LOGARITHMIC DE RHAM COMPARISON FOR OPEN RIGID SPACES

doi:10.1017/fms.2019.27

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 数学所

	LOGARITHMIC DE RHAM COMPARISON FOR OPEN RIGID SPACES
	Li, Shizhang 3; Pan, Xuanyu1,2
刊名	FORUM OF MATHEMATICS SIGMA
	2019-09-25
卷号	7 页码:53
ISSN号	2050-5094
DOI	10.1017/fms.2019.27
英文摘要	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.
资助项目	NSFC[11688101]
WOS研究方向	Mathematics
语种	英语
出版者	CAMBRIDGE UNIV PRESS
WOS记录号	WOS:000487635800001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/35699]
专题	数学所
通讯作者	Li, Shizhang
作者单位	1.Chinese Acad Sci, Inst Math, AMSS, 55 ZhongGuanCun East Rd, Beijing 100190, Peoples R China 2.Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany 3.Columbia Univ, Dept Math, MC 4406,2990 Broadway, New York, NY 10027 USA
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.