Mathematics – Algebraic Geometry
Scientific paper
2005-11-25
Mathematics
Algebraic Geometry
10 pages; this is a shortened and a clearer version of the previous text; some references added
Scientific paper
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.
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