New examples of Calabi-Yau threefolds and genus zero surfaces

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

Research output: Contribution to journalArticlepeer-review

7 Citations (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.
Original languageEnglish
Pages (from-to)1-20
Number of pages20
JournalCommunications in Contemporary Mathematics
Volume16
Publication statusPublished - 2014

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics

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