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A homotopy exact sequence for overconvergent isocrystals
Publication available at: | https://arxiv.org/abs/1704.07574 |
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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 Mathematics |