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arXiv:1203.6053 [math.AG]AbstractReferencesReviewsResources

Weierstrass filtration on Teichmuller curves and Lyapunov exponents

Fei Yu, Kang Zuo

Published 2012-03-27, updated 2014-12-03Version 6

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.

Comments: 28 pages. Published version in Journal of Modern Dynamics. arXiv admin note: text overlap with arXiv:1104.3932 by other authors
Journal: Journal of Modern Dynamics, (2013) Vol.7, No.2, 209-237
Categories: math.AG, math.DS
Subjects: 14H10, 32G15, 37F30
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