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Can I read Cohérence Sur et Irrégularité Des Isocristaux Surconvergents de Rang 1 on EtoBox?
Cohérence Sur et Irrégularité Des Isocristaux Surconvergents de Rang 1 by Laurent Garnier is a Mathematics article available to read on EtoBox.
What is Cohérence Sur et Irrégularité Des Isocristaux Surconvergents de Rang 1 about?
Let X be a smooth curve defined over a perfect field of eharacteristic p, and #T a smooth formal scheme lifting X. Let £^£ be Berthelot's sheaf of infinite differential operators with overconvergence conditions at infinity. We show that, viewed äs a |• ® Q-module, every overconvergent rank one isocrystal defined over the rigid analytic space associated to 3 , is coherent over ^J-® Q provided some non-Liouville type condition on the residue is satisfied and we give an explicit presentation. The proof relies on Berthelot's localization functor for £^J-® Q-module äs well äs Robba's ideas for Computing indices of j?-adic differential equations of order one. Such a result illustrates Mebkhout's and Narvaez's theorem which states that coherence and finite index conditions are equivalent. We also investigate on such isocrystals and elementary ^ ® Q-modules what could be a general definition of irregularity of a holonomic £^|• ® Q-module.
Who reads Cohérence Sur et Irrégularité Des Isocristaux Surconvergents de Rang 1?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Laurent Garnier
- Publisher
- Walter de Gruyter GmbH
- Published
- 1997
- Language
- FR
- Field
- Mathematics (Physical Sciences)