Chow Rings, Decomposition of the Diagonal, and the Topology of Families

DOI10.1515/9781400850532zbMath1288.14001OpenAlexW4300125966MaRDI QIDQ5402157

Publication date: 6 March 2014

Full work available at URL: https://doi.org/10.1515/9781400850532

Chow rings decomposition of the diagonal and the topology of families

Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Algebraic cycles (14C25) (Equivariant) Chow groups and rings; motives (14C15)

Related Items (87)

On a multiplicative version of Mumford's theorem ⋮ Motives and the Pfaffian–Grassmannian equivalence ⋮ Some Calabi-Yau fourfolds verifying Voisin's conjecture ⋮ On Voisin's conjecture for zero-cycles on hyperkaehler varieties ⋮ On product identities and the Chow rings of holomorphic symplectic varieties ⋮ On Chow groups of some hyperkähler fourfolds with a non-symplectic involution. II ⋮ A family of \(K3\) surfaces having finite-dimensional motive ⋮ On the Chow ring of some Lagrangian fibrations ⋮ The motive of the Fano surface of lines ⋮ A remark on the motive of certain moduli spaces on \(K3\) surfaces ⋮ Some desultory remarks concerning algebraic cycles and Calabi-Yau threefolds ⋮ On a multiplicative version of Bloch's conjecture ⋮ ON THE CHOW RING OF CERTAIN LEHN–LEHN–SORGER–VAN STRATEN EIGHTFOLDS ⋮ Stable cohomology of the perfect cone toroidal compactification of \(\mathcal{A}_g\) ⋮ Some results on a conjecture of Voisin for surfaces of geometric genus one ⋮ A remark on the motive of the Fano variety of lines of a cubic ⋮ On the motive of codimension 2 linear sections of \(\operatorname{Gr}(3,6)\) ⋮ On the Chow ring of some special Calabi–Yau varieties ⋮ The double ramification cycle and the theta divisor ⋮ Bloch's conjecture for Enriques varieties ⋮ On the Chow groups of certain cubic fourfolds ⋮ New cubic fourfolds with odd-degree unirational parametrizations ⋮ On the Chow groups of Plücker hypersurfaces in Grassmannians ⋮ Algebraic cycles on Fano varieties of some cubics ⋮ Rational curves on complete intersections in positive characteristic ⋮ Algebraic cycles and intersections of three quadrics ⋮ Unramified cohomology, integral coniveau filtration and Griffiths groups ⋮ On the tautological ring of Humbert curves ⋮ Measures of irrationality for hypersurfaces of large degree ⋮ Some cubics with finite-dimensional motive ⋮ Smooth surfaces in smooth fourfolds with vanishing first Chern class ⋮ Some elementary examples of quartics with finite-dimensional motive ⋮ Surjectivity of cycle maps for singular varieties ⋮ Some new Fano varieties with a multiplicative Chow-Künneth decomposition ⋮ Some motivic properties of Gushel–Mukai sixfolds ⋮ On Abel-Jacobi maps of Lagrangian families ⋮ Birational geometry of the intermediate Jacobian fibration of a cubic fourfold (appendix by Claire Voisin) ⋮ On the Chow ring of certain Fano fourfolds ⋮ Nef cones of fiber products and an application to the cone conjecture ⋮ The Fourier Transform for Certain HyperKähler Fourfolds ⋮ Algebraic rational cells and equivariant intersection theory ⋮ SOME NEW EXAMPLES OF SMASH-NILPOTENT ALGEBRAIC CYCLES ⋮ Algebraic cycles and Beauville's involution ⋮ On the Chow ring of Fano varieties of type \(S2\) ⋮ A family of cubic fourfolds with finite-dimensional motive ⋮ Algebraic cycles on certain hyperkähler fourfolds with an order 3 non-symplectic automorphism II ⋮ Cell decompositions and algebraicity of cohomology for quiver Grassmannians ⋮ On the Chow groups of some hyperkähler fourfolds with a non-symplectic involution ⋮ The zero section of the universal semiabelian variety and the double ramification cycle ⋮ Algebraic cycles and Gushel-Mukai fivefolds ⋮ Algebraic cycles and Verra fourfolds ⋮ Measures of irrationality of the Fano surface of a cubic threefold ⋮ A remark on Beauville's splitting property ⋮ Maximal Chow constant and cohomologically constant fibrations ⋮ Stably \(\mathbb{A}^1\)-connected varieties and universal \(\mathrm{CH}_{0}\) ⋮ Correspondences and singular varieties ⋮ Zero-cycles on Cancian-Frapporti surfaces ⋮ Singularities of elliptic curves in \(K3\) surfaces and the Beauville-Voisin zero-cycle ⋮ Yet another version of Mumford's theorem ⋮ On the integral Hodge conjecture for real varieties. I ⋮ 2-cycles on the cubic hypersurfaces of dimension 5 ⋮ The generalized Franchetta conjecture for some hyper-Kähler varieties ⋮ The generalized Franchetta conjecture for some hyperkähler fourfolds ⋮ Hypersurfaces that are not stably rational ⋮ Algebraic cycles and Todorov surfaces ⋮ Multiplicative Chow-Künneth decompositions and varieties of cohomological \(K3\) type ⋮ Zero-cycles on self-products of varieties: some elementary examples verifying Voisin's conjecture ⋮ A short note on the weak Lefschetz property for Chow groups ⋮ Algebraic cycles and special Horikawa surfaces ⋮ Voisin's conjecture for zero-cycles on Calabi-Yau varieties and their mirrors ⋮ Algebraic Versus Homological Equivalence for Singular Varieties ⋮ On the Chow Ring of Cynk–Hulek Calabi–Yau Varieties and Schreieder Varieties ⋮ On descending cohomology geometrically ⋮ Zero-cycles on self-products of surfaces: some new examples verifying Voisin's conjecture ⋮ Algebraic cycles and very special cubic fourfolds ⋮ Cycles, derived categories, and rationality ⋮ On the motive of intersections of two Grassmannians in \(\mathbb{P}^9\) ⋮ The motive of a smooth theta divisor ⋮ Distinguished cycles on varieties with motive of abelian type and the Section Property ⋮ Generic cycles, Lefschetz representations, and the generalized Hodge and Bloch conjectures for Abelian varieties ⋮ Degree three unramified cohomology groups and Noether's problem for groups of order 243 ⋮ Zero-cycles on double EPW sextics ⋮ ON THE CHOW RING OF CERTAIN HYPERSURFACES IN A GRASSMANNIAN ⋮ On Chow-weight homology of geometric motives ⋮ On the action of symplectic automorphisms on the \(\mathrm{CH}_0\)-groups of some hyper-Kähler fourfolds ⋮ On the Chow ring of Fano varieties on the Fatighenti–Mongardi list ⋮ The Hodge bundle, the universal 0-section, and the log Chow ring of the moduli space of curves

This page was built for publication: Chow Rings, Decomposition of the Diagonal, and the Topology of Families