S. Molcho

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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 $G$ over a toroidal base, in the cases where $G$ 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 $A_{g}$ : every cycle class decompose…

math.AG2024

Logarithmic double ramification cycles

D. Holmes, S. Molcho, R. Pandharipande +2

Let $A = (a_{1}, \dots, a_{n})$ be a vector of integers which sum to $k (2 g - 2 + n)$ . The double ramification cycle $DR_{g, A} \in CH^{g} (M_{g, n})$ on the moduli spac…

math.AG2024

Models of Jacobians of curves

David Holmes, Samouil Molcho, Giulio Orecchia +1

We show that the Jacobians of prestable curves over toroidal varieties always admit NÃ©ron models. These models are rarely quasi-compact or separated, but we also give a complete c…