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math.AG2017★ 1 cited
Some nilpotence theorems for algebraic cycles
Humberto A. Diaz
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.
math.AG2017★ 1 cited
The Chow group mod for a product of elliptic curves
Humberto A. Diaz
Generalizing work of Schoen, we prove that the Chow group modulo of a product of or more very general complex elliptic curves is infinite.
math.AG2017★ 1 cited
The standard conjectures for the variety of lines on a cubic hypersurface
Humberto A. Diaz
The purpose of this note is to prove Grothendieck's standard conjectures for the Fano variety of lines on a smooth cubic hypersurface in projective space.