Degeneration of the modified diagonal cycle
Algebraic Geometry
2014-11-07 v3
Abstract
In this note, we revisit the modified diagonal cycle of Gross and Schoen. We look at degenerations of this cycle, induced by a degeneration of the curve C, and explain how the specialization map with respect to the central fiber produces a higher Chow cycle. When C is non-hyperelliptic of genus three, and degenerates to a nodal curve, the degeneration of the cycle corresponds to an indecomposable higher Chow cycle on a curve of genus two.
Cite
@article{arxiv.1401.2796,
title = {Degeneration of the modified diagonal cycle},
author = {Jaya N. Iyer and Stefan Müller-Stach},
journal= {arXiv preprint arXiv:1401.2796},
year = {2014}
}
Comments
13 pages, some corrections, drastic cut in length