Journal article
Compact generators in categories of matrix factorizations
- Abstract:
-
We study the category of matrix factorizations associated to the germ of an isolated hypersurface singularity. This category is shown to admit a compact generator which is given by the stabilization of the residue field. We deduce a quasi-equivalence between the category of matrix factorizations and the dg derived category of an explicitly computable dg algebra. Building on this result, we employ a variant of Toen's derived Morita theory to identify continuous functors between matrix factoriz...
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Bibliographic Details
- Journal:
- Duke Mathematical Journal
- Volume:
- 159
- Issue:
- 2
- Pages:
- 223-274
- Publication date:
- 2009-04-30
- DOI:
- ISSN:
-
0012-7094
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
pubs:398218
- UUID:
-
uuid:c824e863-2baf-4c8a-a3e9-aa7fba32f8c4
- Local pid:
- pubs:398218
- Source identifiers:
-
398218
- Deposit date:
- 2013-11-16
Terms of use
- Copyright date:
- 2009
- Notes:
-
43 pages, revised version after referee report: corrected a mistake
in the proof of Theorem 4.7, slightly stronger assumptions are needed to make
the Morita theory work (see new Section 3), added discussion of Knoerrer
periodicity (5.3), general reorganization; to appear in Duke Mathematical
Journal
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