等特征与混合特征局部域上有限平坦群概形的分歧对应
数论
2012-05-18 v4
摘要
设p>2为有理素数，k为特征p的完美域，K为k的Witt环分式域的全分歧有限扩张。设G和H分别为O_K和k[[u]]上被p零化的有限平坦交换群概形。本文证明，当G和H关联于同一个Kisin模时，它们在Abbes-Saito意义下的上分歧子群与下分歧子群自然同构。
引用
@article{arxiv.1007.3094,
title = {Ramification correspondence of finite flat group schemes over equal and mixed characteristic local fields},
author = {Shin Hattori},
journal= {arXiv preprint arXiv:1007.3094},
year = {2012}
}
备注
22 pages; refereed version; Lemma 4.2 corrected; proof of Proposition 4.4 simplified; Remark 4.7 added; other minor revisions