3 citations · 7 across the 9 of their papers we have counts for
9 papers
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…
Completed volumes and the DR-cycle
Martin Möller, Miguel Prado
We show that the completed volumes introduced by Duriev-Goujard-Yakovlev as an approximation to compute Masur-Veech volumes via Witten-Kontsevich's combinatorial classes agrees wit…
Non-trivial and Non-tautological Cohomology of Strata of Differentials
Dawei Chen, Prabhat Devkota, Samuel Grushevsky +1
In this paper we construct various non-trivial and non-tautological cohomology classes on compactified and uncompactified strata of curves with a differential, by using the geometr…
A tale of two moduli spaces: logarithmic and multi-scale differentials
Dawei Chen, Samuel Grushevsky, David Holmes +2
Multi-scale differentials were constructed by M.~Bainbridge, D.~Chen, Q.~Gendron, S.~Grushevsky, and M.~Möller, from the viewpoint of flat and complex geometry, for the purpose of…
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…
Compactifying the rank two Hitchin system via spectral data on semistable curves
Johannes Horn, Martin Möller
We study resolutions of the rational map to the moduli space of stable curves that associates with a point in the Hitchin base the spectral curve. In the rank two case the answer i…
Euler characteristics of Gothic Teichmüller curves
Martin Möller, David Torres-Teigell
We compute the Euler characteristics of the recently discovered series of Gothic Teichmüller curves. The main tool is the construction of 'Gothic' Hilbert modular forms vanishing a…
Cones of Heegner divisors
Jan Hendrik Bruinier, Martin Möller
We show that the cone of primitive Heegner divisors is finitely generated for many orthogonal Shimura varieties, including the moduli space of polarized K3-surfaces. The proof reli…
The locus of real multiplication and the Schottky locus
Matt Bainbridge, Martin Möller
We prove that the generic point of a Hilbert modular four-fold is not a Jacobian. The proof uses degeneration techniques and is independent of properties of the mapping class group…