Some new examples of smash-nilpotent algebraic cycles

TL;DR

This paper provides new examples of algebraic varieties where Voevodsky's conjecture that numerical and smash-equivalence of algebraic cycles coincide is confirmed, advancing understanding in algebraic cycle theory.

Contribution

The paper introduces new verified cases of Voevodsky's conjecture, expanding the class of varieties where smash-nilpotence and numerical equivalence are known to coincide.

Findings

Confirmed Voevodsky's conjecture for new classes of varieties

Extended previous work by Vial and Kahn-Sebastian

Contributed to the understanding of algebraic cycle equivalences

Abstract

Voevodsky has conjectured that numerical equivalence and smash-equivalence coincide for algebraic cycles on any smooth projective variety. Building on work of Vial and Kahn-Sebastian, we give some new examples of varieties where Voevodsky's conjecture is verified.