LOGARITHMIC DE RHAM COMPARISON FOR OPEN RIGID SPACES

doi:10.1017/fms.2019.27

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	LOGARITHMIC DE RHAM COMPARISON FOR OPEN RIGID SPACES
	Li, Shizhang 1; Pan, Xuanyu2,3
	2019-09-25
发表期刊	FORUM OF MATHEMATICS SIGMA
ISSN	2050-5094
卷号	7 页码:53
摘要	In this note, we prove the logarithmic -adic comparison theorem for open rigid analytic varieties. We prove that a smooth rigid analytic variety with a strict simple normal crossing divisor is (in a certain sense) with respect to -local systems and ramified coverings along the divisor. We follow Scholze's method to produce a pro-version of the Faltings site and use this site to prove a primitive comparison theorem in our setting. After introducing period sheaves in our setting, we prove aforesaid comparison theorem.
DOI	10.1017/fms.2019.27
语种	英语
资助项目	NSFC[11688101]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000487635800001
出版者	CAMBRIDGE UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35700
专题	数学所
通讯作者	Li, Shizhang
作者单位	1.Columbia Univ, Dept Math, MC 4406,2990 Broadway, New York, NY 10027 USA 2.Chinese Acad Sci, Inst Math, AMSS, 55 ZhongGuanCun East Rd, Beijing 100190, Peoples R China 3.Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany
推荐引用方式 GB/T 7714	Li, Shizhang,Pan, Xuanyu. LOGARITHMIC DE RHAM COMPARISON FOR OPEN RIGID SPACES[J]. FORUM OF MATHEMATICS SIGMA,2019,7:53.
APA	Li, Shizhang,&Pan, Xuanyu.(2019).LOGARITHMIC DE RHAM COMPARISON FOR OPEN RIGID SPACES.FORUM OF MATHEMATICS SIGMA,7,53.
MLA	Li, Shizhang,et al."LOGARITHMIC DE RHAM COMPARISON FOR OPEN RIGID SPACES".FORUM OF MATHEMATICS SIGMA 7(2019):53.