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arXiv math/0509205math.GTmath.NT
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Orbitwise countings in H(2) and quasimodular forms

Samuel Lelièvre, Emmanuel Royer

英文摘要:

We prove formulae for the countings by orbit of square-tiled surfaces of genus two with one singularity. These formulae were conjectured by Hubert & Lelièvre. We show that these countings admit quasimodular forms as generating functions.

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