Mihai Fulger and Marius Marchitan: Some splitting criteria on Hirzebruch surfaces. p.313-323

Abstract:

We prove some criteria for splitting of rank-two vector bundles on Hirzebruch surfaces. As a main tool we use Beilinson's type spectral sequences.

Key Words: Hirzebruch surface, vector bundle, Beilinson spectral sequence, cohomological methods, classification.

2000 Mathematics Subject Classification: Primary: 14J60;
Secondary: 14F05, 46M20, 13DXX.

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