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Transactions of the American Mathematical Society
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Steenrod operations in Chow theory

Author(s): Patrick Brosnan
Journal: Trans. Amer. Math. Soc. 355 (2003), 1869-1903.
MSC (2000): Primary 14C25; Secondary 55N91
Posted: January 10, 2003
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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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Additional Information:

Patrick Brosnan
Affiliation: Department of Mathematics, University of California, Los Angeles, California
Email: pbrosnan@math.ucla.edu

DOI: 10.1090/S0002-9947-03-03224-0
PII: S 0002-9947(03)03224-0
Received by editor(s): January 10, 2000
Received by editor(s) in revised form: September 15, 2000
Posted: January 10, 2003
Copyright of article: Copyright 2003, American Mathematical Society


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