Definition 42.34.1 (0B7E)—The Stacks project

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Table of contents
Part 3: Topics in Scheme Theory
Chapter 42: Chow Homology and Chern Classes
Section 42.34: Chow cohomology and the first Chern class
Definition 42.34.1 (cite)

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Definition 42.34.1. Let $(S, \delta )$ be as in Situation 42.7.1. Let $X$ be locally of finite type over $S$ . The Chow cohomology of $X$ is the graded $\mathbf{Z}$ -algebra $A^*(X)$ whose degree $p$ component is $A^ p(X \to X)$ .

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