IJPAM: Volume 85, No. 6 (2013)
WHICH ARE POSITIVE ON EACH LINE
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
Download paper from here.
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