Symmetry preserving degenerations of the generic symmetric matrix

Rainelly Cunha; Zaqueu Ramos; Aron Simis

Symmetry preserving degenerations of the generic symmetric matrix

Commutative Algebra 2018-04-04 v2 Algebraic Geometry

Authors: Rainelly Cunha , Zaqueu Ramos , Aron Simis

Abstract

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 $V(f)$ .

Keywords

generic symmetric matrix degenerations determinant polar map hessian matrix cofactors dual variety

Cite

@article{arxiv.1802.08067,
  title  = {Symmetry preserving degenerations of the generic symmetric matrix},
  author = {Rainelly Cunha and Zaqueu Ramos and Aron Simis},
  journal= {arXiv preprint arXiv:1802.08067},
  year   = {2018}
}

Comments

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

Symmetry preserving degenerations of the generic symmetric matrix

Abstract

Keywords

Cite

Comments

Related papers