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arXiv · 1504.03969

Lagrangianity for log extendable overconvergent $F$-isocrystals

Daniel Caro
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Abstract

In the framework of Berthelot's theory of arithmetic $\mathcal{D}$-modules, we prove that Berthelot's characteristic variety associated with a holonomic $\mathcal{D}$-modules endowed with a Frobenius structure has pure dimension. As an application, we get the lagrangianity of the characteristic variety of a log extendable overconvergent $F$-isocrystal.

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Daniel Caro. 2015-04-15. Lagrangianity for log extendable overconvergent $F$-isocrystals. https://arxiv.org/abs/1504.03969

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