Cohomology of rigid curves with semi-stable coverings

Naoki Imai, Takahiro Tsushima

Type: Article

Publication Date: 2015-01-01

Citations: 3

DOI: https://doi.org/10.4310/ajm.2015.v19.n4.a3

Abstract

We construct a semi-stable formal model of a wide open rigid curve with a semi-stable covering, and study the ℓ-adic cohomology of the rigid curve.We describe the ℓ-adic cohomology of the rigid curve using the ℓ-adic cohomology of the irreducible components of a semi-stable reduction, and homology and cohomology of some graphs.We also prove the functoriality of the description for a finite flat morphism that is compatible with semistable coverings of wide open rigid curves.

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arXiv (Cornell University) - View - PDF
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Asian Journal of Mathematics - View - PDF

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+ PDF Chat	Étale cohomology for non-Archimedean analytic spaces	1993	Vladimir G. Berkovich
+ PDF Chat	Vanishing cycles for formal schemes. II	1996	Vladimir G. Berkovich
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