CYFibredMirrorQuartics.pdf (607.87 kB)
Calabi–Yau threefolds fibred by mirror quartic K3 surfaces
journal contribution
posted on 2018-10-08, 10:01 authored by Charles F. Doran, Andrew Harder, A.Y. Novoseltsev, Alan ThompsonAlan ThompsonWe 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.
History
School
- Science
Department
- Mathematical Sciences
Published in
Advances in MathematicsVolume
298Pages
369 - 392Citation
DORAN, C.F. ... et al., 2016. Calabi–Yau threefolds fibred by mirror quartic K3 surfaces. Advances in Mathematics, 298, pp. 369-392.Publisher
© ElsevierVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Acceptance date
2016-03-21Publication date
2016-05-06Notes
This paper was accepted for publication in the journal Advances in Mathematics and the definitive published version is available at https://doi.org/10.1016/j.aim.2016.03.045ISSN
0001-8708Publisher version
Language
- en