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Permanent link (DOI): https://doi.org/10.7939/R30407

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Filtrations on higher Chow groups and arithmetic normal functions Open Access

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Other title
Subject/Keyword
Type of item
Thesis
Degree grantor
University of Alberta
Author or creator
Hernandez Castillo, Jose Jaime
Supervisor and department
Lewis, James D. (Department of Mathematical and Statistical Sciences)
Examining committee member and department
Department
Department of Mathematical and Statistical Sciences
Specialization

Date accepted
2011-12-02T16:50:52Z
Graduation date
2012-06
Degree
Doctor of Philosophy
Degree level
Doctoral
Abstract
We first recall the filtration on the higher Chow group of a complex smooth projective variety X as done by J. Lewis, and separately by M. Saito / M. Asakura and explain the various invariants (Mumford-Griffiths and de Rham), as well as the notion of arithmetic normal functions due to M. Kerr and J. Lewis. As in the case of Griffiths' use of normal functions to detect interesting cycles, we do the same thing for the higher Chow groups.
Language
English
DOI
doi:10.7939/R30407
Rights
License granted by Jose Jaime Hernandez Castillo (jhern@math.ualberta.ca) on 2011-12-01T22:27:02Z (GMT): Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. Where the thesis is converted to, or otherwise made available in digital form, the University of Alberta will advise potential users of the thesis of the above terms. The author reserves all other publication and other rights in association with the copyright in the thesis, and except as herein provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.
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