# THE ARTINIAN QUOTIENT OF CODIMENSION n + 1

Shin, Yong-Su

• Accepted : 2019.08.13
• Published : 2019.08.31
• 11 3

#### Abstract

We investigate all kinds of the Hilbert function of the Artinian quotient of the coordinate ring of a linear star configuration in ${\mathbb{P}}^n$ of type (n+1) (or (n+1)-general points in ${\mathbb{P}}^n$), which generalizes the result [7, Theorem 3.1].

#### Keywords

Hilbert function;star configuration;generic Hilbert function;weak Lefschetz property;strong Lefschetz property

#### Acknowledgement

Supported by : Sungshin Women's University