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math.AG2016
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…
math.AG2007★ 48 cited
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…