论文标题
方形表面和数字字段的曲线
Square-tiled surfaces and curves over number fields
论文作者
论文摘要
本文提出了作者和V. voevodsky的旧结果的类似物，根据且只有在相应的代数曲线才能在代数数字的场上定义的，Riemann表面允许由等边三角剖分定义的保形结构；对于方形表面，获得了类似的结果。
The paper presents an analog of the old result by the author and V. Voevodsky, according to which a Riemann surface admits a conformal structure, defined by an equilateral triangulation, if and only if the corresponding algebraic curve can be defined over the field of the algebraic numbers; the similar result is obtained for the square-tiled surfaces.
