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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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