A correction to Epp's paper Elimination of wild ramification
成果类型：
Article
署名作者：
Kuhlmann, FV
署名单位：
University of Saskatchewan
刊物名称：
INVENTIONES MATHEMATICAE
ISSN/ISSBN：
0020-9910
DOI：
10.1007/s00222-003-0297-4
发表日期：
2003
页码：
679-681
关键词：
摘要：
We fill a gap in the proof of one of the central theorems in Epp's paper, concerning p-cyclic extensions of complete discrete valuation rings. In his famous paper [1], Epp considers the following situation: S and R are two discrete valuation rings such that (1) S dominates R, and (2) if the characteristic p of the residue field of S is not zero, then its largest perfect subfield is separable and algebraic over the residue field of R. He proves that then, there exists a discrete valuation ring T which is a finite extension of R such that the localizations of the normalized join of S and T are weakly unramified over T. Towards this result, he proves the following theorem, assuming that all discrete valuation rings are complete:
来源URL：