双联簇代数簇 II：极簇

Gavin Brown; Miles Reid

双联簇代数簇 II：极簇

代数几何 2015-07-22 v3

作者: Gavin Brown , Miles Reid

摘要

第一部分介绍了双联簇代数簇 $V_{ABLM}$ ，并在 $d,e\ge 2$ 且 $de>4$ 的情形下给出了其严格构造。本文证明了在所有 $de\le4$ 的情形下 $V_{ABLM}$ 的存在性。同时，基于极代数，我们为 $\GL(2)\times\G_m^r$ 等群构造了一些有趣的拟齐次空间类。

关键词

双联簇代数簇极簇拟齐次空间代数构造群作用

引用

@article{arxiv.1208.5858,
  title  = {Diptych varieties. II: Polar varieties},
  author = {Gavin Brown and Miles Reid},
  journal= {arXiv preprint arXiv:1208.5858},
  year   = {2015}
}

备注

24 pages. A tribute to Yujiro Kawamata, to appear in his sixtieth birthday conference proceedings, ASPM 2015. The webpage at http://homepages.warwick.ac.uk/staff/G.Brown/diptych.html contains links to auxiliary material. (First update adds more detail to calculations of polars and includes a new key variety to handle small cases all together. Only minor editing revisions in later update.)

双联簇代数簇 II：极簇

摘要

关键词

引用

备注

相关论文