Segre forms and Kobayashi-Lübke inequality

2015/03/09 by Diverio, Simone
#Algebraic Geometry (math.AG) #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Primary 53C07 #Secondary 53C56

paper · doi:10.48550/arxiv.1503.02512

Abstract

Starting from the description of Segre forms as direct images of (powers of) the first Chern form of the (anti)tautological line bundle on the projectivized bundle of a holomorphic hermitian vector bundle, we derive a version of the pointwise Kobayashi-Lübke inequality.

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