A Polar de Rham Theorem

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dc.creatorKhesin, B.
dc.creatorRosly, A.
dc.creatorThomas, R. P.
dc.date2003-05-05
dc.date2003-10-27
dc.date.accessioned2026-07-07T04:57:47Z
dc.date.available2026-07-07T04:57:47Z
dc.descriptionWe prove an analogue of the de Rham theorem for polar homology; that the polar homology $HP_q(X)$ of a smooth projective variety $X$ is isomorphic to its $H^{n,n-q}$ Dolbeault cohomology group. This analogue can be regarded as a geometric complexification where arbitrary (sub)manifolds are replaced by complex (sub)manifolds and de Rham's operator $d$ is replaced by Dolbeault's $\bar\partial$.
dc.descriptionReferee's corrections. 17 pages, to appear in Topology
dc.identifierhttps://arxiv.org/abs/math/0305081
dc.identifierhttp://arxiv.org/abs/math/0305081
dc.identifierTopology Volume 43, Issue 5 (2004) Pages 1231-1246
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67378
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Topology
dc.titleA Polar de Rham Theorem
dc.typetext

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