The K-group of R-constructible Sheaves

dc.creatorLibine, Matvei
dc.date2002-09-04
dc.date2002-12-25
dc.date.accessioned2026-07-07T04:50:35Z
dc.date.available2026-07-07T04:50:35Z
dc.descriptionLet Z be a smooth projective manifold. In these notes I will prove that the K-group of R-constructible sheaves is isomorphic to the free abelian group with one generator for each open semialgebraic subset $U$ (which I will denote by the same letter) modulo the Mayer-Vietoris relations: U + V - U^V - UvV = 0. I will prove it by showing that both groups in question are isomorphic to the group of all integer-valued semialgebraic functions on Z.
dc.description4 pages, no figures, LaTeX
dc.identifierhttps://arxiv.org/abs/math/0209034
dc.identifierhttp://arxiv.org/abs/math/0209034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64844
dc.subjectDifferential Geometry
dc.titleThe K-group of R-constructible Sheaves
dc.typetext

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