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arXiv · 1704.04779

Specialization of cycles and the K-theory elevator

Pedro Luis del Angel·Charles Doran·Jaya Iyer·Matt Kerr·James D. Lewis·Stefan Müller-Stach·Deepam Patel
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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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Pedro Luis del Angel, Charles Doran, Jaya Iyer, Matt Kerr, James D. Lewis, Stefan Müller-Stach, Deepam Patel. 2017-04-16. Specialization of cycles and the K-theory elevator. https://arxiv.org/abs/1704.04779

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