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

2005/12/09 by Mark Gross, Gross, Mark, Simone Pavanelli +1 · 2 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory #math.AG #msc:14J32

paper · pdf · doi:10.48550/arxiv.math/0512182

11 pages

arxiv created 2005/12/09 · arxiv updated 2009/12/01

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.

Cited by

• Worldsheet instantons, torsion curves and non-perturbative superpotentials
• Hyperconifold transitions, mirror symmetry, and string theory

Related

• On Calabi-Yau threefolds with large nonabelian fundamental groups
• A Calabi-Yau threefold with non-Abelian fundamental group
• Calabi-Yau threefolds of type K (I): Classification
• Calabi--Yau threefolds with infinitely many divisorial contractions
• Calabi-Yau threefolds of quotient type