论文标题
两个Hermitian模块化形式的分级环
Two graded rings of Hermitian modular forms
论文作者
论文摘要
我们为$ \ Mathbb {q}（\ sqrt {-7}）$和$ \ mathbb {q}（\ sqrt {-11}）$ sighter and Indeger的发电机和关系。在这两种情况下，我们都证明了对称模块形式的子环由Maass升力产生。该计算对Borcherds产品使用还原过程，这也导致了模块化形式空间的尺寸公式。
We give generators and relations for the graded rings of Hermitian modular forms of degree two over the rings of integers in $\mathbb{Q}(\sqrt{-7})$ and $\mathbb{Q}(\sqrt{-11})$. In both cases we prove that the subrings of symmetric modular forms are generated by Maass lifts. The computation uses a reduction process against Borcherds products which also leads to a dimension formula for the spaces of modular forms.
