Overconvergent chern classes and higher cycle classes

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Publication Type dissertation
School or College College of Science
Department Mathematics
Author Ertl, Veronika
Title Overconvergent chern classes and higher cycle classes
Date 2014-05
Description 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.
Type Text
Publisher University of Utah
Subject Arithmetic geometry; K-theory; p-adic Hodge theory
Dissertation Institution University of Utah
Dissertation Name Doctor of Philosophy
Language eng
Rights Management Copyright © Veronika Ertl 2014
Format Medium application/pdf
Format Extent 680,848 Bytes
Identifier etd3/id/2885
ARK ark:/87278/s6sr27mz
Setname ir_etd
ID 196454
Reference URL https://collections.lib.utah.edu/ark:/87278/s6sr27mz