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arXiv · 2605.24323

Arakelov inequality for families of pairs

Junchao Shentu
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Abstract

We establish an Arakelov-type inequality for a morphism $f \colon (X,\Delta) \to S$, where $(X,\Delta)$ is a simple normal crossing semi-log canonical pair and $S$ is a smooth projective variety. As a consequence, we derive a bound on the Iitaka volumes of algebraic fiber spaces whose geometric generic fiber admits a good minimal model.

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Junchao Shentu. 2026-05-23. Arakelov inequality for families of pairs. https://arxiv.org/abs/2605.24323

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