Remarks on K\"ahler orbifolds of non-negative Ricci curvature

TL;DR

This paper proves that compact K"ahler orbifolds with non-negative Ricci curvature and specific singularity conditions are simply connected, extending Kobayashi's theorem to orbifold settings.

Contribution

It introduces orbifold versions of Kobayashi's theorem, establishing simple connectivity under non-negative Ricci curvature and singularity conditions.

Findings

Compact K"ahler orbifolds with non-negative Ricci curvature are simply connected.

The result extends classical theorems to orbifold contexts.

Conditions on singularities are crucial for the theorem.

Abstract

This note proves orbifold versions of Kobayashi's theorem. The main result asserts that a compact K\"ahler orbifold with non-negative Ricci curvature, along with certain conditions regarding singularities, is simply connected.