Conjectural Large Genus Asymptotics of Masur–Veech Volumes and of Area Siegel–Veech Constants of Strata of Quadratic Differentials

We state conjectures on the asymptotic behavior of the Masur–Veech volumes of strata in the moduli spaces of meromorphic quadratic differentials and on the asymptotics of their area Siegel–Veech constants as the genus tends to infinity.

Saved in:
Bibliographic Details
Published in:Arnold mathematical journal 2020-06, Vol.6 (2), p.149-161
Main Authors: Aggarwal, Amol, Delecroix, Vincent, Goujard, Élise, Zograf, Peter, Zorich, Anton
Format: Article
Language:English
Subjects:
Asymptotic properties
Mathematics
Mathematics and Statistics
Problem Contribution
Strata
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We state conjectures on the asymptotic behavior of the Masur–Veech volumes of strata in the moduli spaces of meromorphic quadratic differentials and on the asymptotics of their area Siegel–Veech constants as the genus tends to infinity.
ISSN:2199-6792
2199-6806
DOI:10.1007/s40598-020-00139-7