Weierstrass filtration on Teichmuller curves and Lyapunov exponents
Algebraic Geometry
2014-12-04 v6 Dynamical Systems
Abstract
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.
Keywords
Cite
@article{arxiv.1203.6053,
title = {Weierstrass filtration on Teichmuller curves and Lyapunov exponents},
author = {Fei Yu and Kang Zuo},
journal= {arXiv preprint arXiv:1203.6053},
year = {2014}
}
Comments
28 pages. Published version in Journal of Modern Dynamics. arXiv admin note: text overlap with arXiv:1104.3932 by other authors