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.
Groups acting freely on Calabi-Yau threefolds embedded in products of del Pezzo surfaces / G. Bini, F. Favale. - In: ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS. - ISSN 1095-0761. - 16:3(2012 Jun), pp. 887-933. [10.4310/ATMP.2012.v16.n3.a4]
Groups acting freely on Calabi-Yau threefolds embedded in products of del Pezzo surfaces
G. Bini;
2012
Abstract
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.
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