论文标题

卡地亚变换和棱柱形晶体

Cartier transform and prismatic crystals

论文作者

Gros, Michel, Stum, Bernard Le, Quirós, Adolfo

论文摘要

我们表明,可以通过明确的局部Q-Twist的Simpson对应关系在本地识别类别的抽象等效性,称为Cartier变换,Q-Cristaline和Prismatic位点之间的晶体之间的抽象等效性。这建立了四个与相关的共同体理论兼容的等价。我们将自己限制为简单,以限制一个情况。

We show that the abstract equivalence of categories, called Cartier transform, between crystals on the q-crystalline and prismatic sites can be locally identified with the explicit local q-twisted Simpson correspondence. This establishes four equivalences that are all compatible with the relevant cohomology theories. We restrict ourselves for simplicity to the dimension one situation.

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