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

页码：209 / 237

页数：29

共 25 条

[1] [Anonymous], 2013, ALGEBRAIC GEOM
[2] Arbarello E., 1985, Fundamental Principles of Mathematical Sciences, V267
[3] Euler characteristics of Teichmuller curves in genus two
Bainbridge, Matt
[J]. GEOMETRY & TOPOLOGY, 2007, 11 : 1887 - 2073
[4] Teichmuller curves, triangle groups, and Lyapunov exponents
Bouw, Irene I.
Moeller, Martin
[J]. ANNALS OF MATHEMATICS, 2010, 172 (01) : 139 - 185
[5] Bullock E. M., 2009, THESIS HARVARD U
[6] Chen D., ANN SCI ECO IN PRESS
[7] Nonvarying sums of Lyapunov exponents of Abelian differentials in low genus
Chen, Dawei
Moeller, Martin
[J]. GEOMETRY & TOPOLOGY, 2012, 16 (04) : 2427 - 2479
[8] Square-tiled surfaces and rigid curves on moduli spaces
Chen, Dawei
[J]. ADVANCES IN MATHEMATICS, 2011, 228 (02) : 1135 - 1162
[9] Moduli spaces of abelian differentials: The principal boundary, counting problems, and the Siegel-Veech constants
Eskin, A
Masur, H
Zorich, A
[J]. PUBLICATIONS MATHEMATIQUES DE L'IHES, NO 97, 2003, 97 (1): : 61 - 179
[10] LYAPUNOV SPECTRUM OF SQUARE-TILED CYCLIC COVERS
Eskin, Alex
Kontsevich, Maxim
Zorich, Anton
[J]. JOURNAL OF MODERN DYNAMICS, 2011, 5 (02) : 319 - 353

← 1 2 3 →