Teichmüller曲线的一个判据
A criterion for being a Teichmüller curve
摘要：
Teichmüller曲线在多边形台球的动力学研究中起着重要的作用。本文给出了一个类似于原Möller判别法的判别法，用以判别嵌入在Riemann曲面的模空间中并具有Hodge丛的线子丛的复曲线是否为Teichmüller曲线，并给出了该判别法的动力学证明.
英文摘要：
Teichmüller curves play an important role in the study of dynamics in polygonal billiards. In this article, we provide a criterion similar to the original Möller's criterion, to detect whether a complex curve, embedded in the moduli space of Riemann surfaces and endowed with a line subbundle of the Hodge bundle, is a Teichmüller curve, and give a dynamical proof of this criterion.
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