LE «LEMME D'ABHYANKAR» PERFECTOIDE

Abstract : 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 on the discriminant. The key point is a perfectoid version of Riemann's extension theorem. Categorical aspects of uniform Banach algebras and perfectoid algebras are revisited beforehand.
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https://hal.archives-ouvertes.fr/hal-01357331
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Submitted on : Monday, August 29, 2016 - 4:21:26 PM
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Yves André. LE «LEMME D'ABHYANKAR» PERFECTOIDE. 2016. 〈hal-01357331〉

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