The G-biliaison class of symmetric determinantal schemes

JOURNAL OF ALGEBRA

卷:310

Article

Gorla, Elisa

关键词: G-biliaison;    G-liaison;    glicci scheme;    arithmetically Cohen-Macaulay scheme;    arithmetically;    Gorenstein scheme;    minor;    symmetric matrix;   

DOI  :  10.1016/j.jalgebra.2005.07.029

来源: Elsevier

【 摘 要 】

We consider a family of schemes, that are defined by minors of a homogeneous symmetric matrix with polynomial entries. We assume that they have maximal possible codimension, given the size of the matrix and of the minors that define them. We show that these schemes are G-bilinked to a linear variety of the same dimension. In particular, they can be obtained from a linear variety by a finite sequence of ascending G-biliaisons on some determinantal schemes. We describe the biliaisons explicitly in the proof of Theorem 2.3. In particular, it follows that these schemes are glicci. (c) 2005 Published by Elsevier Inc.

【 授权许可】

Free