Mathematical Research Letters

Volume 27 (2020)

Number 6

The Chow cohomology of affine toric varieties

Pages: 1645 – 1667

DOI: https://dx.doi.org/10.4310/MRL.2020.v27.n6.a3

Authors

Dan Edidin (Department of Mathematics, University of Missouri, Columbia, Mo., U.S.A.)

Ryan Richey (Department of Mathematics, University of Missouri, Columbia, Mo., U.S.A.)

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.

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The first-named author was supported by Simons Collaboration Grant 315460.

Received 30 April 2019

Accepted 2 August 2020

Published 17 February 2021