Lyapunov Exponents of variations of Hodge structures with G₂ monodromy

2021/04/27 by Genival da Silva, Silva, Genival da
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2104.12936

openalex publication_date 2021/04/27 · openalex created_date 2021/05/10 · openalex updated_date 2026/07/28

Abstract

We investigate the Lyapunov Exponents of a variation of Hodge structure which has G₂ as geometric monodromy group, and discuss formulas for the sum of positive Lyapunov Exponents of variations of Hodge structures of any weight.

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