Local acyclicity in p-adic cohomology

2018/08/01 by Lazda, Christopher
#14F30 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1808.00280

Abstract

We prove an analogue for p-adic coefficients of the Deligne--Laumon theorem on local acyclicity for curves. That is, for an overconvergent F-isocrystal E on a relative curve f:U→ S admitting a good compactification, we show that the cohomology sheaves of Rf_!E are overconvergent isocrystals if and only if E has constant Swan conductor at infinity.

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