论文标题
几乎均匀的SL2- threefolds的Cox环
Cox rings of almost homogeneous SL2-threefolds
论文作者
论文摘要
我们研究了正常三倍的Cox环，SL2在其上用密集的轨道起作用。利用U不变的方法，我们获得了总坐标空间和基本品种的组合标准，以具有对数末端奇点。然后，我们研究Cox环的迭代，并在其长度上获得绑定。最后，我们开发了一种通用方法来通过发电机和关系对Cox环的描述，这对于正常的SL2 /$ $ $ n-插件有效。
We study Cox rings of normal threefolds on which SL2 acts with a dense orbit. Exploiting the method of U-invariants, we obtain combinatorial criteria for the total coordinate space and the base variety to have log terminal singularities. Then, we investigate the iteration of Cox rings and obtain a bound on its length. Finally, we develop a general approach to the description of the Cox ring by generators and relations which is effective for normal SL2 /$μ$n-embeddings.
