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.
| Comments: | 13 pages, Comments are welcome |
| Subjects: | Algebraic Geometry (math.AG) |
| Cite as: | arXiv:2605.24323 [math.AG] |
| (or arXiv:2605.24323v1 [math.AG] for this version) | |
| https://doi.org/10.48550/arXiv.2605.24323 arXiv-issued DOI via DataCite (pending registration) |
From: Junchao Shentu [view email]
[v1]
Sat, 23 May 2026 01:04:46 UTC (16 KB)
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