Equivariant twisted inverse without equivariant compactification

Mathematics – Algebraic Geometry

Scientific paper

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133 pages (Style change and few corrections. No mathematical change)

Scientific paper

An equivariant version of the twisted inverse pseudofunctor is defined, and
equivariant versions of some important properties, including the Grothendieck
duality of proper morphisms and flat base change are proved. As an application,
a generalized version of Watanabe's theorem on the Gorenstein property of the
ring of invariants is proved.

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