78 citations · 126 across the 4 of their papers we have counts for
5 papers
Le lemme d'Abhyankar perfectoide
Yves Andre
We extend Faltings's "almost purity theorem" on finite etale extensions of perfectoid algebras (as generalized by Scholze and Kedlaya-Liu) to the ramified case, without restriction…
Idées galoisiennes
Yves André
Classical applications of Galois theory concern algebraic numbers and algebraic functions. Still, the night before his duel, Galois wrote that his last mathematical thoughts had be…
Structure des connexions méromorphes formelles de plusieurs variables et semi-continuité de l'irrégularité
Yves André
We prove Malgrange's conjecture on the absence of confluence phenomena for integrable meromorphic connections. More precisely, if is a complex-analytic fibration by smoot…
Filtrations de type Hasse-Arf et monodromie p-adique
Yves André
One proves the Crew-Tsuzuki "p-adic local monodromy conjecture" (for local fields of characteristic p>0).
Séries Gevrey de type arithmétique, II. Transcendance sans transcendance
Yves André
In this second part, we study the Diophantine properties of values of arithmetic Gevrey series of non-zero order at algebraic points. We rely on the fact, proved in the first part,…