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The Hilbert functions ofk-configurations in\(\mathbb{P}^2 \) and\(\mathbb{P}^3 \)

  • Yong Su Shin
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Abstract

In this paper, we proved the set of points which are the vertices of then-gon in\(\mathbb{P}^2 \) (n ≥ 3) has the Uniform Position Property and what the graded free resolutions of the ideals ofk-configurations in\(\mathbb{P}^3 \) are.

1991 AMS Mathematical Subject Classification

13D40 14M10 

Key words and phrases

Hilbert function k-configuration Gorenstein sequence minimal graded free resolution 

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Copyright information

© Korean Society for Computational and Applied Mathematics 1995

Authors and Affiliations

  • Yong Su Shin
    • 1
  1. 1.Department of Mathematics and StatisticsQueen’s UniversityKingstonCanada

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