Fourier transforms and Abel-Jacobi theory

Fuente: arXiv
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Auteurs principaux: Bae, Younghan, Molcho, Sam, Pixton, Aaron
Format: Preprint
Publié: 2025
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author Bae, Younghan
Molcho, Sam
Pixton, Aaron
author_facet Bae, Younghan
Molcho, Sam
Pixton, Aaron
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2506_06116
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Fourier transforms and Abel-Jacobi theory
Bae, Younghan
Molcho, Sam
Pixton, Aaron
Algebraic Geometry
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.
title Fourier transforms and Abel-Jacobi theory
topic Algebraic Geometry
url https://arxiv.org/abs/2506.06116