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：

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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。