Timeline for Differential structures on unit-root Frobenius modules
Current License: CC BY-SA 4.0
8 events
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| Mar 20 at 0:57 | history | edited | PULITA ANDREA | CC BY-SA 4.0 |
added 710 characters in body
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| Mar 20 at 0:51 | comment | added | PULITA ANDREA | Yes this is the right link | |
| Mar 20 at 0:51 | comment | added | PULITA ANDREA | In the following article he gives an idea of the steps of the proof Author = {Mebkhout, Zoghman}, Title = {On the monodromy theorem for the family of {{(p)}}-adic differential equations}, FJournal = {Bulletin de la Soci{\'e}t{\'e} Math{\'e}matique de France}, Journal = {Bull. Soc. Math. Fr.}, ISSN = {0037-9484}, Volume = {148}, Number = {4}, Pages = {651--708}, Year = {2020}, DOI = {10.24033/bsmf.2820}, | |
| Mar 20 at 0:49 | comment | added | PULITA ANDREA | This is the reference where Mebkhout proved Dwork conjecture : Mebkhout, Zoghman}, Title = {Frobenius structures and monodromy exponents of {{(p)}}-adic differential equations}, BookTitle = {Singularities I. Algebraic and analytic aspects. Proceedings of the international conference ``School and workshop on the geometry and topology of singularities'' in honor of the 60th birthday of L\^e D\~ung Tr\'ang, Cuernavaca, Mexico, January 8--26, 2007}, ISBN = {978-0-8218-4458-8}, Pages = {175--243}, Year = {2008}, Publisher = {Providence, RI: American Mathematical Society (AMS)}, | |
| Mar 18 at 23:46 | comment | added | LSpice | The links had rotted, so I tried filtering them through the Wayback Machine. The one to Christol's page re-directed to a site that itself seems only accessible by Wayback Machine; I left it as a Wayback link to a re-direct, although I think that Christol - Le théorème de Turrittin $p$-adique is probably the correct link. I didn't find the paper by Dwork you referenced, but I wonder if its contents are identical to, or overlap with, Dwork - On exponents of $p$-adic differential modules. | |
| Mar 18 at 23:43 | history | edited | LSpice | CC BY-SA 4.0 |
Names of links; Wayback'd rotted links
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| Mar 18 at 22:48 | comment | converted from answer | Lucas | I'm working on effectively computing generic radii in this context (building on your CRAS note An algorithm computing non-solvable spectral radii of $p$-adic differential equations). I believe that the proof of this conjecture by Z. Mebkhout could eventually provide an effective test to know if the algorithm proposed in your note has ended, assuming the rationality of exponents. Could you confirm if it has indeed been proved since 2012 ? I can't find any reference for such a proof. | |
| Feb 17, 2012 at 21:19 | history | answered | PULITA ANDREA | CC BY-SA 3.0 |