Local factors valued in normal domains

Abstract

We give an exposition of Deligne's theory of local ${\epsilon }_0$-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 ${\epsilon }_0$-factors over arbitrary normal integral schemes.

arXiv comment17 pages; final version, to appear in International Journal of Number Theory