The cone theorem and the vanishing of Chow cohomology
arXiv:2002.00083
Abstract
We show that a cone theorem for ${\mathbbA}^1-homotopy invariant contravariant functors implies the vanishing of the positive degree part of the operational Chow cohomology rings of a large class of affine varieties. We also discuss how this vanishing relates to a number of questions about representing Chow cohomology classes of GIT quotients in terms of equivariant cycles.
To appear in the Proceedings of the Fulton 80th birthday conference