CaltechAUTHORS
Published 2011 | Version Submitted
Journal Article Open

Self cup products and the theta characteristic torsor

Creators

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.

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Submitted - 1104.2105v1.pdf

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Additional details

Identifiers

Eprint ID
37671
DOI
10.4310/MRL.2011.v18.n6.a18
Resolver ID
CaltechAUTHORS:20130328-103531472

Related works

Describes
10.4310/MRL.2011.v18.n6.a18 (DOI)
http://arxiv.org/abs/1104.2105 (URL)

Funding

NSF
DMS-0841321
NSF
DMS-1069236

Dates

Created
2013-04-10
Created from EPrint's datestamp field
Updated
2021-11-09
Created from EPrint's last_modified field