On fibrations approaching the Arakelov equality
نویسندگان
چکیده
Abstract The sum of Lyapunov exponents $$L_f$$ L f a semi-stable fibration is the ratio degree Hodge bundle by Euler characteristic base. This bounded from above Arakelov inequality. Sheng-Li Tan showed that for fiber genus $$g\ge 2$$ g ≥ 2 equality never attained. We investigate whether there are sequences fibrations approaching asymptotically bound. answer turns out to be no, if smooth, or non-hyperelliptic, has small base genus. Moreover, we construct examples showing Teichmüller curves not attaining maximal possible value .
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2021
ISSN: ['1432-1823', '0025-5874']
DOI: https://doi.org/10.1007/s00209-021-02847-y