论文标题
限制类的Veronese类型理想和代数
Restricted classes of Veronese type ideals and algebras
论文作者
论文摘要
我们研究了由$ n $变量中的多项式环中的单一度$ d $产生的理想，并且满足有关其指数的某些数值侧面条件。这种理想的典型例子是Veronese类型的理想，无方形的Veronese理想或$ t $ -Spread Veronese理想。在本文中，我们专注于$ c $结合的$ t $ spread veronese理想和佛罗伦斯的界限理想。还考虑了它们的力量和纤维锥。
We study ideals which are generated by monomials of degree $d$ in the polynomial ring in $n$ 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 $t$-spread Veronese ideals. In this paper we focus on $c$-bounded $t$-spread Veronese ideals and on Veronese ideals of bounded support. Their powers as well as their fiber cone is also be considered.
