Matteo Costantini

collaborators

3 papers

math.AG2026

A characterization of ball quotient stacks

Chirantan Chowdhury, Matteo Costantini, Aryaman Patel

We characterize smooth proper Deligne-Mumford stacks $X$ that arise as compactifications of ball quotient stacks $[B^{d} /Γ]$ . Moreover, we show that every ball quo…

math.AG2025

Chern classes of linear submanifolds with application to spaces of k-differentials and ball quotients

Matteo Costantini, Martin MÃ¶ller, Johannes Schwab

We provide formulas for the Chern classes of linear submanifolds of the moduli spaces of Abelian differentials and hence for their Euler characteristic. This includes as special ca…

math.AG2025

Integrals of $I ¨ $ -classes on twisted double ramification cycles and spaces of differentials

Matteo Costantini, Adrien Sauvaget, Johannes Schmitt

We prove a closed formula for the integral of a power of a single $I ¨ $ -class on strata of $k$ -differentials. In many cases, these integrals correspond to intersection numbers on tw…

A characterization of ball quotient stacks

Chern classes of linear submanifolds with application to spaces of k-differentials and ball quotients

Integrals of I¨-classes on twisted double ramification cycles and spaces of differentials

Integrals of $I ¨ $ -classes on twisted double ramification cycles and spaces of differentials