolding; variation of filtrations; variation of Hodge structures; Calabi-Yau manifolds; hypersurface C. Hertling and Y. Manin, ``Unfoldings of meromorphic connections and a construction of Frobenius manifolds'' in Frobenius Manifolds, Aspects Math. E36, Vieweg, Wiesbaden, 2004, 113--144.
0
zero cycles; Chow group of algebraic cycles; Hodge structure projective equivariant completion; semisimple algebraic group; group of units; semisimple varieties; Semisimple algebraic monoids; polyhedral root systems; character group; maximal torus; fundamental generators L. Renner, \textit{Classification of semisimple varieties}, J. Algebra \textbf{122} (1989), no. 2, 275-287.
0
zero cycles; Chow group of algebraic cycles; Hodge structure Schubert variety; cohomology of line bundles; semisimple algebraic group; root system Paramasamy, K.: Cohomology of line bundles on Schubert varieties: the rank two case, Proc. indian acad. Sci. 114, No. 4, 345-363 (2004)
0
zero cycles; Chow group of algebraic cycles; Hodge structure cofree algebraic group; coregular algebraic group; finite dimensional representation; complex reductive algebraic group; symmetric algebra; algebra of invariants; real semisimple Lie algebra; compact analytic subgroup Nicolás Andruskiewitsch, On the complicatedness of the pair (\?,\?), Rev. Mat. Univ. Complut. Madrid 2 (1989), no. 1, 13 -- 28.
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic families of complex algebraic groups; algebraic families of Lie algebras; commuting involutions; real structure; symmetric pairs; Lie groups
0
zero cycles; Chow group of algebraic cycles; Hodge structure parabolic subgroups; simple algebraic groups; Abelian unipotent radicals; resolutions of singularities; orbit structure; irreducible representations M. Brion, \textit{Invariants et covariants des groupes algébriques réductifs}, in: \textit{Théorie des Invariants et Géometrie des Variétés Quotients}, Travaux en Cours, t. 61, Paris, Hermann, 2000, pp. 83-168.
0
zero cycles; Chow group of algebraic cycles; Hodge structure Shafarevich-Tate group; Picard groups; transcendental \(j\)-invariant; finite field; algebraic function field; elliptic curve; fibers of the Néron model; irreducible projective curve; Selmer group; embedding
0
zero cycles; Chow group of algebraic cycles; Hodge structure torsor; excellent Dedekind domain; algebraic spaces; classification of étale covering groups; isodecomposability of a group space
0
zero cycles; Chow group of algebraic cycles; Hodge structure Frobenius group; monodromy group; coverings of curves; algebraic function field
0
zero cycles; Chow group of algebraic cycles; Hodge structure Calabi-Yau manifolds; elliptic surfaces; Picard-Fuchs equation; variation of Hodge structure; Euler integral transform; special functions
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles; approximation by regular mappings; real part of a complex abelian variety Joglar-Prieto, N.; Kollár, J., Real abelian varieties with many line bundles, Bull. Lond. Math. Soc., 35, 79-84, (2003)
0
zero cycles; Chow group of algebraic cycles; Hodge structure zero-cycle; Chow group; modular curve
0
zero cycles; Chow group of algebraic cycles; Hodge structure variation of Hodge filtration; global Torelli theorem; period map; Hodge structure; Jacobian ring; infinitesimal variations Donagi, R.: Generic Torelli for projective hypersurfaces. Compositio. Math. 50, 325--353 (1983)
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebra of invariants; coisotropy representation; connected reductive algebraic group; quasi-projective homogeneous space
0
zero cycles; Chow group of algebraic cycles; Hodge structure mixed Hodge structures; equisingular family; variation; variation of mixed Hodge structure; infinitesimal period map S. Tsuboi: Cubic hyper-equisingular families of complex projective varieties. I. Proc. Japan Acad., 71A, 207-209 (1995).
0
zero cycles; Chow group of algebraic cycles; Hodge structure variation of Hodge structure; twistor structure; holonomic \(\mathcal{D}\)-module; Stokes structure; singularity
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic motives and their \(L\)-functions; local height pairings; algebraic cycles; Chow groups; mixed motives; period mapping; global height pairing; Birch-Swinnerton-Dyer-Beilinson-Bloch conjecture; critical value conjectures A. J. Scholl, ''Height pairings and special values of \(L\)-functions,'' in Motives (Seattle, WA, 1991), Proc. Sympos. Pure Math. 55, Amer. Math. Soc., Providence, 1994, 571--598.
