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Reduced Steenrod operations and resolution of singularities

Published online by Cambridge University Press:  07 July 2011

Olivier Haution
Olivier Haution
Affiliation:
School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, United Kingdomolivier.haution@gmail.com
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Abstract

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 considered 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.

Keywords

Steenrod operationsRiemann-Roch theoremChow groups
Type
Research Article
Information
Journal of K-Theory , Volume 9 , Issue 2 , April 2012 , pp. 269 - 290
Copyright
Copyright © ISOPP 2011

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