Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/44294
Title: New examples of Calabi-Yau threefolds and genus zero surfaces
Authors: Bini, Gilberto 
Favale, Filippo F. 
Neves, Jorge 
Pignatelli, Roberto 
Issue Date: 2014
Serial title, monograph or event: Communications in Contemporary Mathematics Vol. 15, No. 3 (2013)
Volume: 16
Issue: 02
Abstract: 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.
URI: http://hdl.handle.net/10316/44294
DOI: 10.1142/S0219199713500107
Rights: embargoedAccess
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais

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