4 papers
Intersections of special cycles on Shimura curves and Siegel Maass forms
Jan Hendrik Bruinier, Yingkun Li, Martin Möller
We show that the generating series of the number of pairs of geodesics on a compact Shimura curve with given discriminants and intersection angle are coefficients of a non-holomorp…
The Kodaira dimension of even spin strata of Abelian differentials
Andrei Bud, Dawei Chen, Martin Möller
The even spin components of the strata of Abelian differentials are difficult to handle from a birational geometry perspective due to the fact that their spin line bundles have mor…
Wall-crossing formulas via spectral networks
Johannes Horn, Martin Möller
We give a self-contained proof of the Kontsevich-Soibelman wall-crossing formula entirely in the scope of quadratic differentials without relying on input from DT theory. Our appro…
Area Siegel--Veech constants for affine invariant submanifolds of REL zero
Dawei Chen, Elise Goujard, Martin Möller
We describe the principal boundary of an arbitrary affine invariant submanifold of REL zero in terms of level graphs of the multi-scale compactification of strata of Abelian differ…