Fourier transforms and Abel-Jacobi theory
arXiv:2506.06116
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.
84 pages; v2. Sections 3.4, 5.4, 8.3, and 9.4 revised; main results unchanged