一个8维的单纯连通Godeaux曲面族
代数几何
2022-01-27 v2
摘要
本文描述了一种基于同调代数的数值Godeaux曲面构造方法。我们证明存在一个8维局部完备的单纯连通数值Godeaux曲面族。
关键词
引用
@article{arxiv.2009.05357,
title = {An 8-dimensional family of simply connected Godeaux surfaces},
author = {Frank-Olaf Schreyer and Isabel Stenger},
journal= {arXiv preprint arXiv:2009.05357},
year = {2022}
}
备注
28 pages. We have divided the previous version "Godeaux surfaces I" into two parts. This version describes the general construction method. The second part studies marked Godeaux surfaces with special bicanonical fibers