A splitting criterion for vector bundles on blowing ups of the plane

2008/04/01 by Ballico, Edoardo, Malaspina, Francesco
#14J60 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0804.0098

Abstract

Let f_s: X_s → \bf P² be the blowing-up of s distinct points and E a vector bundle on X_s. Here we give a cohomological criterio which is equivalent to E ≅ f_s^∗ (A) with A a direct sum of line bundles. We also some cohomological characterizations of very particular rank 2 vector bundles on \bf P².

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