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Rings of arithmetic differential operators on tubes

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Rings of arithmetic differential operators on tubes
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17
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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I will describe an extension of Berthelot's theory of arithmetic differential operators to a class of morphisms of adic formal schemes that are not necessarily of finite type, or even adic. If time permits I will explain how one can use this to give generalizations of the theory of convergent and overconvergent isocrystals.
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