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Weierstrass filtration on Teichmüller curves and Lyaponov exponents

Fei Yu, Kang Zuo

Number 10
Authors Kang Zuo
Fei Yu
Year 2012

We introduce Weierstrass filtration to Teichmüller curve. Base on nonvarying Weierstrass semigroup, we introduce Weierstrass exponent for Teichmüller curve according to Harder-Narasimhan filtration. Computing Weierstrass exponent in hyperelliptic locus and genus less than or equal five nonvarying stratum, regain the sum of Lyaponov exponent without knowledge of the Siegel-Veech constant.

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