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Twisted differential
operators of negative level and prismatic crystals
Michel Gros, Bernard Le Stum and Adolfo Quirós |
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Vol. 4 (2022), No. 1, 19–54
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DOI: 10.2140/tunis.2022.4.19
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Abstract |
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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 quasinilpotent twisted connection of level minus one and those of level zero. We explain how this is related to the existence of a Cartier transform on prismatic crystals. For the sake of readability, we limit ourselves to the case of dimension one. |
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Keywords
prism, crystal, differential operator
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Mathematical Subject Classification
Primary: 05A30, 13N10, 14F30, 14F40
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Milestones
Received: 9 October 2020
Revised: 23 March 2021
Accepted: 22 April 2021
Published: 30 March 2022
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Authors |
| Michel Gros | |
| CNRS UMR 6625, IRMAR Université de Rennes 1 Campus de Beaulieu 35042 Rennes Cedex France |
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| Bernard Le Stum | |
| Institut de Recherche Mathematique
(IRMAR) Universite de Rennes I 263 Avenue du General Leclerc CS 74205 35042 Rennes CEDEX France |
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| Adolfo Quirós | |
| Departamento de Matemáticas Universidad Autónoma de Madrid Campus de Cantoblanco 28049 Madrid Spain |
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