Lyapunov Exponents of Rank 2-Variations of Hodge Structures and Modular Embeddings
classification
🧮 math.AG
math.DS
keywords
lyapunovmonodromyrankrepresentationassociatedcasecurvederive
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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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