English

Lagrangianity for log extendable overconvergent $F$-isocrystals

Algebraic Geometry 2017-02-07 v2

Abstract

In the framework of Berthelot's theory of arithmetic D\mathcal{D}-modules, we prove that Berthelot's characteristic variety associated with a holonomic D\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 FF-isocrystal.

Keywords

Cite

@article{arxiv.1504.03969,
  title  = {Lagrangianity for log extendable overconvergent $F$-isocrystals},
  author = {Daniel Caro},
  journal= {arXiv preprint arXiv:1504.03969},
  year   = {2017}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1411.2933