0
zero cycles; Chow group of algebraic cycles; Hodge structure filtration of \(\ell \)-adic cohomology; mixed Hodge structure
0
zero cycles; Chow group of algebraic cycles; Hodge structure Toda equation; Higgs system; variation of Hodge structure; Riemann surface Aldrovandi, E; Falqui, G, Geometry of Higgs and Toda fields on Riemann surfaces, J. Geom. Phys., 17, 25-48, (1995)
0
zero cycles; Chow group of algebraic cycles; Hodge structure Galois descent; cohomological descent; hypercovering; simplicial space; Grothendieck's six operations; cotangent complex; first order deformation; algebraic stack; mixed Hodge theory; de Jong alteration; rigid cohomology; \(p\)-adic étale cohomology; \(p\)-adic Hodge theory; independence of \(\ell\)
0
zero cycles; Chow group of algebraic cycles; Hodge structure action of finite group on algebraic curve; differentials on algebraic curve
0
zero cycles; Chow group of algebraic cycles; Hodge structure torsion freeness of higher direct images of canonical bundles; projective morphism; divisor with only normal crossings; variation of Hodge structure DOI: 10.1007/BF01450836
0
zero cycles; Chow group of algebraic cycles; Hodge structure quotient singularities; Gorenstein singularities; canonical bundle; Gorenstein log del Pezzo surface; algebraic compactification of the affine plane; fundamental group M. Miyanishi and D.-Q. Zhang, ''Gorenstein log del Pezzo surfaces of rank one,'' J. Algebra 118(1), 63--84 (1988).
0
zero cycles; Chow group of algebraic cycles; Hodge structure Tate conjecture; Hodge conjecture; Mumford-Tate conjecture; representation of galois group; adic Tate module; abelian variety Chi, Wên Chên, \(l\)-adic and \(\lambda\)-adic representations associated to abelian varieties defined over number fields, Amer. J. Math., 114, 2, 315-353, (1992)
0
zero cycles; Chow group of algebraic cycles; Hodge structure Calabi-Yau threefold; generic deformation; Abel-Jacobi map; variation of mixed Hodge structure Voisin, C.: Sur l'application d'Abel-Jacobi des vari?t?s de Calabi-Yau de dimension trois. Ann. Sci. E.N.S., (to appear)
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic points; Tarski system; algebraic nonsingular points; definable set; o-minimal structure; analytic cell decomposition; semialgebraic points; degree of complexity
0
zero cycles; Chow group of algebraic cycles; Hodge structure Chow motive; moduli space; stable vector bundles; Poincaré-Hodge polynomial; symmetric power of a motive; \(\lambda\)-structure on a tensor category; MacDonald theorem; varieties of matrix divisors; standard conjecture of Lefschetz type; semisimplicity of Galois actions; Hodge conjecture; Tate conjecture S. del Baño, \textit{On the Chow motive of some moduli spaces}, J. Reine Angew. Math. \textbf{532} (2001), 105-132.
0
zero cycles; Chow group of algebraic cycles; Hodge structure canonical bundle formula; quasi-log canonical pair; semipositivity theorem; variation of mixed Hodge structure; subadjunction
0
zero cycles; Chow group of algebraic cycles; Hodge structure homology of the spin moduli spaces of Riemann surfaces with spin structure; Arf invariant; spin mapping class groups; fermionic string theory; Picard group; configuration of simple closed curves on a surface Harer J.L. (1990) Stability of the homology of the moduli spaces of Riemann surfaces with spin structure. Math. Ann. 287(2): 323--334
0
zero cycles; Chow group of algebraic cycles; Hodge structure Algebraic stacks; Chow rings; stack of rational curves [Ed-Fu1] D. Edidin and D. Fulghesu, The integral Chow ring of the stack of at most 1-nodal rational curves, Comm. Algebra 36 (2008), no. 2, 581--594.
