Some nilpotence theorems for algebraic cycles

2017/08/18 by Humberto A. Diaz, Diaz, Humberto A.
Mathematics · #14C15 #14C25 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #math.AG #msc:14C15 #msc:14C25

paper · pdf · doi:10.48550/arxiv.1708.05731

10 pages, more errors corrected. Some applications have been removed since they cannot be proved using the main result; these applications will be proved independently in a future paper

openalex publication_date 2017/08/18 · arxiv created 2018/02/14 · arxiv updated 2018/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using fundamental results of Deligne, we prove a nilpotence theorem for algebraic cycles and use this to prove a torsion nilpotence result for correspondences on surfaces.

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