MODULAR POLYNOMIALS FOR MODULAR CURVES X+

• 발행기관: 충청수학회
• 저자명: SoYoung Choi
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 24, No. 3, 529~531쪽, 전체 3쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2011.08.30

영문 초록

We show that for all N ¸ 1, the modular function¯eld K(X+0 (N)) is generated by j(z)j(Nz) and j(z) + j(Nz) over C, where j(z) is the modular invariant. Moreover we derive the de¯ning equation of the the modular function ¯eld K(X+ 0 (N)) from the classical modular polynomial ©N(X; Y ).

목차

1. Introduction

2. An a±ne singular model of the modular curve X+0 (N)