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

Mark Gross; Simone Pavanelli

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

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arxiv math/0512182 v1 pith:S6WPHKXV submitted 2005-12-09 math.AG

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

Mark Gross , Simone Pavanelli This is my paper

classification math.AG

keywords brauergroupcalabi-yauthreefoldcalculatecertaincompletediscovered

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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.

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

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