Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4588183 | Journal of Algebra | 2008 | 15 Pages |
Abstract
Fix a scheme X over a field of characteristic zero that is equipped with an action of a reductive algebraic group G. We give necessary and sufficient conditions for a G-equivariant coherent sheaf on X or a bounded-above complex of G-equivariant coherent sheaves on X to descend to a good quotient . This gives a description of the coherent derived category of as an admissible subcategory of the equivariant derived category of X.
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Physical Sciences and Engineering
Mathematics
Algebra and Number Theory