由镜像四次K3曲面纤维化的卡拉比-丘三维流形
代数几何
2016-05-31 v2
摘要
我们研究由镜像四次K3曲面纤维化的三维流形。我们首先证明，此类K3曲面的任意族完全由从族的底空间到镜像四次K3曲面模空间的映射所决定。这随后被用于给出所有由镜像四次K3曲面纤维化的卡拉比-丘三维流形的完整显式描述。最后我们通过研究此类卡拉比-丘三维流形的性质作结，包括它们的 Hodge 数和形变理论。
引用
@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}
}
备注
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