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The generalized Serre question asks whether any algebraic vector bundle over a topologically contractible, smooth, affine, complex variety is trivial. In this article, we prove an affirmative answer to this question, if the dimension of is 3 and is rationally connected. As an example, this proves that every algebraic vector bundle over any Koras-Russell threefold (first or second kind and certain third kind) is trivial.

生成讲解博客的中文版本

生成AI智能校验的中文版本