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The Theory of Teichmüller Spaces A View Towards Moduli Spaces of Kähler Manifolds

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Complex Manifolds

Abstract

Over the last five decades, beautiful results have been proved in the subject of Teichmüller theory. Recently this area has been influenced by the spirit of analytic and algebraic geometry as well as complex differential geometry. Deformation theory of compact complex manifolds was created in a seemingly independent way. Its methods are significantly different and, as opposed to its classical counterpart, deformation theory only provides a local solution of the classification problem. A (coarse) moduli space, i.e. a global parameter space for complex structures exists only under certain assumptions. The aim of this article is to discuss some aspects of Teichmüller theory and their relationships to recent results on moduli of compact complex manifolds.

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  1. Georg Schumacher
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Schumacher, G. (1998). The Theory of Teichmüller Spaces A View Towards Moduli Spaces of Kähler Manifolds. In: Complex Manifolds. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61299-2_5

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  • DOI: https://doi.org/10.1007/978-3-642-61299-2_5

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