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arXiv · 2010.04433

Twisted differential operators of negative level and prismatic crystals

Michel Gros·Bernard Le Stum·Adolfo Quirós
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Abstract

We introduce twisted differential calculus of negative level and prove a descent theorem: Frobenius pullback provides an equivalence between finitely presented modules endowed with a topologically quasi-nilpotent twisted connection of level minus one and those of level zero. We explain how this is related to the existence of a Cartier operator on prismatic crystals. For the sake of readability, we limit ourselves to the case of dimension one.

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Michel Gros, Bernard Le Stum, Adolfo Quirós. 2020-10-09. Twisted differential operators of negative level and prismatic crystals. https://arxiv.org/abs/2010.04433

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