33 research outputs found
Poincare biextension and ideles on the algebraic curve
Arbarello, de Concini, and Kac have constructed a central extension of the
ideles group on a smooth projective algebraic curve. We show a relation of this
central extension with the theta-bundle and the Poincare biextension of the
Jacobian of the curve. As an application we get a new proof of the adelic
formula for the Weil pairing.Comment: 10 pages; this is a shortened and a clearer version of the previous
text; some references adde