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On Calabi-Yau threefolds with large nonabelian fundamental groups
Author(s):
Lev
Borisov;
Zheng
Hua
Journal:
Proc. Amer. Math. Soc.
136
(2008),
1549-1551.
MSC (2000):
Primary 14J32
Posted:
November 30, 2007
MathSciNet review:
2373582
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Abstract:
In this short note we construct Calabi-Yau threefolds with nonabelian fundamental groups of order  as quotients of the small resolutions of certain complete intersections of quadrics in  that were first considered by M. Gross and S. Popescu.
References:
-
- [B]
- A. Beauville, A Calabi-Yau threefold with non-Abelian fundamental group, New Trends in Algebraic Geometry (EuroConference Warwick, July 1996), 13-17. Cambridge University Press (1999). MR 1714819 (2000f:14060)
- [GPa]
- M. Gross, S. Pavanelli, A Calabi-Yau threefold with Brauer group
 , preprint math.AG/0512182. - [GPo]
- M. Gross, S. Popescu, Calabi-Yau threefolds and moduli of abelian surfaces. I, Compositio Math. 127 (2001), 169-228. MR 1845899 (2002f:14057)
- [H]
- Z. Hua, in preparation.
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Additional Information:
Lev
Borisov
Affiliation:
Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
Email:
borisov@math.wisc.edu
Zheng
Hua
Affiliation:
Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
Email:
hua@math.wisc.edu
DOI:
10.1090/S0002-9939-07-09268-4
PII:
S 0002-9939(07)09268-4
Received by editor(s):
October 16, 2006
Received by editor(s) in revised form:
February 17, 2007
Posted:
November 30, 2007
Additional Notes:
The first author was partially supported by the National Science Foundation under grant No. DMS-0456801.
Communicated by:
Ted Chinburg
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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