Divisors and invertible sheaves on algebraic varieties
- 주제어 (키워드) Algebraic variety , Scheme , Weil divisor , Cartier divisor , Invertible sheaf , Integral scheme
- 발행기관 서강대학교 일반대학원
- 지도교수 박진형
- 발행년도 2022
- 학위수여년월 2022. 2
- 학위명 석사
- 학과 및 전공 일반대학원 수학과
- 실제 URI http://www.dcollection.net/handler/sogang/000000066414
- UCI I804:11029-000000066414
- 본문언어 영어
- 저작권 서강대학교 논문은 저작권 보호를 받습니다.
초록 (요약문)
In this thesis, we review the well-known relations between divisors and invertible sheaves on algebraic varieties. First, we introduce two notions of divisors, Weil divisors and Cartier divisors, on algebraic varieties, and we define invertible sheaves on algebraic varieties, which can be regarded as line bundles. These notions can be the same provided that some conditions are satisfied. For instance, if $X$ is an integral scheme, then Cartier divisors and invertible sheaves on $X$ are the same. Next, we present relevant examples such as Cartier divisors on a cubic curve.
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