Lyapunov Exponents of Rank 2-Variations of Hodge Structures and Modular Embeddings
Algebraic Geometry
2013-08-23 v3 Dynamical Systems
Abstract
If the monodromy representation of a VHS over a hyperbolic curve stabilizes a rank two subspace, there is a single non-negative Lyapunov exponent associated with it. We derive an explicit formula using only the representation in the case when the monodromy is discrete.
Keywords
Cite
@article{arxiv.1303.1088,
title = {Lyapunov Exponents of Rank 2-Variations of Hodge Structures and Modular Embeddings},
author = {André Kappes},
journal= {arXiv preprint arXiv:1303.1088},
year = {2013}
}
Comments
22 pages, 4 figures; accepted version to be published in Ann. Inst. Fourier (Grenoble)