PROJECTIVE GENERATION FOR EQUIVARIANT
-MODULES
Keyword(s):
AbstractWe investigate compact projective generators in the category of equivariant "Image missing"-modules on a smooth affine variety. For a reductive group G acting on a smooth affine variety X, there is a natural countable set of compact projective generators indexed by finite dimensional representations of G. We show that only finitely many of these objects are required to generate; thus the category has a single compact projective generator. The proof goes via an analogous statement about compact generators in the equivariant derived category, which holds in much greater generality and may be of independent interest.
2019 ◽
Vol 2019
(749)
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pp. 87-132
1996 ◽
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pp. 1091-1120
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2009 ◽
Vol 61
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pp. 1375-1382
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pp. 133-157
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2021 ◽
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pp. 679-731
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pp. 2050032
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1987 ◽
Vol 62
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pp. 339-389
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