Geography of the Teichm\"uller stack
Abstract
In this article, we describe the geography of the Teichm\"uller stack of 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.
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