Covers of the projective line and the moduli space of quadratic differentials

被引：1

作者：

Chen, Dawei ^{[1
]}

机构：

[1] Boston Coll, Dept Math, Chestnut Hill, MA 02467 USA

来源：

GEOMETRIAE DEDICATA | 2013年 / 163卷 / 01期

关键词：

Branched cover; Moduli space of curves; Quadratic differential; Lyapunov exponent; TILED CYCLIC COVERS; STABLE CURVES;

D O I：

10.1007/s10711-012-9737-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Consider the Hurwitz space parameterizing covers of branched at four points. We study its intersection with divisor classes on the moduli space of curves. As applications, we calculate the slope of Teichmuller curves parameterizing square-tiled cyclic covers. In addition, we come up with a relation among the slope of Teichmuller curves, the sum of Lyapunov exponents and the Siegel-Veech constant for the moduli space of quadratic differentials, which yields information for the effective cone of the moduli space of curves.

引用

页码：105 / 125

页数：21

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