On (2, 4) complete intersection threefolds that contain an Enriques surface

Lev A. Borisov, Howard J. Nuer

Research output: Contribution to journalArticlepeer-review

Abstract

We study nodal complete intersection threefolds of type (2, 4) in P5 which contain an Enriques surface in its Fano embedding. We completely determine Calabi–Yau birational models of a generic such threefold. These models have Hodge numbers h11= 2 , h12= 32. We also describe Calabi–Yau varieties with Hodge numbers (h11, h12) equal to (2, 26), (23, 5) and (31, 1). The last two pairs of Hodge numbers are, to the best of our knowledge, new.

Original languageEnglish (US)
Pages (from-to)853-876
Number of pages24
JournalMathematische Zeitschrift
Volume284
Issue number3-4
DOIs
StatePublished - Dec 1 2016

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Keywords

  • Calabi–Yau threefolds
  • Enriques surfaces
  • Minimal model program

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