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On the Weil-etale Cohomology of S-integers

Posted on:2013-02-11Degree:Ph.DType:Dissertation
University:California Institute of TechnologyCandidate:Chiu, Yi-ChihFull Text:PDF
GTID:1450390008975053Subject:Mathematics
Abstract/Summary:
We generalize the Lichtenbaum's prototype of Weil-etale 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-etale cohomology for one-dimensional arithmetic schemes motivated by a dual quasi-isomorphism between Weil-etale cohomology and etale cohomology.
Keywords/Search Tags:Weil-etale cohomology
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