5 citations · 11 across the 5 of their papers we have counts for
6 papers · 1 filter
A characterization of ball quotient stacks
Chirantan Chowdhury, Matteo Costantini, Aryaman Patel
We characterize smooth proper Deligne-Mumford stacks that arise as compactifications of ball quotient stacks . Moreover, we show that every ball quo…
Milnor-Wood inequality for klt varieties of general type and uniformization
Matteo Costantini, Daniel Greb
We generalize the definition of the Toledo invariant for representations of fundamental groups of smooth varieties of general type due to Koziarz and Maubon to the context of singu…
Chern classes of linear submanifolds with application to spaces of k-differentials and ball quotients
Matteo Costantini, Martin Möller, 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…
On the Kodaira dimension of moduli spaces of Abelian differentials
Dawei Chen, Matteo Costantini, Martin Möller
This paper lays the foundation for determining the Kodaira dimension of the projectivized strata of Abelian differentials with prescribed zero and pole orders in large genus. We wo…
diffstrata -- a Sage package for calculations in the tautological ring of the moduli space of Abelian differentials
Matteo Costantini, Martin Möller, Jonathan Zachhuber
The boundary of the multi-scale differential compactification of strata of abelian differentials admits an explicit combinatorial description. However, even for low-dimensional str…
The Chern classes and the Euler characteristic of the moduli spaces of abelian differentials
Matteo Costantini, Martin Möller, Jonathan Zachhuber
For the moduli spaces of Abelian differentials, the Euler characteristic is one of the most basic intrinsic topological invariants. We give a formula for the Euler characteristic t…