On the relative Gersten conjecture for Milnor K-theory in the smooth case
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 generic point of the special fibre....
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
November 2024
|
| In: |
Journal of pure and applied algebra
Year: 2024, Jahrgang: 228, Heft: 11, Pages: [1]-22 |
| ISSN: | 1873-1376 |
| DOI: | 10.1016/j.jpaa.2024.107718 |
| Online-Zugang: | Verlag, kostenfrei, Volltext: https://doi.org/10.1016/j.jpaa.2024.107718 Verlag, kostenfrei, Volltext: https://www.sciencedirect.com/science/article/pii/S0022404924001154 
|
| Verfasserangaben: | Morten Lüders (Universität Heidelberg, Mathematisches Institut) |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 192573367X | ||
| 003 | DE-627 | ||
| 005 | 20250717014033.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 250515s2024 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1016/j.jpaa.2024.107718 |2 doi | |
| 035 | |a (DE-627)192573367X | ||
| 035 | |a (DE-599)KXP192573367X | ||
| 035 | |a (OCoLC)1528045027 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 27 |2 sdnb | ||
| 100 | 1 | |a Lüders, Morten |e VerfasserIn |0 (DE-588)1350887196 |0 (DE-627)1912184370 |4 aut | |
| 245 | 1 | 0 | |a On the relative Gersten conjecture for Milnor K-theory in the smooth case |c Morten Lüders (Universität Heidelberg, Mathematisches Institut) |
| 264 | 1 | |c November 2024 | |
| 300 | |a 22 | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Gesehen am 15.05.2025 | ||
| 520 | |a 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 generic point of the special fibre. This complements results of Gillet-Levine for K-theory, Geisser for motivic cohomology and Schmidt-Strunk and the author for étale cohomology. | ||
| 650 | 4 | |a Higher symbols | |
| 650 | 4 | |a Milnor -theory | |
| 773 | 0 | 8 | |i Enthalten in |t Journal of pure and applied algebra |d Amsterdam [u.a.] : North-Holland, Elsevier Science, 1971 |g 228(2024), 11 vom: Nov., Artikel-ID 107718, Seite [1]-22 |h Online-Ressource |w (DE-627)266014445 |w (DE-600)1466510-4 |w (DE-576)074959654 |x 1873-1376 |7 nnas |a On the relative Gersten conjecture for Milnor K-theory in the smooth case |
| 773 | 1 | 8 | |g volume:228 |g year:2024 |g number:11 |g month:11 |g elocationid:107718 |g pages:[1]-22 |g extent:22 |a On the relative Gersten conjecture for Milnor K-theory in the smooth case |
| 856 | 4 | 0 | |u https://doi.org/10.1016/j.jpaa.2024.107718 |x Verlag |x Resolving-System |z kostenfrei |3 Volltext |
| 856 | 4 | 0 | |u https://www.sciencedirect.com/science/article/pii/S0022404924001154 |x Verlag |z kostenfrei |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20250515 | ||
| 993 | |a Article | ||
| 994 | |a 2024 | ||
| 998 | |g 1350887196 |a Lüders, Morten |m 1350887196:Lüders, Morten |d 110000 |d 110400 |e 110000PL1350887196 |e 110400PL1350887196 |k 0/110000/ |k 1/110000/110400/ |p 1 |x j |y j | ||
| 999 | |a KXP-PPN192573367X |e 472470666X | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"relHost":[{"physDesc":[{"extent":"Online-Ressource"}],"id":{"issn":["1873-1376"],"eki":["266014445"],"zdb":["1466510-4"]},"origin":[{"publisherPlace":"Amsterdam [u.a.] ; Amsterdam [u.a.]","dateIssuedDisp":"1971-","publisher":"North-Holland, Elsevier Science ; North-Holland","dateIssuedKey":"1971"}],"part":{"extent":"22","volume":"228","text":"228(2024), 11 vom: Nov., Artikel-ID 107718, Seite [1]-22","issue":"11","pages":"[1]-22","year":"2024"},"pubHistory":["1.1971 -"],"recId":"266014445","language":["eng"],"disp":"On the relative Gersten conjecture for Milnor K-theory in the smooth caseJournal of pure and applied algebra","note":["Gesehen am 02.01.25","Fortsetzung der Druck-Ausgabe","Ungezählte Beil.: Supplement"],"type":{"bibl":"periodical","media":"Online-Ressource"},"title":[{"title":"Journal of pure and applied algebra","title_sort":"Journal of pure and applied algebra"}]}],"physDesc":[{"extent":"22 S."}],"id":{"eki":["192573367X"],"doi":["10.1016/j.jpaa.2024.107718"]},"origin":[{"dateIssuedKey":"2024","dateIssuedDisp":"November 2024"}],"name":{"displayForm":["Morten Lüders (Universität Heidelberg, Mathematisches Institut)"]},"language":["eng"],"recId":"192573367X","type":{"media":"Online-Ressource","bibl":"article-journal"},"note":["Gesehen am 15.05.2025"],"title":[{"title_sort":"On the relative Gersten conjecture for Milnor K-theory in the smooth case","title":"On the relative Gersten conjecture for Milnor K-theory in the smooth case"}],"person":[{"given":"Morten","family":"Lüders","role":"aut","roleDisplay":"VerfasserIn","display":"Lüders, Morten"}]} | ||
| SRT | |a LUEDERSMORONTHERELAT2024 | ||