On the relative Gersten conjecture for Milnor K-theory in the smooth case
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2020
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929409419640832 |
|---|---|
| author | Lüders, Morten |
| author_facet | Lüders, Morten |
| contents | We show that the Gersten complex for the (improved) Milnor K-sheaf on a smooth scheme over an excellent discrete valuation ring is exact except at the first place and that exactness at the first place may be checked at the discrete valuation ring associated to the the generic point of the special fiber. This complements results of Gillet and Levine for K-theory, Geisser for motivic cohomology and Schmidt and Strunk and the author for étale cohomology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2010_02622 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | On the relative Gersten conjecture for Milnor K-theory in the smooth case Lüders, Morten Algebraic Geometry K-Theory and Homology We show that the Gersten complex for the (improved) Milnor K-sheaf on a smooth scheme over an excellent discrete valuation ring is exact except at the first place and that exactness at the first place may be checked at the discrete valuation ring associated to the the generic point of the special fiber. This complements results of Gillet and Levine for K-theory, Geisser for motivic cohomology and Schmidt and Strunk and the author for étale cohomology. |
| title | On the relative Gersten conjecture for Milnor K-theory in the smooth case |
| topic | Algebraic Geometry K-Theory and Homology |
| url | https://arxiv.org/abs/2010.02622 |