WEIERSTRASS FILTRATION ON TEICHMULLER CURVES AND LYAPUNOV EXPONENTS

被引：14
|
作者：
Yu, Fei [1 ]
Zuo, Kang [1 ]
机构：
[1] Johannes Gutenberg Univ Mainz, Fachbereich Phys Math & Informat 08, D-55099 Mainz, Germany
来源：
JOURNAL OF MODERN DYNAMICS | 2013年 / 7卷 / 02期
关键词：
Teichmuller curves; Lyapunov exponents; Harder-Narasimhan filtration; HILBERT MODULAR SURFACES; TILED CYCLIC COVERS; ABELIAN DIFFERENTIALS; SPACES; VARIETIES; SHIMURA;
D O I：
10.3934/jmd.2013.7.209
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We define the Weierstrass filtration for Teichmuller curves and construct the Harder-Narasimhan filtration of the Hodge bundle of a Teichmuller curve in hyperelliptic loci and low-genus nonvarying strata. As a result we obtain the sum of Lyapunov exponents of Teichmuller curves in these strata.
引用
收藏
页码：209 / 237
页数：29
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