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- W1489770165 abstract "We prove the existence of the dualizing functor for a separated morphism of algebraic stacks with affine diagonal; then we explicitly develop duality for compact Deligne-Mumford stacks focusing in particular on the morphism from a stack to its coarse moduli space and on representable morphisms. We explicitly compute the dualizing complex for a smooth stack over an algebraically closed field and prove that Serre duality holds for smooth compact Deligne-Mumford stacks in its usual form. We prove also that a proper Cohen-Macaulay stack has a dualizing sheaf and it is an invertible sheaf when it is Gorenstein. As an application of this general machinery we compute the dualizing sheaf of a tame nodal curve." @default.
- W1489770165 created "2016-06-24" @default.
- W1489770165 creator A5023591350 @default.
- W1489770165 date "2008-11-12" @default.
- W1489770165 modified "2023-09-27" @default.
- W1489770165 title "Grothendieck Duality for Projective Deligne-Mumford Stacks" @default.
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