On Calabi-Yau threefolds with large nonabelian fundamental groups
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- by Lev Borisov and Zheng Hua PDF
- Proc. Amer. Math. Soc. 136 (2008), 1549-1551 Request permission
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
- Arnaud Beauville, A Calabi-Yau threefold with non-abelian fundamental group, New trends in algebraic geometry (Warwick, 1996) London Math. Soc. Lecture Note Ser., vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 13–17. MR 1714819, DOI 10.1017/CBO9780511721540.003
- M. Gross, S. Pavanelli, A Calabi-Yau threefold with Brauer group $(\mathbb {Z}/8\mathbb {Z})^2$, preprint math.AG/0512182.
- Mark Gross and Sorin Popescu, Calabi-Yau threefolds and moduli of abelian surfaces. I, Compositio Math. 127 (2001), no. 2, 169–228. MR 1845899, DOI 10.1023/A:1012076503121
- Z. Hua, in preparation.
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
- Received by editor(s): October 16, 2006
- Received by editor(s) in revised form: February 17, 2007
- Published electronically: 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 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 1549-1551
- MSC (2000): Primary 14J32
- DOI: https://doi.org/10.1090/S0002-9939-07-09268-4
- MathSciNet review: 2373582