Some splitting criteria on Hirzebruch surfaces. (English) Zbl 1274.14051
Summary: We prove some criteria for splitting of rank-two vector bundles on Hirzebruch surfaces. As a main tool we use Beilinson’s type spectral sequence.
MSC:
14J60 | Vector bundles on surfaces and higher-dimensional varieties, and their moduli |
14F05 | Sheaves, derived categories of sheaves, etc. (MSC2010) |