Conservative descent for semi-orthogonal decompositions
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- OA-Conservative descent for semi-orthogonal decompositions
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Motivated by the local flavor of several well-known semi-orthogonal decompositions in algebraic geometry, we introduce a technique called conservative descent, which shows that it is enough to establish these decompositions locally. The decompositions we have in mind are those for projectivized vector bundles and blow-ups, due to Orlov, and root stacks, due to Ishii and Ueda. Our technique simplifies the proofs of these decompositions and establishes them in greater generality for arbitrary algebraic stacks.
Originalsprog | Engelsk |
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Artikelnummer | 106882 |
Tidsskrift | Advances in Mathematics |
Vol/bind | 360 |
Antal sider | 39 |
ISSN | 0001-8708 |
DOI | |
Status | Udgivet - 2020 |
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