Positivity of direct image bundles and convexity on the space of Kahler metrics

2006/08/15 by Bo Berndtsson, Berndtsson, Bo · 2 citations
Mathematics · #32L15 #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.math/0608385

openalex publication_date 2006/08/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We develop some results on the positivity of direct image bundles in the particular case of a trivial fibration over a one-dimensional base. We also apply the results to study variations of Kahler metrics.

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