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

Autores: Edoardo Ballico, Sukmoon Huh, Francesco Malaspina
Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 218, Nº 2, 2014, págs. 197-207
Idioma: inglés
DOI: 10.1016/j.jpaa.2013.05.005
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Resumen
- Weinvestigate the existence of globally generated vector bundles of rank 2 with c1 . 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 c1 = 3 is an odd instanton up to twist.