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arXiv · 1310.3229

Overconvergent Chern Classes and Higher Cycle Classes

Veronika Ertl
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Abstract

The goal of this work is to construct integral Chern classes and higher cycle classes for a smooth variety over a perfect field of characteristic p>0 that are compatible with the rigid Chern classes defined by Petrequin. The Chern classes we define have coefficients in the overconvergent de Rham-Witt complex of Davis, Langer and Zink and the construction is based on the theory of cycle modules discussed by Rost. We prove a comparison theorem in the case of a quasi-projective variety.

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Veronika Ertl. 2014-06-15. Overconvergent Chern Classes and Higher Cycle Classes. https://arxiv.org/abs/1310.3229

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