# Project B5: Algebraic geometry, cohomology and abelian varieties

Principal Investigator(s)
Thomas Zink
Investigator(s)
Li Ma

Summary:

We study p-adic cohomology theories of algebraic varieties in characteristic p > 0 and their applications. We will further develop the theory of the de Rham-Witt complex and its variant for rigid cohomology. In particular we are interested in the display structure on the cohomology. As in the case of p-divisible groups the displays should form a bridge to p-adic &eacute;tale cohomology. We will continue to study the implications of the theory of displays for abelian varieties and p-divisible groups.<br /> <br /> This project continues the successful work of the project <i>Crystalline cohomology and Abelian manifolds</i> under the direction of and Thomas Zink.

## Recent Preprints:

12059 Hendrik Verhoek PDF

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### Extensions of group schemes of $\mu$-type by a constant group scheme

12058 Hendrik Verhoek PDF

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### Étale subquotients of prime torsion of abelian schemes

12057 Hendrik Verhoek PDF

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### Modularity of abelian varieties over Q with bad reduction in one prime only

08090 Andrea Pulita PDF

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### Infinitesimal deformation of ultrametric differential equations

08067 Adrian Vasiu, Thomas Zink PDF

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### Breuil's classification of p-divisible groups over regular local rings of arbitrary dimension

08066 Christopher Davis, Andreas Langer, Thomas Zink PDF

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### Overconvergent de Rham-Witt Cohomology

 Authors: Christopher Davis, Andreas Langer, Thomas Zink Projects: B5 Submission Date: 2008-07-22 Submitter: Stefan Bauer Download: PDF Link: 08066

08065 Christopher Davis, Andreas Langer, Thomas Zink PDF

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### Overconvergent Witt Vectors

 Authors: Christopher Davis, Andreas Langer, Thomas Zink Projects: B5 Submission Date: 2008-07-22 Submitter: Stefan Bauer Download: PDF Link: 08065

08007 Bruno Chiarellotto, Andrea Pulita PDF

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### Arithmetic and Differential Swan conductors of rank one representations with finite local monodromy.

 Authors: Bruno Chiarellotto, Andrea Pulita Projects: B5 Submission Date: 2008-02-05 Submitter: Thomas Zink Download: PDF Link: 08007

07015 Yuri Zarhin PDF

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### Del Pezzo surfaces of degree 1 and jacobians

06062 Andrea Pulita PDF

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