Ronkin, Igor: Teichmüller curves in the Deligne-Mumford compactification. - Bonn, 2008. - Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn.
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author = {{Igor Ronkin}},
title = {Teichmüller curves in the Deligne-Mumford compactification},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2008,
volume = 390,
note = {

We study the intersection of the closure of a Teichmüller curve and the compactification divisor in the Delinge-Mumford compactification of the moduli space of Riemann surfaces. As an application, we evaluate the first Mumford-Morita class on the homology class defined by an abelian Teichmüller curve. We deduce the Weil-Petersson area of a Teichmüller curve, which depends mainly on the curve's Euler characteristics.


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