HILBERT 2-CLASS FIELD TOWERS OF IMAGINARY QUADRATIC FUNCTION FIELDS

• 발행기관: 충청수학회
• 저자명: Jae hyun Ahn Hwan yup Jung
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 23, No. 4, 699~704쪽, 전체 6쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2010.12.30

영문 초록

In this paper, we prove that the Hilbert 2-class ¯eld tower of an imaginary quadratic function ¯eld F = k(p D) is in¯nite if r2(C(F)) = 4 and exactly one monic irreducible divisor of D is of odd degree, except for one type of R¶edei matrix of F. We also compute the density of such imaginary quadratic function ¯elds F.

목차

1. Introduction and statement of results

2. Preliminaries

3. Proof of Theorems

References