Calabi-Yau threefolds fibred by mirror quartic K3 surfaces

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

Research output: Contribution to journalArticle

3 Citations (Scopus)

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
Externally publishedYes

Fingerprint

Calabi-Yau Threefolds
K3 Surfaces
Quartic
Mirror
Deformation Theory
Number theory
Threefolds
Moduli Space
Family

Keywords

  • Calabi-Yau threefold
  • Fibration
  • K3 surface

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Calabi-Yau threefolds fibred by mirror quartic K3 surfaces. / Doran, C. F.; Harder, Andrew; Novoseltsev, A. Y.; Thompson, A.

In: Advances in Mathematics, Vol. 298, 06.08.2016, p. 369-392.

Research output: Contribution to journalArticle

Doran, C. F. ; Harder, Andrew ; Novoseltsev, A. Y. ; Thompson, A. / Calabi-Yau threefolds fibred by mirror quartic K3 surfaces. In: Advances in Mathematics. 2016 ; Vol. 298. pp. 369-392.
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