English

Local factors valued in normal domains

Number Theory 2014-10-27 v2

Abstract

We give an exposition of Deligne's theory of local ϵ0\epsilon_0-factors over fields and discrete valuation rings under the assumption that the theory over the complex numbers is known. We then employ standard techniques from algebraic geometry to deduce the theory of local ϵ0\epsilon_0-factors over arbitrary normal integral schemes.

Keywords

Cite

@article{arxiv.1312.3485,
  title  = {Local factors valued in normal domains},
  author = {Kestutis Cesnavicius},
  journal= {arXiv preprint arXiv:1312.3485},
  year   = {2014}
}

Comments

17 pages; final version, to appear in International Journal of Number Theory

R2 v1 2026-06-22T02:26:15.659Z