IJPAM: Volume 85, No. 6 (2013)

VECTOR BUNDLES ON A QUADRIC SURFACE
WHICH ARE POSITIVE ON EACH LINE

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


Abstract. Let Q be a smooth quadric surface and E a vector bundle on Q. We say that E is weakly line positive if for each line T ⊂ Q the bundle E | T is a direct sum of line bundles of degree ≥ 0. Here we classify the quadruples (a,b,u,v) ∈ Z4 such that there is a weakly line positive extension of OQ(a,b) by OQ(u,v).

Received: May 1, 2013

AMS Subject Classification: 14J60

Key Words and Phrases: quadric surface, vector bundle

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DOI: 10.12732/ijpam.v85i6.9 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