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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

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

Project: B5

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


Authors: Hendrik Verhoek Projects: B5
Submission Date: 2012-06-19 Submitter: Thomas Zink
Download: PDF Link: 12059

12058 Hendrik Verhoek PDF

Étale subquotients of prime torsion of abelian schemes

Project: B5

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Étale subquotients of prime torsion of abelian schemes


Authors: Hendrik Verhoek Projects: B5
Submission Date: 2012-06-19 Submitter: Thomas Zink
Download: PDF Link: 12058

12057 Hendrik Verhoek PDF

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

Project: B5

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


Authors: Hendrik Verhoek Projects: B5
Submission Date: 2012-06-19 Submitter: Thomas Zink
Download: PDF Link: 12057

08090 Andrea Pulita PDF

Infinitesimal deformation of ultrametric differential equations

Project: B5

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Infinitesimal deformation of ultrametric differential equations


Authors: Andrea Pulita Projects: B5
Submission Date: 2008-09-23 Submitter: Thomas Zink
Download: PDF Link: 08090

08067 Adrian Vasiu, Thomas Zink PDF

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

Project: B5

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


Authors: Adrian Vasiu, Thomas Zink Projects: B5
Submission Date: 2008-07-22 Submitter: Stefan Bauer
Download: PDF Link: 08067

08066 Christopher Davis, Andreas Langer, Thomas Zink PDF

Overconvergent de Rham-Witt Cohomology

Project: B5

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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

Overconvergent Witt Vectors

Project: B5

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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

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

Project: B5

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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

Del Pezzo surfaces of degree 1 and jacobians

Project: B5

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Del Pezzo surfaces of degree 1 and jacobians


Authors: Yuri Zarhin Projects: B5
Submission Date: 2007-02-14 Submitter: Thomas Zink
Download: PDF Link: 07015

06062 Andrea Pulita PDF

p-Adic Confluence of q-Difference Equations

Project: B5

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p-Adic Confluence of q-Difference Equations


Authors: Andrea Pulita Projects: B5
Submission Date: 2006-11-30 Submitter: Thomas Zink
Download: PDF Link: 06062



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