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EnglishWe 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, K2 = 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.
| Data di pubblicazione: | 2014 |
| Titolo: | New examples of Calabi-Yau threefolds and genus zero surfaces |
| Autori: | |
| Citazione: | G. Bini, F. Favale, J. Neves, & R. Pignatelli (2014). New examples of Calabi-Yau threefolds and genus zero surfaces. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 16(2), 1-20. |
| Rivista: | |
| Digital Object Identifier (DOI): | 10.1142/S0219199713500107 |
| 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, K2 = 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. |
| Settore Scientifico Disciplinare: | Settore MAT/03 - Geometria |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
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http://hdl.handle.net/10447/398167
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