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Grothendieck Duality for Projective Deligne-Mumford Stacks

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dc.contributor.author Nironi, Fabio en_US
dc.date.accessioned 2008-11-17T12:00:52Z en_US
dc.date.accessioned 2011-09-07T20:22:25Z
dc.date.available 2008-11-17T12:00:52Z en_US
dc.date.available 2011-09-07T20:22:25Z
dc.date.issued 2008-11-17T12:00:52Z en_US
dc.identifier.uri http://preprints.sissa.it/xmlui/handle/1963/3288 en_US
dc.description.abstract We develop Grothendieck duality for projective Deligne-Mumford stacks, in particular we prove the existence of a dualizing complex for a morphism from a projective stack to a scheme and for a proper representable morphism of algebraic stacks. In the first case we explicitly compute the dualizing complex and prove that Serre duality holds for smooth projective stacks in its usual form. We prove also that a projective stack has dualizing sheaf if and only if it is Cohen-Macaulay, it has a dualizing sheaf that is an invertible sheaf if and only if it is Gorenstein and for local complete intersections we explicitly compute the invertible sheaf. As an application of this general machinery we compute the dualizing sheaf of a nodal projective curve. en_US
dc.format.extent 329192 bytes en_US
dc.format.mimetype application/pdf en_US
dc.language.iso en_US en_US
dc.relation.ispartofseries SISSA;70/2008/FM en_US
dc.relation.ispartofseries arXiv.org;0811.1955 en_US
dc.title Grothendieck Duality for Projective Deligne-Mumford Stacks en_US
dc.type Preprint en_US
dc.contributor.department Mathematical Physics en_US
dc.contributor.area Mathematics en_US


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