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Local factors valued in normal domains

2013/12/12 by Kęstutis Česnavičius, Kestutis Cesnavicius, Cesnavicius, Kestutis
Mathematics · #11F80 #Algebraic and Geometric Analysis #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions #Number Theory (math.NT) #Primary 11S37 #Secondary 11S40 #math.NT #msc:11F80 #msc:11S37 #msc:11S40

paper · pdf · doi:10.48550/arxiv.1312.3485

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

openalex publication_date 2013/12/12 · arxiv created 2014/10/24 · arxiv updated 2014/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

We give an exposition of Deligne's theory of local ε0-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-factors over arbitrary normal integral schemes.

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