Complexification of real cycles and Lawson suspension theorem

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dc.creatorTeh, Jyh-Haur
dc.date2005-10-26
dc.date2006-08-27
dc.date.accessioned2026-07-07T06:47:54Z
dc.date.available2026-07-07T06:47:54Z
dc.descriptionWe embed the space of totally real $r$-cycles of a totally real projective variety into the space of complex $r$-cycles by complexification. We provide a proof of the holomorphic taffy argument in the proof of Lawson suspension theorem by using Chow forms and this proof gives us an analogous result for totally real cycle spaces. We use Sturm theorem to derive a criterion for a real polynomial of degree $d$ to have $d$ distinct real roots and use it to prove the openness of some subsets of real divisors. This enables us to prove that the suspension map induces a weak homotopy equivalence between two enlarged spaces of totally real cycle spaces.
dc.description16 pages, to appear in the Journal of the London Mathematical Society
dc.identifierhttps://arxiv.org/abs/math/0510548
dc.identifierhttp://arxiv.org/abs/math/0510548
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103808
dc.subjectAlgebraic Geometry
dc.subjectK-Theory and Homology
dc.subject14C25; 14P25
dc.titleComplexification of real cycles and Lawson suspension theorem
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