AN ALGEBRO-GEOMETRIC APPROACH TO LINEAR DIOPHANTINE EQUATIONS

• 발행기관: 충청수학회
• 저자명: Yonghwa Cho
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 39, No. 2, 117~124쪽, 전체 8쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2026.05.30

국문 초록

We provide an algebro-geometric proof of the fact that the nonnegative integral solutions to a linear Diophantine equation is a quasipolynomial of degree n and period Q, where n + 1 is the number of variables and Q is the least common multiple of the coefficients. As an example, we present an explicit calculation using Riemann-Roch formula.

목차

1. Introduction

2. Weighted projective spaces

3. A remark on well-formedness

4. Examples

References

키워드

weighted projective space linear Diophantine equation

참고문헌

• Abh. Math. Sem. Univ.
• Graduate Studies in Mathematics
• Lecture Notes in Math.
• London Math. Soc. Lecture Note Ser.
• Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics
• J. Combin. Theory Ser. A