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On the Weil-étale Cohomology of S-Integers


Chiu, Yi-Chih (2012) On the Weil-étale Cohomology of S-Integers. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/W4CA-6489.


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.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Weil-étale cohomology, S-integers, Tate sequences
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Mathematics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Flach, Matthias
Thesis Committee:
  • Flach, Matthias (chair)
  • Graber, Thomas B.
  • Jorza, Andrei
  • Mantovan, Elena
Defense Date:6 October 2011
Record Number:CaltechTHESIS:12212011-095330433
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6756
Deposited By: Yi-Chih Chiu
Deposited On:17 Feb 2012 21:36
Last Modified:03 Oct 2019 23:53

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