负能级和棱柱晶体的扭曲微分算子

IF 0.8 Q2 MATHEMATICS Tunisian Journal of Mathematics Pub Date : 2020-10-09 DOI:10.2140/tunis.2022.4.19
Michel Gros, B. L. Stum, Adolfo Quir'os
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引用次数: 3

摘要

引入负能级的扭曲微分,证明了一个下降定理:Frobenius回拉给出了具有拓扑拟幂零的负能级扭曲连接的有限呈现模与零能级扭曲连接之间的等价。我们解释了这与棱镜晶体上卡地亚算子的存在是如何相关的。为了便于阅读,我们将自己限制在维度1的情况下。
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Twisted differential operators of negative level and prismatic crystals
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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来源期刊
Tunisian Journal of Mathematics
Tunisian Journal of Mathematics Mathematics-Mathematics (all)
CiteScore
1.70
自引率
0.00%
发文量
12
期刊最新文献
On Poisson transforms for spinors Cartier transform and prismatic crystals Lifting N∞ operads from conjugacy data An explicit formula for the Benjamin–Ono equation Singularities of normal quartic surfaces, III : char = 2, nonsupersingular
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