Milnor excision for motivic spectra
Research output: Contribution to journal › Journal article › peer-review
We prove that the ∞{\infty}-category of motivic spectra satisfies Milnor excision: if A→B{A\to B} is a morphism of commutative rings sending an ideal IA{I\subset A} isomorphically onto an ideal of B, then a motivic spectrum over A is equivalent to a pair of motivic spectra over B and A/I{A/I} that are identified over B/IB{B/IB}. Consequently, any cohomology theory represented by a motivic spectrum satisfies Milnor excision. We also prove Milnor excision for Ayoub's étale motives over schemes of finite virtual cohomological dimension.
Original language | English |
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Journal | Journal fur die Reine und Angewandte Mathematik |
Volume | 2021 |
Issue number | 779 |
Pages (from-to) | 223-235 |
ISSN | 0075-4102 |
DOIs | |
Publication status | Published - 2021 |
Links
- https://arxiv.org/pdf/2004.12098.pdf
Accepted author manuscript
ID: 284176499