An elementary proof of Grothendieck's Non-vanishing Theorem

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dc.creatorPuthenpurakal, Tony J.
dc.date2007-10-31
dc.date2008-06-18
dc.date.accessioned2026-07-07T09:44:55Z
dc.date.available2026-07-07T09:44:55Z
dc.descriptionWe give an elementary proof of Grothendieck's non-vanishing Theorem: For a finitely generated non-zero module $M$ over a Noetherian local ring $A$ with maximal ideal $\m$, the local cohomology module $H^{\dim M}_{\m}(M)$ is non-zero.
dc.descriptionTitle & abstract changed, some minor changes in the main body of the paper, 3 pages, To appear in Communications in Algebra
dc.identifierhttps://arxiv.org/abs/0710.5863
dc.identifierhttp://arxiv.org/abs/0710.5863
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163040
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13D45, 14B15 (Primary), 13A30 (Secondary)
dc.titleAn elementary proof of Grothendieck's Non-vanishing Theorem
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