On the Weil-étale Cohomology of S-Integers

Author: Chiu, Yi-Chih

Year: 2012

Degree: Dissertation (Ph.D.)

Advisor: Flach, Matthias

Committee Members: Flach, Matthias; Graber, Thomas B.; Jorza, Andrei; Mantovan, Elena

Option: Mathematics

DOI: 10.7907/W4CA-6489

Abstract

We generalize the Lichtenbaum's prototype of Weil-étale cohomology to S-integers and study its relation to the Tate sequences. In the final part, we present a more natural way to define Weil-étale cohomology for one-dimensional arithmetic schemes motivated by a dual quasi-isomorphism between Weil-étale cohomology and étale cohomology.

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