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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)



Exotic embeddings of open subsets of affine space

Author: Zbigniew Jelonek
Journal: Proc. Amer. Math. Soc. 140 (2012), 1561-1568
MSC (2010): Primary 14R10
Published electronically: September 12, 2011
MathSciNet review: 2869140
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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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Additional Information

Zbigniew Jelonek
Affiliation: Instytut Matematyczny, Polska Akademia Nauk, Śniadeckich, 00-956 Warszawa, Poland

Keywords: Polynomial embedding, exotic embedding, Zariski open subset of affine space
Received by editor(s): January 16, 2011
Received by editor(s) in revised form: January 26, 2011
Published electronically: September 12, 2011
Additional Notes: The author was partially supported by the Polish Ministry of Science, grant 2010-2013
Communicated by: Lev Borisov
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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