Advances in Theoretical and Mathematical Physics
Volume 16 (2012)
Groups acting freely on Calabi–Yau threefolds embedded in a product of del Pezzo surfaces
Pages: 887 – 933
In this paper, we investigate quotients of Calabi–Yau manifolds $Y$ embedded in Fano varieties $X$, which are products of two del Pezzo surfaces — with respect to groups $G$ that act freely on $Y$. In particular, we revisit some known examples and we obtain some new Calabi–Yau varieties with small Hodge numbers. The groups $G$ are subgroups of the automorphism groups of $X$, which is described in terms of the automorphism group of the two del Pezzo surfaces.