Steenrod operations in Chow theory

Brosnan, Patrick

doi:10.1090/S0002-9947-03-03224-0

Steenrod operations in Chow theory
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by Patrick Brosnan PDF

Trans. Amer. Math. Soc. 355 (2003), 1869-1903 Request permission

Abstract:

An action of the Steenrod algebra is constructed on the mod $p$ Chow theory of varieties over a field of characteristic different from $p$, answering a question posed in Fulton’s Intersection Theory. The action agrees with the action of the Steenrod algebra used by Voevodsky in his proof of the Milnor conjecture. However, the construction uses only basic functorial properties of equivariant intersection theory.

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