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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.24323 |
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| _version_ | 1866917526965846016 |
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| author | Shentu, Junchao |
| author_facet | Shentu, Junchao |
| contents | We establish an Arakelov-type inequality for a morphism $f \colon (X,Δ) \to S$, where $(X,Δ)$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_24323 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Arakelov inequality for families of pairs Shentu, Junchao Algebraic Geometry We establish an Arakelov-type inequality for a morphism $f \colon (X,Δ) \to S$, where $(X,Δ)$ 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. |
| title | Arakelov inequality for families of pairs |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2605.24323 |