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Did exists a method to find a resolution of singularities of an affine algebraic variety over $\mathbb{C}$ such that its resolution is affine too?

Joaquín Moraga
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    By definition, a resolution is proper and birational to the original variety. So if an affine resolution exists, then the resolution map is finite and birational, thus is equal to the normalization. In summary, an affine resolution exists if and only if the normalization already gives a smooth variety. – Cantlog Apr 04 '14 at 16:08

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