The Kobayashi pseudometric in the presence of log-terminal singularities

TL;DR

This paper demonstrates that the Kobayashi pseudometric maintains its properties when resolving log-terminal singularities, providing a positive answer to a previously open question.

Contribution

It establishes the well-behaved nature of the Kobayashi pseudometric in the context of log-terminal singularities, advancing understanding in complex geometry.

Findings

Kobayashi pseudometric is well-behaved under resolution of log-terminal singularities

Answers a question posed by Kamenova and Lehn

Contributes to the theory of complex singularities and hyperbolicity

Abstract

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