Singularities and analytic torsion

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

paper · pdf · doi:10.48550/arxiv.1007.2835

openalex publication_date 2010/07/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the logarithmic divergence of equivariant analytic torsion for one-parameter degenerations of projective algebraic manifolds, when the coefficient vector bundle is given by a Nakano semi-positive vector bundle twisted by the relative canonical bundle.

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