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Arithmetic 𝒟-modules on the unit disk. With an appendix by Shigeki Matsuda

Published online by Cambridge University Press:  09 November 2011

Richard Crew*
Affiliation:
Department of Mathematics, The University of Florida, Gainesville, FL 32601, USA (email: rcrew@ufl.edu)
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Abstract

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Let 𝒱 be a complete discrete valuation ring of mixed characteristic. We classify arithmetic 𝒟-modules on Spf(𝒱[[t]]) up to certain kind of ‘analytic isomorphism’. This result is used to construct canonical extensions (in the sense of Katz and Gabber) for objects of this category.

Type
Research Article
Copyright
Copyright © Foundation Compositio Mathematica 2011

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