Weierstrass filtration on Teichmüller curves and Lyaponov exponents
Fei Yu, Kang Zuo
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.
