Published 2011
| Submitted
Journal Article
Open
Self cup products and the theta characteristic torsor
- Creators
- Poonen, Bjorn
-
Rains, Eric
Abstract
We give a general formula relating self cup products in cohomology to connecting maps in nonabelian cohomology, and apply it to obtain a formula for the self cup product associated to the Weil pairing.
Additional Information
© 2011 International Press. Received by the editors 23 September 2011. We thank Benedict Gross for the suggestion to look at the self cup product on H^1(k,A[2]) induced by the Weil pairing e_2 on a Jacobian. We also thank Brian Conrad and the referee for comments. Bjorn Poonen was partially supported by National Science Foundation grants DMS-0841321 and DMS-1069236.Attached Files
Submitted - 1104.2105v1.pdf
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1104.2105v1.pdf
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Additional details
- Eprint ID
- 37671
- DOI
- 10.4310/MRL.2011.v18.n6.a18
- Resolver ID
- CaltechAUTHORS:20130328-103531472
- DMS-0841321
- NSF
- DMS-1069236
- NSF
- Created
-
2013-04-10Created from EPrint's datestamp field
- Updated
-
2021-11-09Created from EPrint's last_modified field