中文

奇异K3曲面的模域

代数几何 2017-11-22 v2 数论

摘要

我们研究奇异阿贝尔曲面和K3曲面的模域。我们讨论了在CM域和\Q\Q上的模域。我们还讨论了关于模域次数的非有限性。最后,我们给出了一种计算模域的显式方法。

关键词

引用

@article{arxiv.1601.05579,
  title  = {The field of moduli of singular K3 surfaces},
  author = {Roberto Laface},
  journal= {arXiv preprint arXiv:1601.05579},
  year   = {2017}
}

备注

22 pages. It has been pointed out that Proposition 6.1 in the previous version contained a gap, which we fix in this new and updated version. Incidentally, we also use this idea to improve our results on the absolute field. Title has changed. Comments are still welcome!