论文标题
Kontsevich的算术性 - 某些方形表面家族的Zorich单片
Arithmeticity of the Kontsevich--Zorich monodromies of certain families of square-tiled surfaces
论文作者
论文摘要
与方形表面相关的重量结构的变化自然会生成有趣的符号矩阵的有趣亚组，称为kontsevich - zorich monodromies。在本文中，我们表明，在低属$ g $的kontsevich-zorich单片中，算术组很常见。
The variations of Hodge structures of weight one associated to square-tiled surfaces naturally generate interesting subgroups of integral symplectic matrices called Kontsevich--Zorich monodromies. In this paper, we show that arithmetic groups are frequent among the Kontsevich--Zorich monodromies of square-tiled surfaces of low genera $g$.
