Subcategories of singularity categories via tensor actions
2013 ◽
Vol 150
(2)
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pp. 229-272
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AbstractWe obtain, via the formalism of tensor actions, a complete classification of the localizing subcategories of the stable derived category of any affine scheme that has hypersurface singularities or is a complete intersection in a regular scheme; in particular, this classifies the thick subcategories of the singularity categories of such rings. The analogous result is also proved for certain locally complete intersection schemes. It is also shown that from each of these classifications one can deduce the (relative) telescope conjecture.
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2017 ◽
Vol 16
(10)
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pp. 1750197
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2016 ◽
Vol 31
(17)
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pp. 1650102
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2003 ◽
Vol 35
(6)
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pp. 1059-1076
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