Pullbacks of Brill-Noether Classes Under Abel-Jacobi Sections
Algebraic Geometry
2023-01-02 v1
Abstract
We prove that the pullbacks of the virtual fundamental classes of the Brill-Noether loci under any Abel-Jacobi section lie in the tautological ring of the moduli space of stable curves. This resolves a conjecture of Pagani, Ricolfi and van Zelm, and is part of a broader program to understand the logarithmic intersection theory of .
Cite
@article{arxiv.2212.14368,
title = {Pullbacks of Brill-Noether Classes Under Abel-Jacobi Sections},
author = {Sam Molcho},
journal= {arXiv preprint arXiv:2212.14368},
year = {2023}
}
Comments
21 pages. Any comments or suggestions welcome