On the stability of the overconvergence under the direct image by a proper smooth morphism

Details On the stability of the overconvergence under the direct image by a proper smooth morphism On the stability of the overconvergence under the direct image by a proper smooth morphism

2008-11-28

arxiv.org/abs/0811.4740v2

Mathematics

Algebraic Geometry

30 pages

Scientific paper

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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