LCA(2), Weil index, and product formula

Abstract

In this paper we study the category LCA(2) of certain non-locally compact abelian topological groups, and extend the notion of Weil index. As applications we deduce some product formulas for curves over local fields and arithmetic surfaces.

arXiv comment36 pages; comments are welcome

References in corpus (2)

• Semiinfinite symmetric powers
• An explicit approach to residues on and dualizing sheaves of arithmetic surfaces