The WYSIWYG compactification
Dynamical Systems
2020-09-23 v3 Algebraic Geometry
Abstract
We show that the partial compactification of a stratum of Abelian differentials previously considered by Mirzakhani and Wright is not an algebraic variety. Despite this, we use a combination of algebro-geometric and other methods to provide a short, unconditional proof of Mirzakhani and Wright's formula for the tangent space to the boundary of a GL(2,R) orbit closure, and give new results on the structure of the boundary.
Keywords
Cite
@article{arxiv.1908.07436,
title = {The WYSIWYG compactification},
author = {Dawei Chen and Alex Wright},
journal= {arXiv preprint arXiv:1908.07436},
year = {2020}
}
Comments
Minor revisions, primarily to sections 7 and 8