3 papers
math.AG2026
On generalized Beauville decompositions
Younghan Bae, Davesh Maulik, Junliang Shen +1
Motivated by the Beauville decomposition of an abelian scheme and the "Perverse = Chern" phenomenon for a compactified Jacobian fibration, we study in this paper splittings of the…
math.AG2025
Fourier transforms and Abel-Jacobi theory
Younghan Bae, Sam Molcho, Aaron Pixton
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…
math.AG2025
The intrinsic cohomology ring of the universal compactified Jacobian over the moduli space of stable curves
Younghan Bae, Davesh Maulik, Junliang Shen +1
The purpose of this paper is to study the cohomology rings of universal compactified Jacobians. Over the moduli space of Deligne-Mumford stable marke…