On the boundary behavior of the curvature of L2-metrics

2010/07/16 by Kenichi Yoshikawa, Ken-Ichi Yoshikawa, Yoshikawa, Ken-Ichi
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.AG #math.DG

paper · pdf · doi:10.48550/arxiv.1007.2836

arxiv created 2010/07/16 · openalex publication_date 2010/07/16 · arxiv updated 2010/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For one-parameter degenerations of compact Kähler manifolds, we determine the asymptotic behavior of the first Chern form of the direct image of a Nakano semi-positive vector bundle twisted by the relative canonical bundle, when the direct image is equipped with the L2-metric.

Citations

• Analytic torsion and holomorphic determinant bundles

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