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Singularity categories and NCCRs as obstructions to tilting on singular projective varieties Kalck, Martin
Description
We show that the bounded derived category of many singular projectve varieties (with isolated singularities) does not admit tilting objects (and more generally no semiorthogonal decompositions of "Kawamata-typeâ ). Using singularity categories, most of our obstructions come from cluster theory via NCCRs and also from negative K-theory. Our approach is inspired by recent work of Kawamata. This is joint work with N.Pavic and E.Shinder.
Item Metadata
Title |
Singularity categories and NCCRs as obstructions to tilting on singular projective varieties
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-09-03T17:22
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Description |
We show that the bounded derived category of many singular projectve varieties (with isolated singularities) does not admit tilting objects (and more generally
no semiorthogonal decompositions of "Kawamata-typeâ ). Using singularity categories, most of our obstructions come from cluster theory via NCCRs
and also from negative K-theory. Our approach is inspired by recent work of Kawamata.
This is joint work with N.Pavic and E.Shinder.
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Extent |
52.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Freiburg University
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Series | |
Date Available |
2020-03-02
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0388816
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Postdoctoral
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International