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arxiv: 1203.6053 · v6 · pith:HXTNBLWVnew · submitted 2012-03-27 · 🧮 math.AG · math.DS

Weierstrass filtration on Teichmuller curves and Lyapunov exponents

classification 🧮 math.AG math.DS
keywords teichmullercurvesfiltrationexponentslyapunovstrataweierstrassbundle
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We define the Weierstrass filtration for Teichmuller curves and construct the Harder-Narasimhan filtration of the Hodge bundle of a Teichmuller curve in hyperelliptic loci and low-genus nonvarying strata. As a result we obtain the sum of Lyapunov exponents of Teichmuller curves in these strata.

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