Chow groups of projective varieties of very small degree

DOI10.1215/S0012-7094-97-08702-0zbMath0916.14001OpenAlexW1974012061WikidataQ102060567 ScholiaQ102060567MaRDI QIDQ1355289

Eckart Viehweg, Hélène Esnault, Marc N. Levine

Publication date: 20 July 1999

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-97-08702-0

zbMATH Keywords

algebraic cyclesChow groupprojective varietiesrational equivalencenumber of rational points

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) Projective techniques in algebraic geometry (14N05) Algebraic cycles (14C25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items (15)

A Noether-Lefschetz theorem for varieties of r-planes in complete intersections ⋮ On the Chow groups of Plücker hypersurfaces in Grassmannians ⋮ Algebraic cycles on Fano varieties of some cubics ⋮ On the motive of Ito-Miura-Okawa-Ueda Calabi-Yau threefolds ⋮ Remarks on the \(\mathrm{CH}_2\) of cubic hypersurfaces ⋮ Semi-topological K-theory for certain projective varieties ⋮ 2-cycles on higher Fano hypersurfaces ⋮ Correspondences and singular varieties ⋮ BLOCH-TYPE CONJECTURES AND AN EXAMPLE A THREE-FOLD OF GENERAL TYPE ⋮ Coniveau 2 complete intersections and effective cones ⋮ Motives of hypersurfaces of very small degree ⋮ Cylindrical homomorphisms and Lawson homology ⋮ Decent intersection and Tor-rigidity for modules over local hypersurfaces ⋮ Examples of smash nilpotent cycles on rationally connected varieties ⋮ On the action of symplectic automorphisms on the \(\mathrm{CH}_0\)-groups of some hyper-Kähler fourfolds

Cites Work

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• On the connectedness of degeneracy loci and special divisors
• Hodge type of projective varieties of low degree
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• A very simple proof of Bott's theorem
• Cohomological and cycle-theoretic connectivity
• Smoothness, semi-stability and alterations
• Hodge's general conjecture is false for trivial reasons
• Rational equivalence of O-cycles on surfaces
• Remarks on Correspondences and Algebraic Cycles
• Connexité rationnelle des variétés de Fano
• On a Theorem of Ax

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