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Feb 1, 2018 at 18:31 comment added YangMills the more subtle definition in the complex analytic setting was obtained here jstor.org/stable/2374215
Feb 1, 2018 at 10:13 comment added abx No, for projective (or even quasi-projective) varieties there is no problem. As I said, the problem is in the complex analytic setting.
Feb 1, 2018 at 9:52 comment added Vamsi Even for smooth projective varieties ?
Feb 1, 2018 at 9:48 comment added abx In general, there is no global locally free resolution in the complex analytic setting. The definition of the classes $c_k(S)$ are more subtle.
Feb 1, 2018 at 6:54 history asked Vamsi CC BY-SA 3.0