A. Lorenzo

activity

20242026

collaborators

5 papers

math.AG2026

Integral Chow rings of modular compactifications of $M_{1, n \leq 6}$

Luca Battistella, Andrea Di Lorenzo

For $n \leq 6$ , we compute the integral Chow ring of every modular compactification of $M_{1, n}$ parametrising only Gorenstein curves with smooth, distinct markings. These…

math.AG2026

A criterion for smooth weighted blow-downs

Veronica Arena, Andrea Di Lorenzo, Giovanni Inchiostro +3

We establish a criterion for determining when a smooth Deligne-Mumford stack is a weighted blow-up. More precisely, given a smooth Deligne-Mumford stack $X$ and a Cartier…

math.AG2025

Cohomological invariants of $M_{3, n}$ via level structures

Andrea Di Lorenzo

We show that mod $2$ cohomological invariants of the moduli stack $M_{3, n}$ of smooth pointed curves of genus three contain a free module with generators in degree $0$ , $…

math.AG2025

Stable maps to quotient stacks with a properly stable point

Andrea Di Lorenzo, Giovanni Inchiostro

We compactify the moduli stack of maps from curves to certain quotient stacks $X = [W / G]$ with a projective good moduli space, extending previous results from quasimap theo…

math.AG2024

The Brauer groups of moduli of genus three curves, abelian threefolds and plane curves

Andrea Di Lorenzo, Roberto Pirisi

We compute the $ℓ$ -primary torsion of the Brauer group of the moduli stack of smooth curves of genus three over any field of characteristic different from two and the Brauer gro…

Integral Chow rings of modular compactifications of M1,n≤6​

A criterion for smooth weighted blow-downs

Cohomological invariants of M3,n​ via level structures

Stable maps to quotient stacks with a properly stable point

The Brauer groups of moduli of genus three curves, abelian threefolds and plane curves

Integral Chow rings of modular compactifications of $M_{1, n \leq 6}$

Cohomological invariants of $M_{3, n}$ via level structures