Overconvergent unit-root F-isocrystals and isotriviality

2015/11/09 by Koshikawa, Teruhisa · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1511.02884

Abstract

We show that a semisimple overconvergent "absolutely unit-root" F-isocrystal on a geometrically connected smooth variety over a finite field becomes constant over a finite covering.

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• Logarithmic Dieudonné theory and overconvergent extensions

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