English

La conjecture du facteur direct

Algebraic Geometry 2016-09-02 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1609.00345,
  title  = {La conjecture du facteur direct},
  author = {Yves Andre},
  journal= {arXiv preprint arXiv:1609.00345},
  year   = {2016}
}

Comments

in French

R2 v1 2026-06-22T15:37:57.295Z