Calabi-Yau threefolds fibred by mirror quartic K3 surfaces

C. F. Doran, A. Harder, A. Y. Novoseltsev, A. Thompson

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We study threefolds fibred by mirror quartic K3 surfaces. We begin by showing that any family of such K3 surfaces is completely determined by a map from the base of the family to the moduli space of mirror quartic K3 surfaces. This is then used to give a complete explicit description of all Calabi-Yau threefolds fibred by mirror quartic K3 surfaces. We conclude by studying the properties of such Calabi-Yau threefolds, including their Hodge numbers and deformation theory.

Original languageEnglish (US)
Pages (from-to)369-392
Number of pages24
JournalAdvances in Mathematics
Volume298
DOIs
StatePublished - Aug 6 2016

Keywords

  • Calabi-Yau threefold
  • Fibration
  • K3 surface

ASJC Scopus subject areas

  • Mathematics(all)

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