A Riemann-Hurwitz Formula for thep-Rank of Ideal Class Groups of CM-Fields

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• 作者：Wingberg ; Kay
• 刊名：Journal of Number Theory
• 出版年：1996
• 出版时间：February, 1996
• 年：1996
• 卷：56
• 期：2
• 页码：319-328
• 全文大小：486 K

文摘

In this note we prove an analogue of the classical Riemann-Hurwitz formula for the minus part of thep-rank ofS-ideal class groups of algebraic CM-fields. The result is an improvement of Kida's formula for the cyclotomic Z_p-extension.