The Kobayashi pseudometric in the presence of log-terminal singularities

2025/07/02 by Finn Bartsch, Bartsch, Finn · 1 citation
Mathematics · #14E05 #32Q99 #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2507.01656

openalex publication_date 2025/07/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the Kobayashi pseudometric is well-behaved under resolution of log-terminal singularities. This answers a question of Kamenova and Lehn.

Citations

• Non-hyperbolicity of holomorphic symplectic varieties
• Shokurov's Rational Connectedness Conjecture
• Families of rationally connected varieties

Cited by

• More counterexamples to the Arithmetic Puncturing Problem

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