DC Field | Value | Language |
---|---|---|
dc.contributor.author | Park, Jinhyun | ko |
dc.date.accessioned | 2022-10-08T05:00:12Z | - |
dc.date.available | 2022-10-08T05:00:12Z | - |
dc.date.created | 2022-08-15 | - |
dc.date.created | 2022-08-15 | - |
dc.date.issued | 2022-11 | - |
dc.identifier.citation | MATHEMATISCHE ZEITSCHRIFT, v.302, no.3, pp.1679 - 1719 | - |
dc.identifier.issn | 0025-5874 | - |
dc.identifier.uri | http://hdl.handle.net/10203/298898 | - |
dc.description.abstract | We present a formal scheme based cycle model for the motivic cohomology of the fat points defined by the truncated polynomial rings $k[t]/(t^m)$ with $m \geq 2$, in one variable over a field $k$. We compute their Milnor range cycle class groups when the field has sufficiently many elements. With some aids from rigid analytic geometry and the Gersten conjecture for the Milnor $K$-theory resolved by M. Kerz, we prove that the resulting cycle class groups are isomorphic to the Milnor $K$-groups of the truncated polynomial rings, generalizing a theorem of Nesterenko-Suslin and Totaro. | - |
dc.language | English | - |
dc.publisher | SPRINGER HEIDELBERG | - |
dc.title | Motivic cohomology of fat points in Milnor range via formal and rigid geometries | - |
dc.type | Article | - |
dc.identifier.wosid | 000849308900002 | - |
dc.identifier.scopusid | 2-s2.0-85137203959 | - |
dc.type.rims | ART | - |
dc.citation.volume | 302 | - |
dc.citation.issue | 3 | - |
dc.citation.beginningpage | 1679 | - |
dc.citation.endingpage | 1719 | - |
dc.citation.publicationname | MATHEMATISCHE ZEITSCHRIFT | - |
dc.identifier.doi | 10.1007/s00209-022-03122-4 | - |
dc.contributor.localauthor | Park, Jinhyun | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Algebraic cycle | - |
dc.subject.keywordAuthor | Chow group | - |
dc.subject.keywordAuthor | Singular scheme | - |
dc.subject.keywordAuthor | Formal scheme | - |
dc.subject.keywordAuthor | Tate algebra | - |
dc.subject.keywordAuthor | Rigid geometry | - |
dc.subject.keywordAuthor | Motivic cohomology | - |
dc.subject.keywordAuthor | Milnor K-theory | - |
dc.subject.keywordAuthor | Algebraic de Rham cohomology | - |
dc.subject.keywordAuthor | De Rham-Witt form | - |
dc.subject.keywordPlus | K-THEORY | - |
dc.subject.keywordPlus | CATEGORIES | - |
dc.subject.keywordPlus | RINGS | - |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.