Geography of the Teichmüller stack

Fuente: arXiv
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Main Author: Meersseman, Laurent
Format: Preprint
Published: 2024
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author Meersseman, Laurent
author_facet Meersseman, Laurent
contents In this article, we describe the geography of the Teichmüller 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 Kähler setting.
format Preprint
id arxiv_https___arxiv_org_abs_2409_00072
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Geography of the Teichmüller stack
Meersseman, Laurent
Complex Variables
Differential Geometry
In this article, we describe the geography of the Teichmüller 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 Kähler setting.
title Geography of the Teichmüller stack
topic Complex Variables
Differential Geometry
url https://arxiv.org/abs/2409.00072