Affine varieties with exotic models
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- by Zbigniew Jelonek
- Proc. Amer. Math. Soc. 143 (2015), 1-4
- DOI: https://doi.org/10.1090/S0002-9939-2014-12160-5
- Published electronically: August 22, 2014
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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.References
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Bibliographic Information
- Zbigniew Jelonek
- Affiliation: Instytut Matematyczny, Polska Akademia Nauk, Śniadeckich 8, 00-956 Warszawa, Poland
- Email: najelone@cyf-kr.edu.pl
- Received by editor(s): November 22, 2012
- Received by editor(s) in revised form: February 6, 2013
- Published electronically: August 22, 2014
- Additional Notes: The author was partially supported by the grant of Polish Ministry of Science No. 2010-2013
- Communicated by: Lev Borisov
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 143 (2015), 1-4
- MSC (2010): Primary 14R10, 32Q99
- DOI: https://doi.org/10.1090/S0002-9939-2014-12160-5
- MathSciNet review: 3272725