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Divisors and invertible sheaves on algebraic varieties

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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