On some twisted cohomology of the ring of integers
DC Field | Value | Language |
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dc.contributor.author | 이석민 | - |
dc.date.available | 2020-07-10T05:40:17Z | - |
dc.date.created | 2020-07-06 | - |
dc.date.issued | 2017 | - |
dc.identifier.issn | 1226-3524 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/6801 | - |
dc.description.abstract | As an analogy of Poincar´e series in the space of modular forms, T. Ono associated a module Mc/Pc for γ = [c] ∈ H1(G,R×) where finite group G is acting on a ring R. Mc/Pc is regarded as the 0-dimensional twisted Tate cohomology b H0(G,R+)γ. In the case that G is the Galois group of a Galois extension K of a number field k and R is the ring of integers of K, the vanishing properties of Mc/Pc are related to the ramification of K/k. We generalize this to arbitrary n-dimensional twisted cohomology of the ring of integers and obtain the extended version of theorems. Moreover, some explicit examples on quadratic and biquadratic number fields are given. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.language.iso | en | - |
dc.publisher | 충청수학회 | - |
dc.title | On some twisted cohomology of the ring of integers | - |
dc.title.alternative | On some twisted cohomology of the ring of integers | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | 이석민 | - |
dc.identifier.bibliographicCitation | 충청수학회지, v.30, no.1, pp.77 - 102 | - |
dc.relation.isPartOf | 충청수학회지 | - |
dc.citation.title | 충청수학회지 | - |
dc.citation.volume | 30 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 77 | - |
dc.citation.endPage | 102 | - |
dc.type.rims | ART | - |
dc.identifier.kciid | ART002196208 | - |
dc.description.journalClass | 2 | - |
dc.description.journalRegisteredClass | kci | - |
dc.subject.keywordAuthor | twisted cohomology | - |
dc.subject.keywordAuthor | twisted module | - |
dc.subject.keywordAuthor | Poincar´e sum | - |
dc.subject.keywordAuthor | biquadratic field. | - |
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