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This is a very vague question, in fact not really a question at all more of a search.

I am studying some vector bundle theory on Riemann surfaces and would just like some non-trivial example of globally generated complex vector bundles of rank greater than one.

Does anybody have some examples which arise naturally in complex(& algebraic) geometry or topology?

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If $C \subset \mathbb{P}^n$ is a projective embedding of a Riemann surface, the normal bundle $$ N_{C/\mathbb{P}^n} $$ is globally generated of rank $n-1$.

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  • $\begingroup$ Thank you for the response! This is the only interesting example I was aware of, I should have mentioned this in the post. $\endgroup$ – ben Dec 7 '18 at 12:24

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