Cdh descent, cdarc descent, and Milnor excision
Research output: Contribution to journal › Journal article › Research › peer-review
Documents
- CDH DESCENT, CDARC DESCENT, AND MILNOR EXCISION
Accepted author manuscript, 410 KB, PDF document
We give necessary and sufficient conditions for a cdh sheaf to satisfy Milnor excision, following ideas of Bhatt and Mathew. Along the way, we show that the cdh ∞-topos of a quasi-compact quasi-separated scheme of finite valuative dimension is hypercomplete, extending a theorem of Voevodsky to nonnoetherian schemes. As an application, we show that if E is a motivic spectrum over a field k which is n-torsion for some n invertible in k, then the cohomology theory on k-schemes defined by E satisfies Milnor excision.
Original language | English |
---|---|
Journal | Mathematische Annalen |
Volume | 379 |
Pages (from-to) | 1011–1045 |
ISSN | 0025-5831 |
DOIs | |
Publication status | Published - 2021 |
Number of downloads are based on statistics from Google Scholar and www.ku.dk
No data available
ID: 258028212