Scholarlink

<p>In this article, we introduce the <i>k</i>-th collineation variety of a third order tensor. This is the closure of the image of the rational map of size <i>k</i> minors of a matrix of linear forms associated to the tensor. We classify such varieties in the case of pencils of matrices, and nets of matrices of small size. We discuss the natural stratification of tensor spaces induced by the invariants and the geometric type of the collineation varieties.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Collineation varieties of tensors

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年1月22日

查看全文
  • Fulvio Gesmundo,
  • Hanieh Keneshlou

摘要

In this article, we introduce the k-th collineation variety of a third order tensor. This is the closure of the image of the rational map of size k minors of a matrix of linear forms associated to the tensor. We classify such varieties in the case of pencils of matrices, and nets of matrices of small size. We discuss the natural stratification of tensor spaces induced by the invariants and the geometric type of the collineation varieties.