Exotic embeddings of open subsets of affine space

Jelonek, Zbigniew

doi:10.1090/S0002-9939-2011-11037-2

Exotic embeddings of open subsets of affine space
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Proc. Amer. Math. Soc. 140 (2012), 1561-1568 Request permission

Abstract:

We show that every Zariski open affine proper subset $X\subset \mathbb A^n$ has infinitely many non-equivalent embeddings into $\mathbb A^{n+1}$. Moreover, we give some examples of non-equivalent embeddings of such $X$ in higher codimension.

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