论文标题
一些低维球员的不释放
Uniruledness of some low-dimensional ball quotients
论文作者
论文摘要
我们在复杂的球上定义反射模块化形式，并使用Gritsenko和Hulek的方法表明尺寸3、4和5的某些球标是未释放的。我们在想象中的二次字段的整数上举例说明了Hermitian晶格$ \ MATHBB {Q}（\ sqrt {-1}）$和$ \ Mathbb {q}（\ sqrt {-2}）$，与哪些相关的球均不适合。我们的示例包括$ \ mathbb {p}^1 $上的8点的模量空间。此外，我们发现他们的某些萨克斯 - 贝尔 - 骨压实是合理链连接的模量。
We define reflective modular forms on complex balls and use a method of Gritsenko and Hulek to show that some ball quotients of dimensions 3, 4 and 5 are uniruled. We give examples of Hermitian lattices over the rings of integers of imaginary quadratic fields $\mathbb{Q}(\sqrt{-1})$ and $\mathbb{Q}(\sqrt{-2})$ for which the associated ball quotients are uniruled. Our examples include the moduli space of 8 points on $\mathbb{P}^1$. Moreover, we find that some of their Satake-Baily-Borel compactifications are rationally chain connected modulo certain cusps.
