The Grothendieck-Lefschetz theorem for normal projective varieties

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dc.creatorRavindra, G. V.
dc.creatorSrinivas, V.
dc.date2005-11-05
dc.date.accessioned2026-07-07T06:50:50Z
dc.date.available2026-07-07T06:50:50Z
dc.descriptionWe prove that for a normal projective variety $X$ in characteristic 0, and a base-point free ample line bundle $L$ on it, the restriction map of divisor class groups $\Cl(X)\to \Cl(Y)$ is an isomorphism for a general member $Y\in |L|$ provided that $\dim{X}\geq 4$. This is a generalization of the Grothendieck-Lefschetz Theorem, for divisor class groups of singular varieties.
dc.description21 pages, no figures, to appear in J. Algebraic Geometry
dc.identifierhttps://arxiv.org/abs/math/0511134
dc.identifierhttp://arxiv.org/abs/math/0511134
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104789
dc.subjectAlgebraic Geometry
dc.titleThe Grothendieck-Lefschetz theorem for normal projective varieties
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