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Vector bundles of rank 1 From Wikipedia, the free encyclopedia Every line bundle arises from a divisor with the following conditions (I) If X is reduced and irreducible scheme, then every line bundle ...

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Vector bundles and their associated moduli spaces are of fundamental importance in algebraic geometry. In recent decades this subject has been greatly enhanced by its relationships with other areas of ...

Let E be a vector bundle over a smooth projective curve defined over k. We prove that E admits a connection if the degree of every indecomposable component of E is zero. This has been proved (when k = ...