Calabi--Yau complete intersections in exceptional Grassmannians

2016/06/13 by Ito, Atsushi, Miura, Makoto, Okawa, Shinnosuke +1
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1606.04076

Abstract

We classify completely reducible equivariant vector bundles on Grassmannians of exceptional Lie groups which give Calabi--Yau 3-folds as complete intersections. In particular, we find a new family of Calabi--Yau 3-folds in an E₆-Grassmannian.

Related

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• Calabi-Yau complete intersections with infinitely many lines
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• Globally generated vector bundles on complete intersection Calabi-Yau threefolds
• Full exceptional collections on the Lagrangian Grassmannians LG(4,8) and LG(5,10)