对称行列式轨迹的几何
代数几何
2015-08-11 v1
摘要
我们研究(n+1)阶对称矩阵的行列式轨迹的代数几何性质及其偶秩的双重覆盖。一般地研究了它们的奇点、Fano指数和双有理几何。特别地，通过注意其与Grassmannian上二次曲线的Hilbert概型的关系，研究了秩为4的对称行列式轨迹的双重覆盖。
引用
@article{arxiv.1508.01995,
title = {Geometry of symmetric determinantal loci},
author = {Shinobu Hosono and Hiromichi Takagi},
journal= {arXiv preprint arXiv:1508.01995},
year = {2015}
}
备注
We have reorganized our paper arXiv:1302.5881. This paper contains generalizations of the first part of that paper