Some nilpotence theorems for algebraic cycles

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.

arXiv comment10 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

References in corpus (3)

• The Fano variety of lines and rationality problem for a cubic hypersurface
• The standard conjectures for the variety of lines on a cubic hypersurface
• The Chow group mod $\ell$ for a product of elliptic curves