Fourier transforms and Abel-Jacobi theory
Algebraic Geometry
2025-12-18 v2
Abstract
We relate Fourier transforms between compactified Jacobians over the moduli space of stable curves to logarithmic Abel-Jacobi theory. As an application, we compute the pushforward of divisor monomials on compactified Jacobians in terms of the twisted double ramification cycle formula.
Cite
@article{arxiv.2506.06116,
title = {Fourier transforms and Abel-Jacobi theory},
author = {Younghan Bae and Sam Molcho and Aaron Pixton},
journal= {arXiv preprint arXiv:2506.06116},
year = {2025}
}
Comments
84 pages; v2. Sections 3.4, 5.4, 8.3, and 9.4 revised; main results unchanged