论文标题
关于渐近良好扩展的注释,其中无限许多素数完全分裂
A note on asymptotically good extensions in which infinitely many primes split completely
论文作者
论文摘要
令P为素数,然后k为一个数字字段。对于p = 2,假设k完全虚构。在本说明中,我们证明存在渐近良好的扩展l {k的共同学维度2,其中无限的许多素数完全分裂。我们的结果灵感来自Hajir,Maire和Ramakrishna [7]。
Let p be a prime number, and let K be a number field. For p=2, assume moreover K totally imaginary. In this note we prove the existence of asymptotically good extensions L{K of cohomological dimension 2 in which infinitely many primes split completely. Our result is inspired by a recent work of Hajir, Maire, and Ramakrishna [7].