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Exceptional complete
intersection maps of local rings
Srikanth B. Iyengar, Janina C. Letz, Jian Liu and Josh Pollitz |
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Vol. 318 (2022), No. 2, 275–293
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Abstract |
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This work concerns surjective maps of commutative noetherian local rings with kernel generated by a regular sequence that is part of a minimal generating set for the maximal ideal of . The main result provides criteria for detecting such exceptional complete intersection maps in terms of the lattices of thick subcategories of the derived category of complexes of finite length homology. A key input is a characterization of such maps in terms of the truncated Atiyah class of . |
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Keywords
exceptional complete intersection, Hochschild cohomology,
truncated Atiyah class, thick subcategory
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Mathematical Subject Classification
Primary: 13B10
Secondary: 13D03, 13D09
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Milestones
Received: 15 July 2021
Revised: 22 February 2022
Accepted: 16 April 2022
Published: 20 August 2022
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Authors |
| Srikanth B. Iyengar | |
| Department of Mathematics University of Utah Salt Lake City, UT United States |
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| Janina C. Letz | |
| Faculty of Mathematics Bielefeld University Bielefeld Germany |
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| Jian Liu | |
| School of Mathematical
Sciences Shanghai Jiao Tong University Shanghai China |
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| Josh Pollitz | |
| Department of Mathematics University of Utah Salt Lake City, UT United States |
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