Geography of the Teichm\"uller stack
Complex Variables
2024-10-25 v2 Differential Geometry
Abstract
In this article, we describe the geography of the Teichm\"uller stack of \cite{LMStacks} and of one of its variants we introduce here, giving some answers to questions as: which points are orbifold points? What are the different local models of special points?... We give a rough description in the general case, and we use the compacity of the cycle spaces to get a much more detailed picture in the K\"ahler setting.
Cite
@article{arxiv.2409.00072,
title = {Geography of the Teichm\"uller stack},
author = {Laurent Meersseman},
journal= {arXiv preprint arXiv:2409.00072},
year = {2024}
}
Comments
This paper subsumes arXiv:1709.07237 v2 : section 12 completely rewritten and main conjecture expanded