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Jul 15, 2015 at 17:28 comment added Tom Goodwillie Chern classes of a smooth complex vector bundle on a smooth manifold can be described in terms of cycles where generic sections vanish or are linearly dependent. In particular in the special case of a holomorphic bundle (on a complex manifold) this is true, if there are enough sections.
Jul 15, 2015 at 17:03 history edited Temitope.A CC BY-SA 3.0
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Jul 15, 2015 at 16:47 comment added Michael Albanese I believe you mean smooth sections rather than dual sections.
Jul 15, 2015 at 15:10 history asked Temitope.A CC BY-SA 3.0