%0 Journal Article
%T New examples of Calabi-Yau threefolds and genus zero surfaces
%A Gilberto Bini
%A Filippo F. Favale
%A Jorge Neves
%A Roberto Pignatelli
%J Mathematics
%D 2012
%I arXiv
%R 10.1142/S0219199713500107
%X We classify the subgroups of the automorphism group of the product of 4 projective lines admitting an invariant anticanonical smooth divisor on which the action is free. As a first application, we describe new examples of Calabi-Yau 3-folds with small Hodge numbers. In particular, the Picard number is 1 and the number of moduli is 5. Furthermore, the fundamental group is non-trivial. We also construct a new family of minimal surfaces of general type with geometric genus zero, K^2=3 and fundamental group of order 16. We show that this family dominates an irreducible component of dimension 4 of the moduli space of the surfaces of general type.
%U http://arxiv.org/abs/1211.2390v2