Poincare biextension and ideles on the algebraic curve
Algebraic Geometry
2015-06-26 v3
Abstract
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.
Keywords
Cite
@article{arxiv.math/0511626,
title = {Poincare biextension and ideles on the algebraic curve},
author = {Sergey Gorchinskiy},
journal= {arXiv preprint arXiv:math/0511626},
year = {2015}
}
Comments
10 pages; this is a shortened and a clearer version of the previous text; some references added