Reduced Steenrod operations and resolution of singularities

Details Reduced Steenrod operations and resolution of singularities Reduced Steenrod operations and resolution of singularities

2010-06-08

arxiv.org/abs/1006.1480v3

Mathematics

Algebraic Geometry

Final version, to appear in J. K-theory

Scientific paper

We give a new construction of a weak form of Steenrod operations for Chow groups modulo a prime number p for a certain class of varieties. This class contains projective homogeneous varieties which are either split or over a field admitting some form of resolution of singularities, for example any field of characteristic not p. These reduced Steenrod operations are sufficient for some applications to the theory of quadratic forms.

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