Hyperdescent and étale K-theory
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Dokumenter
- Fulltext
Accepteret manuskript, 810 KB, PDF-dokument
We study the étale sheafification of algebraic K-theory, called étale K-theory. Our main results show that étale K-theory is very close to a noncommutative invariant called Selmer K-theory, which is defined at the level of categories. Consequently, we show that étale K-theory has surprisingly well-behaved properties, integrally and without finiteness assumptions. A key theoretical ingredient is the distinction, which we investigate in detail, between sheaves and hypersheaves of spectra on étale sites.
Originalsprog | Engelsk |
---|---|
Tidsskrift | Inventiones Mathematicae |
Vol/bind | 225 |
Udgave nummer | 3 |
Sider (fra-til) | 981-1076 |
Antal sider | 96 |
ISSN | 0020-9910 |
DOI | |
Status | Udgivet - sep. 2021 |
Bibliografisk note
Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
Antal downloads er baseret på statistik fra Google Scholar og www.ku.dk
ID: 307089209