Finite Group Schemes over Bases with Low Ramification |
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Authors: | Brian Conrad |
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Affiliation: | (1) Department of Mathematics, Harvard University, Cambridge, MA o02138, U.S.A.; e-mail |
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Abstract: | Let A be a complete characteristic (0,p) discrete valuation ring with absolute ramification degree e and a perfect residue field. We are interested in studying the category FFA' of finite flat commutative group schemes over A withp-power order. When e= 1, Fontaine formulated the purely linear algebra notion of a finite Honda system over A and constructed an anti-equivalence of categories betweenineFFA'> and the category of finite Honda systems over A when p> 2. We generalize this theory to the case e – 1. |
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Keywords: | group scheme Dieudonné module Fontaine. |
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