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Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-21548

Gorla, E (2007). The G-biliaison class of symmetric determinantal schemes. Journal of Algebra, 310(2):880-902.

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Abstract

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.

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
DDC:510 Mathematics
Language:English
Date:2007
Deposited On:11 Dec 2009 08:40
Last Modified:19 Apr 2014 00:23
Publisher:Elsevier
ISSN:0021-8693
Publisher DOI:10.1016/j.jalgebra.2005.07.029
Related URLs:http://arxiv.org/abs/math/0505414v4
Citations:Web of Science®. Times Cited: 8
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