$d$-elliptic loci and the Torelli map
Algebraic Geometry
2024-09-10 v3
Abstract
We show that two natural cycle classes on the moduli space of compact type stable maps to a varying elliptic curve agree. The first is the virtual fundamental class from Gromov-Witten theory, and the second is the Torelli pullback of the special cycle on A_g of principally polarized abelian varieties admitting an elliptic isogeny factor.
Cite
@article{arxiv.2404.10826,
title = {$d$-elliptic loci and the Torelli map},
author = {François Greer and Carl Lian},
journal= {arXiv preprint arXiv:2404.10826},
year = {2024}
}
Comments
minor changes, accepted version to appear in Math. Res. Lett