A homotopy exact sequence for overconvergent isocrystals

نویسندگان

چکیده

In this article we prove exactness of the homotopy sequence overconvergent $p$-adic fundamental groups for a smooth and projective morphism in characteristic $p$. We do so by first proving corresponding result rigid analytic varieties $0$, following dos Santos algebraic case. $p$, then proceed series reductions to case liftable family curves, where can apply result.

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ژورنال

عنوان ژورنال: Forum of Mathematics, Sigma

سال: 2021

ISSN: ['2050-5094']

DOI: https://doi.org/10.1017/fms.2021.63