Weierstrass filtration on Teichmüller curves and Lyaponov exponents

Details Weierstrass filtration on Teichmüller curves and Lyaponov exponents Weierstrass filtration on Teichmüller curves and Lyaponov exponents

2012-03-27

arxiv.org/abs/1203.6053v3

Mathematics

Algebraic Geometry

17 pages. arXiv admin note: text overlap with arXiv:1104.3932

Scientific paper

We introduce Weierstrass filtration to Teichm\"{u}ller curves. Basing on nonvarying Weierstrass semigroup, we introduce Weierstrass exponents for Teichm\"{u}ller curve according to Harder-Narasimhan filtration. Computing Weierstrass exponents in hyperelliptic locus and non-varying stratum of genus less than or equal five, regain the sum of Lyaponov exponents without the knowledge of the Siegel-Veech constant.

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