Explicit class field theory for rational function fields
Explicit class field theory for rational function fields
复制标题
DOI：
10.1090/s0002-9947-1974-0330106-6
复制
发表时间：
1974-03
影响因子：
1.3
通讯作者：
D. Hayes
中科院分区：
文献类型：
--
作者：
D. Hayes
.发展的Carlitz的想法，我展示了如何可以明确地描述最大的阿贝尔扩展的有理函数域F，（有限域的q个元素）和行动的idèle类组通过互易律同态。该理论与有理数的割圆扩张的经典理论非常相似。
. Developing an idea of Carlitz, I show how one can describe explicitly the maximal abelian extension of the rational function field over F, (the finite field of q elements) and the action of the idèle class group via the reciprocity law homomorphism. The theory is closely analogous to the classical theory of cyclotomic extensions of the rational numbers.