7 citations · 30 across the 13 of their papers we have counts for
14 papers
Arakelov inequalities and characterization of totally geodesic ball quotients in
Matteo Costantini, Daniel Greb, Carolina Tamborini
We establish an Arakelov inequality for variations of Hodge structures underlying families of principally polarized complex Abelian varieties. In the equality case, this leads to a…
Euler characteristics of strata of -differentials
Matteo Costantini, Alessandro Giacchetto, Martin Möller +2
We compute the orbifold Euler characteristics of strata of -differentials on the moduli space of smooth pointed curves. Our main result is a closed coefficient-extraction formul…
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…
Gap between Lyapunov exponents for Hitchin representations
Matteo Costantini, Florestan Martin-Baillon
We study Lyapunov exponents for flat bundles over hyperbolic curves defined via parallel transport over the geodesic flow. We consider them as invariants on the space of Hitchin re…
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…
Numeric Lyndon-based feature embedding of sequencing reads for machine learning approaches
Paola Bonizzoni, Matteo Costantini, Clelia De Felice +7
Feature embedding methods have been proposed in literature to represent sequences as numeric vectors to be used in some bioinformatics investigations, such as family classification…
Integrals of -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 -class on strata of -differentials. In many cases, these integrals correspond to intersection numbers on twi…
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…
The area is a good enough metric
Matteo Costantini, Martin Möller, Jonathan Zachhuber
In the first part we extend the construction of the smooth normal-crossing divisors compactification of projectivized strata of abelian differentials given by Bainbridge, Chen, Gen…
Lyapunov exponents, holomorphic flat bundles and de Rham moduli space
Matteo Costantini
We consider Lyapunov exponents for flat bundles over hyperbolic curves defined via parallel transport over the geodesic flow. We refine a lower bound obtained by Eskin, Kontsevich,…
The equation of the Kenyon-Smillie -Teichmüller curve
Matteo Costantini, André Kappes
We compute the algebraic equation of the universal family over the Kenyon-Smillie -Teichmüller curve and give a nice geometric description of the torsion map. Moreover, we…