Ajneet, Dhillon and Zsámboki, Pál (2023) Twisted Forms of Perfect Complexes and Hilbert 90. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 72. pp. 353-379. ISSN 0022-2518 (print); 1943-5258 (online)
|
Text
1901.06816v3.pdf Download (223kB) | Preview |
Abstract
Automorphisms of a perfect complex naturally have the structure of an ∞-group: the 1-morphisms are quasi-isomorphisms, the 2-morphisms are homotopies, etc. This article starts by proving some basic properties of this ∞-group. We go on to study the deformation theory of this stack of ∞-groups and give a criterion for this stack to be formally smooth. The classifying stack of this ∞-group classifies forms of a complex. We discuss a version of Hilbert 90 for perfect complexes.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 30 Jan 2024 08:10 |
| Last Modified: | 30 Jan 2024 08:10 |
| URI: | http://real.mtak.hu/id/eprint/186614 |
Actions (login required)
 |
Edit Item |
