Motives, numerical equivalence, and semi-simplicity
From MaRDI portal
Publication:1187494
DOI10.1007/BF01231898zbMath0762.14003WikidataQ56269442 ScholiaQ56269442MaRDI QIDQ1187494
Publication date: 22 July 1992
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/143974
equivalence relationsTannakian categoryintersectionChow motivesnumerical equivalencepull-backpush-forwardlinear algebraic cycles
Related Items (64)
Motives and the Pfaffian–Grassmannian equivalence ⋮ On the Blumberg-Mandell Künneth theorem for TP ⋮ Motives of moduli spaces of rank 3 vector bundles and Higgs bundles on a curve ⋮ On Semisimplification of Tensor Categories ⋮ Nilpotence, radicals and monoidal structures. With an appendix by Peter O'Sullivan. ⋮ Erratum: Nilpotency, radicals and monoidal structures ⋮ A family of \(K3\) surfaces having finite-dimensional motive ⋮ A universal rigid abelian tensor category ⋮ Rigid \(G_{2}\)-representations and motives of type \(G_{2}\) ⋮ On the Hodge conjecture for products of certain surfaces ⋮ Noncommutative geometry and motives: the thermodynamics of endomotives ⋮ Differential graded motives: weight complex, weight filtrations and spectral sequences for realizations; Voevodsky versus Hanamura ⋮ Integral motives and special values of zeta functions ⋮ For an unconditional theory of motives ⋮ Smoothness, semi-stability and alterations ⋮ Some desultory remarks concerning algebraic cycles and Calabi-Yau threefolds ⋮ On a multiplicative version of Bloch's conjecture ⋮ Motivation for Hodge cycles ⋮ Some results on a conjecture of Voisin for surfaces of geometric genus one ⋮ On the Chow groups of certain cubic fourfolds ⋮ Algebraic cycles on Fano varieties of some cubics ⋮ Pure motives with representable Chow groups ⋮ Noncommutative motives in positive characteristic and their applications ⋮ \(\ell\)-independence for a system of motivic representations ⋮ Derived equivalence and Grothendieck ring of varieties: the case of K3 surfaces of degree 12 and abelian varieties ⋮ Lefschetz classes of simple factors of the Jacobian variety of a Fermat curve of prime degree over finite fields ⋮ Motives of moduli spaces of bundles on curves via variation of stability and flips ⋮ Замечание о 0-циклах как модулях над алгебрами конечных соответствий;A remark on 0-cycles as modules over algebras of finite correspondences ⋮ On local monodromy filtrations attached to motives ⋮ On classical tensor categories attached to the irreducible representations of the general linear supergroups \(GL(n|n)\) ⋮ Endomorphism algebras of motives attached to elliptic modular forms. ⋮ Some Observations About Motivic Tensor Triangulated Geometry over a Finite Field ⋮ A family of cubic fourfolds with finite-dimensional motive ⋮ Variations on a Theorem of Tate ⋮ Motives with exceptional Galois groups and the inverse Galois problem ⋮ On the André motive of certain irreducible symplectic varieties ⋮ Standard conjectures for abelian fourfolds ⋮ The motive of the moduli stack of \(G\)-bundles over the universal curve ⋮ Cohomology of arithmetic groups and periods of automorphic forms ⋮ Grothendieck standard conjectures, morphic cohomology and Hodge index theorem ⋮ Numerical functors on Voevodsky's motives ⋮ Emergent spacetime from modular motives ⋮ On motivic decompositions arising from the method of Białynicki-Birula ⋮ Weil transfer of algebraic cycles. ⋮ The generalised Jacobson-Morosov theorem ⋮ Motives and admissible representations of automorphism groups of fields ⋮ Characterization of minimal Pfister neighbors via Rost projectors ⋮ On supergroups and their semisimplified representation categories ⋮ Self-correspondences of the generic fibre of Lefschetz pencils and the Leray filtration ⋮ Recent developments on noncommutative motives ⋮ The generalized Franchetta conjecture for some hyper-Kähler varieties. II ⋮ On log motives ⋮ Albanese kernels and Griffiths groups ⋮ Rota-Baxter algebras, singular hypersurfaces, and renormalization on Kausz compactifications ⋮ Category of \(C\)-motives over finite fields ⋮ Recognizing Galois representations of K3 surfaces ⋮ Équivalences rationnelle et numérique sur certaines variétés de type abélien sur un corps fini ⋮ Motivic decomposition and intersection Chow groups. I. ⋮ On the motive of O’Grady’s ten-dimensional hyper-Kähler varieties ⋮ On a conjectural filtration on the Chow groups of an algebraic variety. I: The general conjectures and some examples ⋮ Mixed motivic sheaves (and weights for them) exist if ‘ordinary’ mixed motives do ⋮ Monoidal abelian envelopes with a quotient property ⋮ On the image of the 𝑙-adic Abel-Jacobi map for a variety over the algebraic closure of a finite field ⋮ An unconditional construction of motivic Galois groups
Cites Work
This page was built for publication: Motives, numerical equivalence, and semi-simplicity