论文标题
Hecke的定理,以$ 3 $ -Manifolds为单位
Hecke's Theorem on the Different for $3$-Manifolds
论文作者
论文摘要
赫克(Hecke)表明,数字字段的扩展的不同是类组中的一个平方。我们证明了一个封闭$ 3 $ manifolds的分支封面的类似物,说分支机构是第一个同源组的广场。
Hecke has shown that the different of an extension of number fields is a square in the class group. We prove an analog for branched covers of closed $3$-manifolds saying that the branch divisor is a square in the first homology group.