0
zero cycles; Chow group of algebraic cycles; Hodge structure surfaces; elliptic curves; Teichmüller space; moduli spaces of flat tori; Veech's foliation; algebraic leaves; complex hyperbolic structure; developing map; elliptic hypergeometric integral; Fuchsian differential equations
0
zero cycles; Chow group of algebraic cycles; Hodge structure homological algebra; scheme; algebraic fundamental group; descent theory; Grothendieck topology; étale cohomology; monodromy theorem; nilpotent in the structure sheaf; Picard functor
0
zero cycles; Chow group of algebraic cycles; Hodge structure functor of cubics; algebraic group; Galois cohomology functor Berhuy, G.; Favi, G.: Essential dimension of cubics. J. algebra 278, No. 1, 199-216 (2004)
0
zero cycles; Chow group of algebraic cycles; Hodge structure vanishing cycles; mixed Hodge module; smoothing of a singularity Dimca, A., Saito, M.: Vanishing cycle sheaves of one-parameter smoothings and quasi-semistable degenerations. arXiv:0810.4896v2 (2009)
0
zero cycles; Chow group of algebraic cycles; Hodge structure derived algebraic geometry; derived stack; shifted symplectic structure; perverse sheaf; vanishing cycles; motivic invariant; Calabi-Yau manifold; Donaldson-Thomas theory BBBJ \newblock O.~Ben-Bassat, C.~Brav, V.~Bussi, and D.~Joyce. A `Darboux Theorem' for shifted symplectic structures on derived Artin stacks, with applications. \newblock \em preprint. \newblock arXiv:1312.0090.
0
zero cycles; Chow group of algebraic cycles; Hodge structure smoothness of quotient maps; semisimple algebraic group acting on a factorial Gorenstein algebra Knop, F., Über die glattheit von quotientenabbildungen, Manuscr. Math., 56, 419-427, (1986)
0
zero cycles; Chow group of algebraic cycles; Hodge structure fundamental group of the complement to plane algebraic curve; braid monodromy; labyrinth of an arrangement Dung, NV, Braid monodromy of complex lines arrangements, Kodai Math. J., 22, 46-55, (1999)
0
zero cycles; Chow group of algebraic cycles; Hodge structure plane curve singularity; filtration of the Milnor fibre; cohomology groups; filtered limit mixed Hodge structure; singular surfaces 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.
0
zero cycles; Chow group of algebraic cycles; Hodge structure integral model of algebraic group; algebraic torus; algebraic number field; Néron model; Voskresenskií model M. V. Grekhov, \textit{Integral Models of Algebraic Tori Over Fields of Algebraic Numbers}, Journal of Mathematical Sciences, 219:3 (2016), 413--426. Zbl 06676853
0
zero cycles; Chow group of algebraic cycles; Hodge structure proof of Quillen-Lichtenbaum conjecture for curves and surfaces; higher Chow groups; transfer homomorphisms; presheaf with transfers; Grothendieck topology; Nisnevich topology; triangulated category of motives; Tate motive; motivic cohomology; motivic Borel-Moore homology; sheaves of equidimensional cycles A. Suslin, Algebraic \(K\)-theory and Motivic Cohomology, Proc. International Congress of Mathematicians, Zürich 1994, vol. 1, Birkhäuser, 1995, pp. 342-351.
0
zero cycles; Chow group of algebraic cycles; Hodge structure generalized Albanese variety; modulus of a rational map; generalized mixed Hodge structure Kato, K.; Russell, H., \textit{Albanese varieties with modulus and Hodge theory}, Ann. Inst. Fourier (Grenoble), 62, 783-806, (2012)
0
zero cycles; Chow group of algebraic cycles; Hodge structure Hodge structures for singular varieties; variation of Hodge structure; nilpotent orbit theorem; limiting mixed Hodge structure; several variables \(SL_ 2\)-orbit theorem; nonlinear system of differential equations E. Cattani, A. Kaplan and W. Schmid. Degeneration of Hodge structures. \textit{Ann. Math}, (2)123 (1986), 457-535
0
zero cycles; Chow group of algebraic cycles; Hodge structure group of automorphisms of algebraic variety; group of univalent algebraic correspondences
0
zero cycles; Chow group of algebraic cycles; Hodge structure rational curves; degenerations of hypersurfaces; Hilbert scheme; Chern class; Segre class; Chow group
0
zero cycles; Chow group of algebraic cycles; Hodge structure trigonal curves; algebraic stack; stack of smooth curves; Picard group of a stack; stack of vector bundles on a conic Bolognesi, M; Vistoli, A, Stacks of trigonal curves, Trans. Am. Math. Soc., 364, 3365-3393, (2012)
0
zero cycles; Chow group of algebraic cycles; Hodge structure Lang conjecture; meet of algebraic subvariety and linear torus; linear form with algebraic coefficients; generalization of Thue-Siegel-Roth theorem; exponential diophantine equation; commutative algebraic group; finite union of subsets Laurent, M.: Exponential Diophantine equations. C. R. Acad. sci. Paris, ser. I 296, 945-947 (1983)
0
zero cycles; Chow group of algebraic cycles; Hodge structure field of characteristic zero; affine plane curves; automorphism group Daniel Daigle, On locally nilpotent derivations of \?[\?\(_{1}\),\?\(_{2}\),\?]/(\?(\?)-\?\(_{1}\)\?\(_{2}\)), J. Pure Appl. Algebra 181 (2003), no. 2-3, 181 -- 208.
