LA CONJECTURE DU FACTEUR DIRECT

Abstract : ABSTRACT. M. Hochster conjectured that any finite extension of a regular commutative ring splits as a module. Building on his reduction to the case of an unramified complete regular local ring R of mixed characteristic, we propose a proof in the framework of P. Scholze's perfectoid theory. The main ingredients are the perfectoid " Abhyankar lemma" and an analysis of Kummer extensions of R by a thickening technique.
Liste complète des métadonnées

Cited literature [25 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01357338
Contributor : Yves Andre <>
Submitted on : Monday, August 29, 2016 - 4:25:49 PM
Last modification on : Thursday, January 11, 2018 - 6:27:34 AM
Document(s) archivé(s) le : Wednesday, November 30, 2016 - 2:39:35 PM

Files

FactDirect7.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01357338, version 1

Collections

Citation

Yves André. LA CONJECTURE DU FACTEUR DIRECT. 2016. ⟨hal-01357338⟩

Share

Metrics

Record views

123

Files downloads

171