IJPAM: Volume 96, No. 1 (2014)

ON THE HILBERT FUNCTION OF GENERAL
UNIONS OF A RATIONAL CURVE AND 2-POINTS

E. Ballico
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY


Abstract. We study the Hilbert function of general unions in $ \mathbb {P}^r$, $r=3,4$, of a prescribed number of double points and a rational curve with a prescribed degree.

Received: August 20, 2014

AMS Subject Classification: 14N05, 14H99

Key Words and Phrases: postulation, Hilbert function, fat point, unions of lines, double line

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DOI: 10.12732/ijpam.v96i1.11 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 96
Issue: 1
Pages: 143 - 164


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