3 papers
math.AG2026
Birational Classification of Orbifold Compactified Jacobians
Jeremy Feusi, Sam Molcho
We study the equivariant orbifold birational classification problem for families of toroidal compactifications of a group over a toroidal base, in the cases where is an alg…
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
Tautological projection for cycles on the moduli space of abelian varieties
Samir Canning, Sam Molcho, Dragos Oprea +1
We define a tautological projection operator for algebraic cycle classes on the moduli space of principally polarized abelian varieties : every cycle class decompose…