On the stability of the overconvergence under the direct image by a proper smooth morphism
classification
🧮 math.AG
math.NT
keywords
directimagemorphismoverconvergencepropersmoothunderarithmetic
read the original abstract
Up to a translation in the language of arithmetic $\D$-modules, we prove a conjecture of Berthelot on the preservation of the overconvergence under the direct image by a smooth proper morphism of varieties over a perfect field of characteristic $p>0$.
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