Calabi–Yau threefolds with non‐Gorenstein involutions

Abstract

AbstractThe concept of non‐Gorenstein involutions on Calabi–Yau threefolds is a higher dimensional generalization of non‐symplectic involutions on K3 surfaces. We present some elementary facts about Calabi–Yau threefolds with non‐Gorenstein involutions. We give a classification of the Calabi–Yau threefolds of Picard rank one with non‐Gorenstein involutions, whose fixed locus is not zero‐dimensional.