Specialization of cycles and the K-theory elevator

2017/04/16 by del Angel, Pedro Luis, Doran, Charles, Iyer, Jaya +4 · 1 citation
#14C25 #14C30 #19E15 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1704.04779

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.

Cited by

• Modular resurgence, q-Pochhammer symbols, and quantum operators from mirror curves

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• Degeneration of the modified diagonal cycle
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