Alladi Ramakrishnan Hall

Smash nilpotent cycles on varieties dominated by products of curves

Ronnie Sebastian

IMSc

The standard conjectures predict that numerical and homological equivalence on algebraic cycles on smooth projective varieties coincide. Voevodsky introduced the notion of smash equivalence and conjectured that it coincides with numerical equivalence. Homological equivalence lies between numerical and smash equivalence and Voevodsky's conjecture would imply that all three of these coincide. In this talk we show that this is true for one dimensional cycles on varieties dominated by products of curves.