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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A Calabi-Yau threefold with Brauer group $(\mathbb Z/8\mathbb Z)^2$
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by Mark Gross and Simone Pavanelli PDF
Proc. Amer. Math. Soc. 136 (2008), 1-9 Request permission

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.
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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