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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)