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arXiv · 2506.06116

Fourier transforms and Abel-Jacobi theory

Younghan Bae·Sam Molcho·Aaron Pixton
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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.

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Younghan Bae, Sam Molcho, Aaron Pixton. 2025-06-06. Fourier transforms and Abel-Jacobi theory. https://arxiv.org/abs/2506.06116

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