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LOGARITHMIC DE RHAM COMPARISON FOR OPEN RIGID SPACES
Li, Shizhang1; Pan, Xuanyu2,3
2019-09-25
Source PublicationFORUM OF MATHEMATICS SIGMA
ISSN2050-5094
Volume7Pages:53
AbstractIn 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.
DOI10.1017/fms.2019.27
Language英语
Funding ProjectNSFC[11688101]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000487635800001
PublisherCAMBRIDGE UNIV PRESS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/35700
Collection数学所
Corresponding AuthorLi, Shizhang
Affiliation1.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
Recommended Citation
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.
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