IJPAM: Volume 85, No. 6 (2013)

UNION OF LINES IN PROJECTIVE SPACES AND
THEIR INTERSECTION WITH QUADRICS AND HYPERPLANES

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


Abstract. A tree Y ⊂ Pr is a connected nodal curve with lines as components and pa(Y)=0. Here we investigate the existence of certain trees with nice intersection with a quadric Q or a hyperplane H, e.g. we find Y with prescribed Y ∩ H or with h1(Q,IQ ∩ Y(t))=0.

Received: May 17, 2013

AMS Subject Classification: 14H50, 14N05

Key Words and Phrases: union of lines, postulation, intersection with a quadric

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DOI: 10.12732/ijpam.v85i6.10 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: 2013
Volume: 85
Issue: 6