Specialization of cycles and the K-theory elevator
Algebraic Geometry
2018-09-06 v2
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.
Cite
@article{arxiv.1704.04779,
title = {Specialization of cycles and the K-theory elevator},
author = {Pedro Luis del Angel and Charles Doran and Jaya Iyer and Matt Kerr and James D. Lewis and Stefan Müller-Stach and Deepam Patel},
journal= {arXiv preprint arXiv:1704.04779},
year = {2018}
}
Comments
45 pages, 1 figure; minor revision