Cohomological dimension in pro-p-towers

2018/06/18 by Hélène Esnault, Esnault, Hélène
Mathematics · #Algebraic Geometry and Number Theory #Homotopy and Cohomology in Algebraic Topology #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1806.06488

Abstract

We give a proof without use of perfectoid geometry of Scholzes' vanishing theorem of étale cohomology with \mathbbF_p-coefficients beyond the dimension of projective varieties in a specific pro p-tower in characteristic not equal to p. Final version.

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