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.

中文翻译：

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仿射复曲面变种的周同调

我们研究仿射复曲面变种的Fulton–Macpherson Chow同构。特别是，我们证明了Chow同调性在肯定程度上消失了。我们证明了由Anderson和Payne定义的可操作$ K $理论的相似结果。