Fourier transforms and Abel-Jacobi theory

Published 6 Jun 2025 in math.AG | (2506.06116v1)

Abstract: We connect Fourier transforms between compactified Jacobians over the moduli space of stable curves and logarithmic Abel-Jacobi theory. As an application, we compute the pushforward of monomials of divisors on compactified Jacobians in terms of the twisted double ramification cycle formula.

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