Deformation theory of perfect complexes and traces
Algebraic Geometry
2023-03-15 v2 K-Theory and Homology
Abstract
We show that the deformation theory of a perfect complex and that of its determinant are related by the trace map, in a general setting of sheaves on a site. The key technical step, in passing from the setting of modules over a ring where one has global resolutions to the general setting, is achieved using -theory and higher category theory.
Keywords
Cite
@article{arxiv.2104.12736,
title = {Deformation theory of perfect complexes and traces},
author = {Max Lieblich and Martin Olsson},
journal= {arXiv preprint arXiv:2104.12736},
year = {2023}
}
Comments
36 pages, final version, to appear in Annals of K-Theory