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arXiv:1704.04779 [math.AG]AbstractReferencesReviewsResources

Specialization of cycles and the K-theory elevator

Pedro Luis del Angel, Charles Doran, Jaya Iyer, Matt Kerr, James D. Lewis, Stefan Mueller-Stach, Deepam Patel

Published 2017-04-16Version 1

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.

Comments: 45 pages, 1 figure
Categories: math.AG
Subjects: 14C25, 19E15, 14C30
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