Mathematical Research Letters

Volume 18 (2011)

Number 6

Self cup products and the theta characteristic torsor

Pages: 1305 – 1318

DOI: http://dx.doi.org/10.4310/MRL.2011.v18.n6.a18

Authors

Bjorn Poonen (Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139-4307, U.S.A.)

Eric Rains (Department of Mathematics, California Institute of Technology, Pasadena, CA 91125, U.S.A.)

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.

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