Normality of Rees algebras of generalized mixed product ideals

Authors : Monica La Barbiera, Roya Moghimipor

Pages : 168-185

Doi:10.24330/ieja.1402961

View : 59 | Download : 51

Publication Date : 2024-01-09

Article Type : Research Paper

Abstract :Let $K$ be a field and $K[x_1,x_{2}]$ the polynomial ring in two variables over $K$ with each $x_i$ of degree $1$. Let $L$ be the generalized mixed product ideal induced by a monomial ideal $I\\subset K[x_1,x_2]$, where the ideals substituting the monomials in $I$ are squarefree Veronese ideals. In this paper, we study the integral closure of $L$, and the normality of $\\mathcal{R}(L)$, the Rees algebra of $L$. Furthermore, we give a geometric description of the integral closure of $\\mathcal{R}(L)$.
Keywords : Integral closure, normality, Rees algebra, generalized mixed product ideal

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