We prove an integrality property of the Chern character with values in Chow groups. As a consequence, we obtain a construction of the p- 1 first homological Steenrod operations on Chow groups modulo p and p-primary torsion, over an arbitrary field. We provide applications to the study of correspondences between algebraic varieties.
Haution, O. (2012). Integrality of the Chern character in small codimension. ADVANCES IN MATHEMATICS, 231(2), 855-878 [10.1016/j.aim.2012.04.030].
Integrality of the Chern character in small codimension
Haution, O
2012
Abstract
We prove an integrality property of the Chern character with values in Chow groups. As a consequence, we obtain a construction of the p- 1 first homological Steenrod operations on Chow groups modulo p and p-primary torsion, over an arbitrary field. We provide applications to the study of correspondences between algebraic varieties.
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