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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
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Abstract: In this short note we construct Calabi-Yau threefolds with nonabelian fundamental groups of order $ 64$ as quotients of the small resolutions of certain complete intersections of quadrics in $ \mathbb{P}^7$ 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 $ (\ZZ/8\ZZ)^2$, 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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