Siegel modular forms arising from higher Chow cycles
Algebraic Geometry
2025-05-27 v2 Number Theory
Abstract
We prove that the infinitesimal invariant of a higher Chow cycle of type (2,3-g) on a generic abelian variety of dimension g<4 gives rise to a meromorphic Siegel modular form of (virtual) weight Sym^{4}det^{-1} with bounded singularity, and that this construction is functorial with respect to rank 1 degeneration, namely the K-theory elevator for the cycle corresponds to the Siegel operator for the modular form.
Cite
@article{arxiv.2505.04465,
title = {Siegel modular forms arising from higher Chow cycles},
author = {Shouhei Ma},
journal= {arXiv preprint arXiv:2505.04465},
year = {2025}
}