A Calabi-Yau threefold with Brauer group $(\mathbb Z/8\mathbb Z)^2$
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- by Mark Gross and Simone Pavanelli PDF
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Abstract:
We compute the Brauer group of a Calabi-Yau threefold discovered by the first author and Sorin Popescu, and find it is $(\mathbb {Z}/8 \mathbb {Z})^2$, the largest known Brauer group of a non-singular Calabi-Yau threefold.References
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Additional Information
- Mark Gross
- Affiliation: Department of Mathematics, University of California-San Diego, 9500 Gilman Drive, La Jolla, California 92093-0112
- MR Author ID: 308804
- Email: mgross@math.ucsd.edu
- Simone Pavanelli
- Affiliation: Nextra Investment Management SGR, Piazza Cadorna 3, 20123 Milano, Italy
- Email: simone_pavanelli@hotmail.com
- Received by editor(s): December 14, 2005
- Received by editor(s) in revised form: July 10, 2006
- Published electronically: October 11, 2007
- Additional Notes: This work was partially supported by NSF grant 0204326 and 0505325.
- Communicated by: Michael Stillman
- © Copyright 2007 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 136 (2008), 1-9
- MSC (2000): Primary 14J32
- DOI: https://doi.org/10.1090/S0002-9939-07-08840-5
- MathSciNet review: 2350382