most recent 30 from http://mathoverflow.net 2013-05-22T00:57:55Z http://mathoverflow.net/feeds/question/56929 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/56929/d-modules-on-rigid-analytic-spaces Anonymous 2011-02-28T22:21:57Z 2011-03-01T09:49:04Z

<p>Is there a good notion of holonomic $D$-modules on rigid analytic spaces? </p>

http://mathoverflow.net/questions/56929/d-modules-on-rigid-analytic-spaces/56983#56983 Simon Wadsley 2011-03-01T09:49:04Z 2011-03-01T09:49:04Z

<p>Yes. Although it is only beginning to be developed.</p> <p>You probably want to start with Berthelot: D-modules arithmétiques I : Opérateurs différentiels de niveau fini and Introduction à la théorie arithmétique des D-modules, and other papers that can be found at <a href="http://perso.univ-rennes1.fr/pierre.berthelot/" rel="nofollow">http://perso.univ-rennes1.fr/pierre.berthelot/</a> Section 5 of the second paper I mentioned is perhaps most relevant.</p> <p>There is also a recent paper of Caro which I cannot find online called 'Holonomie sans structure de Frobenius et criteres d'Holonomie' which removes the necessity of the Frobenius action from Berhelot's work. I suppose he would send you a copy of upon request.</p> <p>Finally, in a piece of shameless self-advertising, Konstantin Ardakov and I recently put a preprint on the arXiv <a href="http://arxiv.org/abs/1102.2606" rel="nofollow">http://arxiv.org/abs/1102.2606</a> part of which seeks to find a framework to further develop the theory. </p>