Local convolution of l-adic sheaves on the torus

2011/06/07 by Antonio Rojas‐León, Antonio Rojas-León, Rojas-León, Antonio
Mathematics · Pharmacology, Toxicology and Pharmaceutics · #14F05 #14F20 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Alkaloids: synthesis and pharmacology #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT #msc:14F05 #msc:14F20

paper · pdf · doi:10.48550/arxiv.1106.1398

arxiv created 2011/06/07 · openalex publication_date 2011/06/07 · arxiv updated 2011/06/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For K and L two l-adic perverse sheaves on the one-dimensional torus over the algebraic closure of a finite field, we show that the local monodromies of their convolution K*L at its points of non-smoothness is completely determined by the local monodromies of K and L. This generalizes a previous result of N. Katz for the case where K and L are smooth, tame at 0 and totally wild at infinity.

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