IJPAM: Volume 92, No. 4 (2014)

POSTULATION OF GENERAL UNIONS
OF DECORATED LINES

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


Abstract. For all integers $a\ge 0$ and $r\ge 3$ an $a$-decorated line $D\subset \mathbb {P}^r$ is a scheme union of a line $D_{\red}$ and $a$ tangent vectors of $\mathbb {P}^r$ at points of $D_{\red}$. Here we study the postulation of general disjoint unions of $a$-decorated lines.

Received: January 19, 2014

AMS Subject Classification: 14N05, 14H99

Key Words and Phrases: postulation, Hilbert function, unions of lines, decorated lines

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DOI: 10.12732/ijpam.v92i4.11 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: 92
Issue: 4
Pages: 569 - 578

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).