In this note we construct Teichmüller space by patching together Kuranishi families. We also discuss the basic properties of Teichmüler space, and in particular show that our construction leads to simplifications in the proof of Teichmüller’s theorem asserting that the genus g Teichmüller space is homeomorphic to a (6g ? 6)-dimensional ball.
Characterizing Jacobians via flexes of the Kummer variety / Arbarello, Enrico; I., Krichever; G., Marini. - In: MATHEMATICAL RESEARCH LETTERS. - ISSN 1073-2780. - 13:(2006), pp. 109-124.
Characterizing Jacobians via flexes of the Kummer variety
ARBARELLO, Enrico;
2006
Abstract
In this note we construct Teichmüller space by patching together Kuranishi families. We also discuss the basic properties of Teichmüler space, and in particular show that our construction leads to simplifications in the proof of Teichmüller’s theorem asserting that the genus g Teichmüller space is homeomorphic to a (6g ? 6)-dimensional ball.File allegati a questo prodotto
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