Line Bundle/invertible Sheaf Language
Linear systems are still at the heart of contemporary algebraic geometry; but they are typically introduced by means of the line bundle or invertible sheaf language. That is, the language of sheaf theory is considered the most natural starting point, at least to learn the theory. In those terms, divisors D (Cartier divisors, importantly) correspond to line bundles, and linear equivalence of two divisors means that the corresponding line bundles are isomorphic.
Read more about this topic: Linear System Of Divisors
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