Orbitwise Countings in H(2) and Quasimodular Forms
Orbitwise Countings in H(2) and Quasimodular Forms
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H(2) 和拟模形式的轨道计数
DOI：
10.1155/imrn/2006/42151
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发表时间：
2005
影响因子：
1
通讯作者：
E. Royer
中科院分区：
文献类型：
--
作者：
Samuel Lelièvre;E. Royer
证明了具有一个奇点的2属平铺曲面的轨道计数公式。这些公式是休伯特和勒利弗尔推测出来的。我们证明这些计数允许准模形式作为生成函数。
We prove formulae for the countings by orbit of square-tiled surfaces of genus two with one singularity. These formulae were conjectured by Hubert and Lelievre. We show that these countings admit quasimodular forms as generating functions.