The Kobayashi pseudometric in the presence of log-terminal singularities

We show that the Kobayashi pseudometric is well-behaved under resolution of singularities of klt type. This answers a question of Kamenova and Lehn [ <italic>Non-hyperbolicity of holomorphic symplectic varieties</italic> , 2024].

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Publication Details

Journal
Proceedings of the American Mathematical Society
Published
2026-01-21
DOI
https://doi.org/10.1090/proc/17645
Primary Topic
Holomorphic and Operator Theory
Type
article
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article

The Kobayashi pseudometric in the presence of log-terminal singularities

Finn Bartsch
Proceedings of the American Mathematical Society
Holomorphic and Operator Theory
article

The Kobayashi pseudometric in the presence of log-terminal singularities

Finn Bartsch
article en

Abstract

We show that the Kobayashi pseudometric is well-behaved under resolution of singularities of klt type. This answers a question of Kamenova and Lehn [ <italic>Non-hyperbolicity of holomorphic symplectic varieties</italic> , 2024].

Proceedings of the American Mathematical Society
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The Kobayashi pseudometric in the presence of log-terminal singularities — Finn Bartsch · Proceedings of the American Mathematical Society (2026) | TGRS Research Map | TGRS