Specialization of cycles and the K-theory elevator

A general specialization map is constructed for higher Chow groups and used to prove a "going-up" theorem for algebraic cycles and their regulators. The results are applied to study the degeneration of the modified diagonal cycle of Gross and Schoen, and of the coordinate symbol on a genus...

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Bibliographic Details
Main Authors del Angel, Pedro Luis, Doran, Charles, Iyer, Jaya, Kerr, Matt, Lewis, James D, Müller-Stach, Stefan, Patel, Deepam
Format Journal Article
LanguageEnglish
Published 16.04.2017
Subjects
Mathematics - Algebraic Geometry
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Summary:A general specialization map is constructed for higher Chow groups and used to prove a "going-up" theorem for algebraic cycles and their regulators. The results are applied to study the degeneration of the modified diagonal cycle of Gross and Schoen, and of the coordinate symbol on a genus-2 curve.
DOI:10.48550/arxiv.1704.04779