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Restricted classes of veronese type ideals and algebras
International Journal of Algebra and Computation ( IF 0.5 ) Pub Date : 2020-11-13 , DOI: 10.1142/s0218196721500090
Rodica Dinu 1 , Jürgen Herzog 2 , Ayesha Asloob Qureshi 3
Affiliation  

We study ideals which are generated by monomials of degree [Formula: see text] in the polynomial ring in [Formula: see text] variables and which satisfy certain numerical side conditions regarding their exponents. Typical examples of such ideals are the ideals of Veronese type, squarefree Veronese ideals or [Formula: see text]-spread Veronese ideals. In this paper we focus on [Formula: see text]-bounded [Formula: see text]-spread Veronese ideals and on Veronese ideals of bounded support. Their powers as well as their fiber cone are also considered.

中文翻译:

Veronese 类型理想和代数的受限类

我们研究由 [公式:参见文本] 变量的多项式环中的次数单项式 [公式:参见文本] 生成的理想,并且它们满足有关其指数的某些数值边条件。这种理想的典型例子是 Veronese 类型的理想、squarefree Veronese 理想或 [公式:见正文]-spread Veronese 理想。在本文中,我们关注[公式:见文本]-有界[公式:见文本]-传播维罗纳理想和有界支持的维罗纳理想。还考虑了它们的功率以及它们的纤维锥。
更新日期:2020-11-13
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