A New Definition of the Steenrod Operations in Algebraic Geometry

Details A New Definition of the Steenrod Operations in Algebraic Geometry A New Definition of the Steenrod Operations in Algebraic Geometry

2008-05-09

arxiv.org/abs/0805.1414v1

Mathematics

K-Theory and Homology

Scientific paper

The Steenrod operations (mod p) in Chow theory are defined for any prime p for a quasi-projective scheme, without appealing to the results of any domain but Milnor's K-theory. The new definition also gives a direct formula that depends only on the scheme itself. Additionally, basic properties of the operations are proved from the new definition. The idea is based on a construction of M. Rost.

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