Specialization of cycles and the K-theory elevator

Published 16 Apr 2017 in math.AG | (1704.04779v2)

Abstract: 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.

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