A crystalline incarnation of Berthelot’s conjecture and Künneth formula for isocrystals
نویسندگان
چکیده
Berthelot’s conjecture predicts that under a proper and smooth morphism of schemes in characteristic p p , the higher direct images an overconvergent alttext="upper F"> F encoding="application/x-tex">F -isocrystal are -isocrystals. In this paper we prove is true for crystals up to isogeny. As application Künneth formula crystalline fundamental group scheme.
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ژورنال
عنوان ژورنال: Journal of Algebraic Geometry
سال: 2022
ISSN: ['1534-7486', '1056-3911']
DOI: https://doi.org/10.1090/jag/789