Steenrod operations in Chow theory

Author:
Patrick Brosnan

Journal:
Trans. Amer. Math. Soc. **355** (2003), 1869-1903

MSC (2000):
Primary 14C25; Secondary 55N91

DOI:
https://doi.org/10.1090/S0002-9947-03-03224-0

Published electronically:
January 10, 2003

MathSciNet review:
1953530

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Abstract | References | Similar Articles | Additional Information

Abstract: An action of the Steenrod algebra is constructed on the mod Chow theory of varieties over a field of characteristic different from , 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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Additional Information

**Patrick Brosnan**

Affiliation:
Department of Mathematics, University of California, Los Angeles, California

Email:
pbrosnan@math.ucla.edu

DOI:
https://doi.org/10.1090/S0002-9947-03-03224-0

Received by editor(s):
January 10, 2000

Received by editor(s) in revised form:
September 15, 2000

Published electronically:
January 10, 2003

Article copyright:
© Copyright 2003
American Mathematical Society