Andrea Di Lorenzo

collaborators

4 papers

math.AG2024

Stable maps to quotient stacks with a properly stable point

Andrea Di Lorenzo, Giovanni Inchiostro

We compactify moduli stacks of maps from curves to a large class of quotient stacks $[W / G]$ admitting projective good moduli spaces. Our construction extends quasimap-theoretic com…

math.AG2024

Wall-crossing integral Chow rings of $M_{1, n}$

Luca Battistella, Andrea Di Lorenzo

We compute the integral Chow rings of $M_{1, n}$ for $n = 3, 4$ . For $n \leq 6$ , these stacks can be obtained by a sequence of weighted blow-ups and blow-downs from…

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…

math.AG2023

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…

Stable maps to quotient stacks with a properly stable point

Wall-crossing integral Chow rings of M1,n​

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

A criterion for smooth weighted blow-downs

Wall-crossing integral Chow rings of $M_{1, n}$