0
zero cycles; Chow group of algebraic cycles; Hodge structure Abelian fundamental group; abelian unramified coverings; reciprocity; 0- dimensional Chow group; arithmetical surfaces; unramified class field theory of arithmetical surfaces Kazuya Kato & Shuji Saito, ``Unramified class field theory of arithmetical surfaces'', Ann. Math.118 (1983) no. 2, p. 241-275
0
zero cycles; Chow group of algebraic cycles; Hodge structure Gauss Manin system; Hodge filtration of the mixed Hodge structure; vanishing cohomology of an isolated singularity
0
zero cycles; Chow group of algebraic cycles; Hodge structure variation of mixed Hodge structure; mixed Hodge structure on the cohomology groups of a curve 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.
0
zero cycles; Chow group of algebraic cycles; Hodge structure stably rational; \(R\)-equivalence; classical group; equivariant \(K\)-theory; central simple algebras; Galois cohomology; fundamental group of algebraic group; cocharacters Merkurjev, A. S., \textit{K}-Theory and Algebraic Groups, Prog. Math., vol. 169, (1998), Birkhäuser Verlag Basel/Switzerland
0
zero cycles; Chow group of algebraic cycles; Hodge structure linear algebraic monoids; associative multiplications; connected linear algebraic semigroups; linear algebraic groups; group of units; regular semigroups Putcha, M. S., \textit{Linear Algebraic Monoids}, Vol. 133 of \textit{London Mathematical Society Lecture Note Series}, (1988), Cambridge University Press, Cambridge
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles; Beauville ``splitting property'' conjecture; Beauville-Voisin conjecture; Chow groups; hyperkähler varieties; Lagrangian fibrations; motives
0
zero cycles; Chow group of algebraic cycles; Hodge structure stable surface; Gorenstein stable surface; surfaces on the Noether line; algebraic surface; plane curves; surface of general type; KSBA- compactification; moduli space of stable surfaces; degeneration of mixed Hodge structures
0
zero cycles; Chow group of algebraic cycles; Hodge structure finite-dimensional vector space; class; finite group; composition series; alternative groups; groups of Lie type; simple groups; algebra of invariant polynomial functions; semisimple algebraic group; Weyl group Gordeev, N.: Coranks of elements of linear groups and the complexity of algebras of invariants. Leningrad math. J. 2, 245-267 (1991)
0
zero cycles; Chow group of algebraic cycles; Hodge structure Calabi-Yau threefold; surface of general type; geometric genus zero; fundamental group Bini, G., Favale, F.F., Neves, J., Pignatelli, R.: New examples of Calabi-Yau 3-folds and genus zero surfaces. Commun. Contemp. Math. \textbf{16}(2), 1350010 (2014). 10.1142/S0219199713500107
0
zero cycles; Chow group of algebraic cycles; Hodge structure Cohen-Macaulay property; bouquet of spheres; spherical; reduced homology; fibre space; Tits building; split building; connected reductive linear algebraic group; locally finite posets [LR] G. I. Lehrer and L. J. Rylands,The split building of a reductive group, Mathematische Annalen296 (1993), 607--624.
