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arXiv · 2602.19415

Notes on rational chain connectedness

Osamu Fujino
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Abstract

We extend Hacon--M\textsuperscript{c}Kernan's rational chain connectedness theorem to the complex analytic setting. As a consequence, we prove that the fibers of any resolution of singularities of complex analytic kawamata log terminal singularities are rationally chain connected. In contrast to the original approach, we avoid the use of extension theorems and instead rely on the minimal model program.

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Osamu Fujino. 2026-02-23. Notes on rational chain connectedness. https://arxiv.org/abs/2602.19415

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