Globally generated vector bundles of rank 2 on a smooth quadric threefold

作者:Ballico E; Huh S*; Malaspina F
来源:Journal of Pure and Applied Algebra, 2014, 218(2): 197-207.
DOI:10.1016/j.jpaa.2013.05.005

摘要

We investigate the existence of globally generated vector bundles of rank 2 with c(1) <= 3 on a smooth quadric threefold and determine their Chern classes. As an automatic consequence every rank 2 globally generated vector bundle on Q with c(1) = 3 is an odd instanton up to twist.

  • 出版日期2014-2