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https://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: | https://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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BiniFavaleNevesPignatelli_NewExamplesOfCalabiYau.pdf | 355.25 kB | Adobe PDF | View/Open |
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