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 $\mathcal{R}(L)$.
Integral closure normality Rees algebra generalized mixed product ideal
Birincil Dil | İngilizce |
---|---|
Konular | Cebir ve Sayı Teorisi |
Bölüm | Makaleler |
Yazarlar | |
Erken Görünüm Tarihi | 13 Aralık 2023 |
Yayımlanma Tarihi | 9 Ocak 2024 |
Yayımlandığı Sayı | Yıl 2024 Cilt: 35 Sayı: 35 |