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Divisor — line bundle correspondence in algebraic geometry

After reading some introductory texts on Algebraic geometry, it seems that Divisors and Bundles are treated the same? How are they related?

I always thought that Divisors were Hypersurfaces of some manifold (something inside the manifold) and Bundles something that is "stuck" onto the manifold (something outside of it), where does my thinking go wrong?

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    Ohhh didn't see this question, thank you M Turgeon!2012-05-24

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