Calabi-Yau Threefolds Fibred by Mirror Quartic K3 Surfaces
Algebraic Geometry
2016-05-31 v2
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.
Keywords
Cite
@article{arxiv.1501.04019,
title = {Calabi-Yau Threefolds Fibred by Mirror Quartic K3 Surfaces},
author = {Charles F. Doran and Andrew Harder and Andrey Y. Novoseltsev and Alan Thompson},
journal= {arXiv preprint arXiv:1501.04019},
year = {2016}
}
Comments
v2: Significant changes at the request of the referee. Section 3 has been rearranged to accommodate a revised proof of Proposition 3.5 (formerly 3.2). Section 5 has been removed completely, it will instead appear as part of Section 5 in arxiv:1601.08110