Universal abelian covers of quotient-cusps
Universal abelian covers of quotient-cusps
复制标题
商尖点的通用阿贝尔覆盖
DOI：
10.1007/s00208-002-0405-6
复制
发表时间：
2001
影响因子：
1.4
通讯作者：
J. Wahl
中科院分区：
文献类型：
--
作者：
W. Neumann;J. Wahl
商-尖点奇点是被尖点奇点双重覆盖的孤立的复杂曲面奇点。我们证明了这种奇点的泛阿贝尔覆盖只在奇点处分支，是嵌入维4的完全交尖点奇点。这支持了我们关于ℚ-Gorenstein奇点的泛阿贝尔覆盖的一个一般猜想。
The quotient-cusp singularities are isolated complex surface singularities that are double-covered by cusp singularities. We show that the universal abelian cover of such a singularity, branched only at the singular point, is a complete intersection cusp singularity of embedding dimension 4. This supports a general conjecture that we make about the universal abelian cover of a ℚ-Gorenstein singularity.