New examples of Calabi-Yau threefolds and genus zero surfaces

Gilberto Bini, Roberto Pignatelli, Jorge Neves, Filippo F. Favale, Gilberto Bini

Risultato della ricerca: Article

6 Citazioni (Scopus)

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.
Lingua originaleEnglish
pagine (da-a)1-20
Numero di pagine20
RivistaCommunications in Contemporary Mathematics
Volume16
Stato di pubblicazionePublished - 2014

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cita questo

Bini, G., Pignatelli, R., Neves, J., Favale, F. F., & Bini, G. (2014). New examples of Calabi-Yau threefolds and genus zero surfaces. Communications in Contemporary Mathematics, 16, 1-20.