A homology and cohomology theory for real projective varieties

Simple item page
dc.creatorTeh, Jyh-Haur
dc.date2005-08-14
dc.date2007-07-19
dc.date.accessioned2026-07-07T08:19:08Z
dc.date.available2026-07-07T08:19:08Z
dc.descriptionIn this paper we develop homology and cohomology theories which play the same role for real projective varieties that Lawson homology and morphic cohomology play for projective varieties respectively. They have nice properties such as the existence of long exact sequences, the homotopy invariance, the Lawson suspension property, the homotopy property for bundle projection, the splitting principle, the cup product, the slant product and the natural transformations to singular theories. The Friedlander-Lawson moving lemma is used to prove a duality theorem between these two theories. This duality theorem is compatible with the $\Z_2$-Poincaré duality for real projective varieties with connected full real points.
dc.description52 pages
dc.identifierhttps://arxiv.org/abs/math/0508238
dc.identifierhttp://arxiv.org/abs/math/0508238
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134666
dc.subjectAlgebraic Geometry
dc.subjectK-Theory and Homology
dc.subject14C25; 14P25
dc.titleA homology and cohomology theory for real projective varieties
dc.typetext

Files

Collections

arXiv