Notes on Algebraic Cycles and Homotopy theory

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dc.creatorHu, Wenchuan
dc.date2008-11-26
dc.date.accessioned2026-07-07T12:04:54Z
dc.date.available2026-07-07T12:04:54Z
dc.descriptionWe show that a conjecture by Lawson holds, that is, the inclusion from the Chow variety $C_{p,d}(P^n)$ of all effective algebraic p-cycles of degree d in n-dimensional projective space to the space of effective algebraic p-cycles is 2d-connected. As a result, the homotopy and homology groups of $C_{p,d}(P^n)$ are calculated up to 2d. We also show an analogous statement for Chow variety $C_{p,d}(¶^n)$ over algebraically closed fields of arbitrary characteristic and compute their etale homotopy groups up to 2d.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0811.4420
dc.identifierhttp://arxiv.org/abs/0811.4420
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/208237
dc.subjectAlgebraic Geometry
dc.subjectAlgebraic Topology
dc.subject14C05; 14C25; 55Q52
dc.titleNotes on Algebraic Cycles and Homotopy theory
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