A homotopy exact sequence for overconvergent isocrystals

Publication available at: https://arxiv.org/abs/1704.07574
Title: A homotopy exact sequence for overconvergent isocrystals
Authors: Lazda, C
Pal, A
Item Type: Working Paper
Abstract: n this article we prove exactness of the homotopy sequenceof overconvergentp-adic fundamentalgroups for a smooth and projective morphism in characteristicp. We do so by first proving a correspondingresult for rigid analytic varieties in characteristic 0, following dos Santos [dS15] in the algebraic case. Incharacteristicp, we then proceed by a series of reductions to the case of a liftable family of curves, where wecan apply the rigid analytic result.
Issue Date: 25-Apr-2017
URI: http://hdl.handle.net/10044/1/66468
Open Access location: https://arxiv.org/abs/1704.07574
Appears in Collections:Pure Mathematics

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