학술저널
A POINT STAR-CONFIGURATION IN Pⁿ HAVING GENERIC HILBERT FUNCTION
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 28, No. 1
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2015.02119 - 125 (7 pages)
- 4
We find a necessary and sufficient condition for which a point star-configuration in Pⁿ has generic Hilbert function. More precisely, a point star-configuration in Pⁿ defined by general forms of degrees d1 , . . . , ds with 3 ≤ n ≤ s has generic Hilbert function if and only if d1 = · · · = ds-1 = 1 and ds = 1, 2. Otherwise, the Hilbert function of a point star-configuration in Pⁿ is NEVER generic.
1. Introduction
2. A star-configuration in Pⁿ
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