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Preprints, Working Papers, ... Year : 2020

Twisted differential operators and q-crystals

Abstract

We describe explicitly the q-PD-envelopes considered by Bhatt and Scholze in their recent theory of q-crystalline cohomology and explain the relation with our notion of a divided polynomial twisted algebra. Together with an interpretation of crystals on the q-crystalline site, that we call q-crystals, as modules endowed with some kind of stratification, it allows us to associate a module on the ring of twisted differential operators to any q-crystal.
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Dates and versions

hal-02559467 , version 1 (30-04-2020)

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Michel Gros, Bernard Le Stum, Adolfo Quirós. Twisted differential operators and q-crystals. 2020. ⟨hal-02559467⟩
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