3 papers
math.AG2022
Cylinder counts and spin refinement of area Siegel-Veech constants
Jan-Willem van Ittersum, Adrien Sauvaget
We study the area Siegel-Veech constants of components of strata of abelian differentials with even or odd spin parity. We prove that these constants may be computed using either:…
math.GT2019
The Large genus asymptotic expansion of Masur-Veech volumes
Adrien Sauvaget
We study the asymptotic behavior of Masur-Veech volumes as the genus goes to infinity. We show the existence of a complete asymptotic expansion of these volumes that depends only o…
math.AG2017
Tau functions, Prym-Tyurin classes and loci of degenerate differentials
Dmitri Korotkin, Adrien Sauvaget, Peter Zograf
We study the rational Picard group of the projectivized moduli space of holomorphic n-differentials on complex genus g stable curves. We define (n - 1) natural classes in this Pica…