English

Equivariant twisted inverse without equivariant compactification

Algebraic Geometry 2007-05-23 v3 Commutative Algebra

Abstract

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.

Keywords

Cite

@article{arxiv.math/0302100,
  title  = {Equivariant twisted inverse without equivariant compactification},
  author = {Mitsuyasu Hashimoto},
  journal= {arXiv preprint arXiv:math/0302100},
  year   = {2007}
}

Comments

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