arXiv 1802.080672018-02math.ACmath.AG

一般对称矩阵的保对称退化

Symmetry preserving degenerations of the generic symmetric matrix

Rainelly Cunha, Zaqueu Ramos, Aron Simis

备注：: 34 pages.This is a revised version. The introduction has been modified and we include new bibliographic references. arXiv admin note: text overlap with arXiv:1610.07681

阅读 PDF

arXiv 页面 ↗HTML 原文 ↗

摘要：

考虑了特征为零的域$k$上一般对称矩阵的某些退化以及与矩阵的行列式$f$有关的主要结构，如由其偏导数生成的理想，由这些导数定义的极映射及其像$V(f)$，黑塞矩阵，由余因子给出的理想和映射，以及$V(f)$的对偶簇.

英文摘要：

One considers certain degenerations of the generic symmetric matrix over a field $k$ of characteristic zero and the main structures related to the determinant $f$ of the matrix, such as the ideal generated by its partial derivatives, the polar map defined by these derivatives and its image $V(f)$, the Hessian matrix, the ideal and the map given by the cofactors, and the dual variety of $V(f)$.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。