Affine varieties with exotic models

Jelonek, Zbigniew

doi:10.1090/S0002-9939-2014-12160-5

Affine varieties with exotic models
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Proc. Amer. Math. Soc. 143 (2015), 1-4 Request permission

Abstract:

We show that for every $n\ge 7$ there is a smooth rational affine variety with exotic model. Moreover, we show that for every $n\ge 6$ there are Zariski open subsets $U_1, U_2$ of $\mathbb {C}^n$, such that they are holomorphically but not algebraically equivalent.

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