论文标题
prym特征形式的周期性点
Periodic Points of Prym Eigenforms
论文作者
论文摘要
如果表面的仿射自动形态组下有有限的轨道，则veech表面的点是周期性的。我们表明，在第2、3和4属的翻译表面最小地层中，Prym特征形式的周期点是Prym相关的固定点。这回答了一个apisa的问题 - 并给出了莫勒对2属最小层中Veech表面的周期性分类的几何证明。
A point of a Veech surface is periodic if it has a finite orbit under the surface's affine automorphism group. We show that the periodic points of Prym eigenforms in the minimal strata of translation surfaces in genera 2, 3 and 4 are the fixed points of the Prym involution. This answers a question of Apisa--Wright and gives a geometric proof of Möller's classification of periodic points of Veech surfaces in the minimal stratum in genus 2.
