|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
Exceptional complete
intersection maps of local rings
Srikanth B. Iyengar, Janina C. Letz, Jian Liu and Josh Pollitz |
|
Vol. 318 (2022), No. 2, 275–293
|
Abstract |
|
This work concerns surjective maps φ:R→S 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 R. 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 φ. |
Keywords
exceptional complete intersection, Hochschild cohomology,
truncated Atiyah class, thick subcategory
|
Mathematical Subject Classification
Primary: 13B10
Secondary: 13D03, 13D09
|
Milestones
Received: 15 July 2021
Revised: 22 February 2022
Accepted: 16 April 2022
Published: 20 August 2022
|
Authors |
| Srikanth B. Iyengar | |
| Department of Mathematics University of Utah Salt Lake City, UT United States |
|
| Janina C. Letz | |
| Faculty of Mathematics Bielefeld University Bielefeld Germany |
|
| Jian Liu | |
| School of Mathematical
Sciences Shanghai Jiao Tong University Shanghai China |
|
| Josh Pollitz | |
| Department of Mathematics University of Utah Salt Lake City, UT United States |
|
