恢复 Hilbert 概形的好分支
代数几何
2008-07-15 v2
摘要
在概形 X 上点的 Hilbert 概形中，存在一个参数化不同点的开子集。该开集的闭包按定义即为好分支。当 X 在基上平坦时，我们证明 X 的对称积的某个拉开就是好分支。我们通过给出定义其理想的计算元来描述该拉开的中心。在非平坦情形，我们用分次幂积替代对称积得到了类似结果。对于光滑曲面 X，好分支等于点的 Hilbert 概形。
引用
@article{arxiv.math/0405073,
title = {Recovering the good component of the Hilbert scheme},
author = {Torsten Ekedahl and Roy Skjelnes},
journal= {arXiv preprint arXiv:math/0405073},
year = {2008}
}
备注
Several sections are rewritten, and results are now in a more general context. In particular flatness, finite type and noetherian assumptions are removed from the main result. Inaccuracies and mistakes have been corrected