Lyapunov Exponents of Rank 2-Variations of Hodge Structures and Modular Embeddings

2013/03/05 by André Kappes, Kappes, André
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #math.AG #math.DS

paper · pdf · doi:10.48550/arxiv.1303.1088

22 pages, 4 figures; accepted version to be published in Ann. Inst. Fourier (Grenoble)

openalex publication_date 2013/03/05 · arxiv created 2013/08/22 · arxiv updated 2013/08/23 · openalex created_date 2022/09/17 · openalex updated_date 2026/07/28

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.

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