0
zero cycles; Chow group of algebraic cycles; Hodge structure fourfold; algebraic cycle; Chow group
0
zero cycles; Chow group of algebraic cycles; Hodge structure derived category; motivic sheaves; de Rham theory; mixed Hodge structure; Deligne cohomologies; motivic extension group; higher \(K\)-groups; absolute cohomologies A. Huber,\textit{Mixed motives and their realization in derived categories}, Lecture Notes in Mathematics\textbf{1604}, Springer-Verlag, Berlin, 1995.
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
0
zero cycles; Chow group of algebraic cycles; Hodge structure group action; stack; algebraic stack; quotient stack; moduli space of curves Matthieu Romagny, ''Group actions on stacks and applications'', Mich. Math. J.53 (2005) no. 1, p. 209-236
0
zero cycles; Chow group of algebraic cycles; Hodge structure representations of a dicrete group in \(SL_ 2({\mathbb{C}})\); actions on generalized trees; hyperbolic structures on surfaces; varieties of group representations; compactification of Teichmüller space; compactifications of real and complex algebraic varieties; affine algebraic set; valuations of the coordinate ring J. Morgan, P. Shalen. Valuations, trees, and degenerations of hyperbolic structures. I, \textit{Ann. of Math. } 120 (1984), 401--476.
0
zero cycles; Chow group of algebraic cycles; Hodge structure Higgs fields; harmonic bundle; variation of Hodge structure; mixed twistor structure; \(D\)-module Mochizuki, T.: Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twistor \(D\)-Modules I, II. Memoirs of AMS, vol. 185. American Mathematical Society, Washington (2007)
0
zero cycles; Chow group of algebraic cycles; Hodge structure Chow group; intersection theory; coarse moduli space; Q-variety; algebraic stack; Riemann-Roch Gillet, Henri, Intersection theory on algebraic stacks and {\(Q\)}-varietiesproceedings of the {L}uminy conference on algebraic {\(K\)}-theory, J. Pure Appl. Algebra, 34, 193-240, (1984)
0
zero cycles; Chow group of algebraic cycles; Hodge structure fields of real algebraic functions; reduced Whitehead group; Hasse principle; norm mapping
0
zero cycles; Chow group of algebraic cycles; Hodge structure finite dimensional rational module over a finite group scheme; finite generation of cohomology of finite group scheme; characteristic \(p\); rational representations of algebraic groups; universal extension classes; Ext-groups Friedlander, EM; Suslin, A, \textit{cohomology of finite group schemes over a field}, Invent. Math., 127, 209-270, (1997)
0
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles; additive Chow groups; relative \(K\)-theory
0
zero cycles; Chow group of algebraic cycles; Hodge structure abelian variety without complex multiplication; Hodge conjecture; Mumford-Tate conjecture; Tate conjecture on algebraic cycles S. G. Tankeev, ''Algebraic cycles on an Abelian variety with no complex multiplication'',Izv. Ross. Akad. Nauk, Ser. Mat. 58, No. 3, 103--126 (1994).
0
zero cycles; Chow group of algebraic cycles; Hodge structure cohomological Hasse principle; zeta function; Chow group; Bloch map; unramified class field theory, étale cohomology, cycle map, Milnor \(K\)-group; intersection theory; arithmetic geometry; algebraic cycle
0
zero cycles; Chow group of algebraic cycles; Hodge structure stringy Hodge numbers; E-polynomial; mixed Hodge structure; resolution of singularities
0
zero cycles; Chow group of algebraic cycles; Hodge structure exceptional Hodge class; Hodge ring; Hodge conjecture; Hodge group of abelian variety Murty, V. K., Exceptional Hodge classes on certain abelian varieties, Math. Ann., 268, 197-206, (1984)
0
zero cycles; Chow group of algebraic cycles; Hodge structure Higgs fields; harmonic bundle; variation of Hodge structure; mixed twistor structure; \(D\)-module Mochizuki, T., Asymptotic behaviour of tame harmonic bundles and an application to pure twistor \textit{D}-modules. I, Mem. Amer. Math. Soc., 185, 869, (2007), xii+324
0
zero cycles; Chow group of algebraic cycles; Hodge structure configuration of branches of an algebraic curve; Harnack theorem; number of limit cycles for a polynomial planar system; Hilbert's 16th problem
0