The chow cohomology of affine toric varieties

2019/04/17 by Edidin, Dan, Richey, Ryan
#14C15 #14F43 #14M25 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1904.08476

Abstract

We study the Fulton-Macpherson Chow cohomology of affine toric varieties. In particular, we prove that the Chow cohomology vanishes in positive degree. We prove an analogous result for the operational K-theory defined by Anderson and Payne.

Related

• The cone theorem and the vanishing of Chow cohomology
• Chow theory of toric variety bundles
• Construction of logarithmic cohomology theories II: On Chow groups
• Vanishing theorem for the cohomology of line bundles on Bott-Samelson varieties
• Oriented Borel-Moore homologies of toric varieties