Cylindrical Homomorphisms and Lawson Homology

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dc.creatorVoineagu, Mircea
dc.date2009-04-22
dc.date.accessioned2026-07-07T13:07:12Z
dc.date.available2026-07-07T13:07:12Z
dc.descriptionWe use the cylindrical homomorphism and a geometric construction introduced by J. Lewis to study the Lawson homology groups of certain hypersurfaces $X\subset \mathbb{P}^{n+1}$ of degree $d\leq n+1$. As an application, we compute the rational semi-topological K-theory of a generic cubic of dimension 5, 6 and 8 and, using the Bloch-Kato conjecture, we prove Suslin's conjecture for these varieties. Using the generic cubic sevenfolds, we show that there are smooth projective varieties with the lowest non-trivial step in their s-filtration infinitely generated and undetected by the Abel-Jacobi map.
dc.descriptionto appear in Journal of K-theory
dc.identifierhttps://arxiv.org/abs/0904.3374
dc.identifierhttp://arxiv.org/abs/0904.3374
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228014
dc.subjectAlgebraic Geometry
dc.subjectK-Theory and Homology
dc.titleCylindrical Homomorphisms and Lawson Homology
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