Self cup products and the theta characteristic torsor

Bjorn Poonen, Eric Rains
2011 Mathematical Research Letters  
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.
doi:10.4310/mrl.2011.v18.n6.a18 fatcat:vncjul4nencvrnd62zwyzoxsde