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Deformation Theory of Perfect Complexes and Traces by Lieblich, Max; Olsson, Martin is a scholarly article available to read on EtoBox.

What is Deformation Theory of Perfect Complexes and Traces about?

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 $K$-theory and higher category theory.

Author

Lieblich, Max; Olsson, Martin

Published

2021

Language

EN