A Calabi-Yau threefold with Brauer group (Z/8Z)^2
Algebraic Geometry
2007-05-23 v1
Abstract
We calculate the Brauer group of a certain Calabi-Yau threefold discovered by Mark Gross and Sorin Popescu, which is a small resolution of a complete intersection of type (2,2,2,2) with 64 ordinary double points. We find the Brauer group is (Z/8Z)^2, which is the largest known example of a Brauer group of a Calabi-Yau threefold.
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Cite
@article{arxiv.math/0512182,
title = {A Calabi-Yau threefold with Brauer group (Z/8Z)^2},
author = {Mark Gross and Simone Pavanelli},
journal= {arXiv preprint arXiv:math/0512182},
year = {2007}
}
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11 pages