On the Cohomology of the Stover Surface
On the Cohomology of the Stover Surface
复制标题
关于斯托弗曲面的上同调
作者：
Amir Dzambic;X. Roulleau
摘要 我们研究了 Stover 发现的一个曲面，它是光滑算术球商曲面中具有最小欧拉数和最大自同构群的曲面。我们研究自然地图并讨论与所谓的拉格朗日曲面相关的问题。我们发现该表面 S 具有最大皮卡德数并且没有更高的属纤维化。我们计算出它的阿尔巴尼亚变体 A 同构于 ，因为 α = e2iπ/3。
ABSTRACT We study a surface discovered by Stover which is the surface with minimal Euler number and maximal automorphism group among smooth arithmetic ball quotient surfaces. We study the natural map and discuss the problem related to the so-called Lagrangian surfaces. We obtain that this surface S has maximal Picard number and has no higher genus fibrations. We compute that its Albanese variety A is isomorphic to , for α = e2iπ/3.