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On Higher Rank Globally Generated Vector Bundles over a Smooth Quadric Threefold

Published online by Cambridge University Press:  10 June 2015

E. Ballico
Affiliation:
Università di Trento, 38123 Povo, Trentino, Italy, ([email protected])
S. Huh
Affiliation:
Department of Mathematics, Sungkyunkwan University, Cheoncheon-dong, Jangan-gu, Suwon 440-746, Republic of Korea, ([email protected])
F. Malaspina
Affiliation:
Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy, ([email protected])

Abstract

We give a complete classification of globally generated vector bundles of rank 3 on a smooth quadric threefold with c1 ≤ 2 and extend the result to arbitrary higher rank case. We also investigate the existence of globally generated indecomposable vector bundles, and give the sufficient and necessary conditions on numeric data of vector bundles for indecomposability.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 2016 

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