K3 surfaces with non-symplectic automorphisms of order three and Calabi-Yau orbifolds

摘要

Let S be a K3 surface that admits a non-symplectic automorphism rho of order 3. We divide S x P-1 by rho x psi, where psi is an automorphism of order 3 of P-1. There exists a ramified cover of a partial crepant resolution of the quotient that is a Calabi-Yau orbifold. We compute the Euler characteristic of our examples and obtain values ranging from 30 to 219. (C) 2015 Elsevier B.V. All rights reserved.