A Calabi-Yau threefold with Brauer group (Z/8Z)^2

Details A Calabi-Yau threefold with Brauer group (Z/8Z)^2 A Calabi-Yau threefold with Brauer group (Z/8Z)^2

2005-12-09

arxiv.org/abs/math/0512182v1

Mathematics

Algebraic Geometry

11 pages

Scientific paper

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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