On the stability of the holonomicity without Frobenius structure: the case of curves

Details On the stability of the holonomicity without Frobenius structure: the case of curves On the stability of the holonomicity without Frobenius structure: the case of curves

2010-03-19

arxiv.org/abs/1003.3759v1

Mathematics

Algebraic Geometry

Scientific paper

By using Christol and Mebkhout's algebrization and finiteness theorem, we
prove that in the case of smooth curves, Berthelot's strongest conjecture on
the stability of holonomicity is still valid without Frobenius structure but
under some non-Liouville type hypotheses.

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