Grothendieck Hilbert 函子的非有效形变
代数几何
2007-05-23 v2
摘要
设 X 为一个不满足分离性赋值判别法的概型。我们证明，参数化 X 的平坦、有限且秩为一的闭族的 Hilbert 函子不被概型或代数空间所表示。
关键词
引用
@article{arxiv.math/0603473,
title = {Non-effective Deformations of Grothendieck's Hilbert Functor},
author = {Christian Lundkvist and Roy Skjelnes},
journal= {arXiv preprint arXiv:math/0603473},
year = {2007}
}
备注
8 pages Changed abstract. Fixed typos/grammatical errors. Shortened the introduction. Expanded and clarified Remark 1.9. Shortened the exposition in Section 2 considerably, especially the proof of the first proposition (now Prop 2.3) in this section. Also removed the first lemma (Lemma 2.3) in the section. Added/removed references