Scholarlink

<p>This paper extends the article of Bruns and Conca on <span>Sagbi</span> bases and their computation (J. Symb. Comput. 120 (2024)) in two directions. (i) We describe the extension of the Singular library sagbiNormaliz.sing to the computation of defining ideals of subalgebras of polynomial rings. (ii) We give a complete classification of the algebras of minors for which the generating set is a <span>Sagbi</span> basis with respect to a suitable monomial order and we identify universal <span>Sagbi</span> basis in three cases. The investigation is illustrated by several examples.</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

Sagbi bases, defining ideals and algebras of minors

  • 期刊论文

  • 发表日期：

    2025年6月18日

查看全文
  • Winfried Bruns,
  • Aldo Conca,
  • Francesca Lembo

摘要

This paper extends the article of Bruns and Conca on Sagbi bases and their computation (J. Symb. Comput. 120 (2024)) in two directions. (i) We describe the extension of the Singular library sagbiNormaliz.sing to the computation of defining ideals of subalgebras of polynomial rings. (ii) We give a complete classification of the algebras of minors for which the generating set is a Sagbi basis with respect to a suitable monomial order and we identify universal Sagbi basis in three cases. The investigation is illustrated by several examples.