Acta Mathematica Vietnamica
Search within journal
Volumes and issues
Regularity Index of Embedded Fat Points
Phan Van Thien , Phan Quang Nhu AnhAbstract
Let $Z=m_1P_1+\cdots +m_sP_s$ be a set of fat points in $\mathbb{P}^n$. Let $\phi$ be a linear embedding of $\mathbb{P}^n$ in $\mathbb{P}^m,$ $ n < m$. We prove that the regularity index of $Z$ and the regularity index of $\phi(Z)$ are the same.