There is this relatively well known conjecture that any rational variety is uniformly rational. The latter means each point has a neighborhood that is isomorphic to an open in the affine space. Inspired by this I was wondering whether there are any interesting examples where a projective variety has the affine space as an open? What if we assume the complement of a hyperplane section is the affine space?
2026-03-26 09:19:47.1774516787
Projective varieties with an affine space as an open in them .
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