On the superadditivity of anticanonical Iitaka dimension
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866908914871697408 |
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| author | Benozzo, Marta Brivio, Iacopo Chang, Chi-Kang |
| author_facet | Benozzo, Marta Brivio, Iacopo Chang, Chi-Kang |
| contents | Given a fibration $f: X \to Y$ with normal general fibre $X_y$, over a field of any characteristic, we establish the Iitaka-type inequality $κ(X,-K_X) \leq κ(X_y,-K_{X_y})+κ(Y,-K_Y)$ whenever the $\mathbb{Q}$-linear series $|-K_X|_{\mathbb{Q}}$ has good singularities on $X_y$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_16580 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the superadditivity of anticanonical Iitaka dimension Benozzo, Marta Brivio, Iacopo Chang, Chi-Kang Algebraic Geometry 14D06, 14J17, 14G17 Given a fibration $f: X \to Y$ with normal general fibre $X_y$, over a field of any characteristic, we establish the Iitaka-type inequality $κ(X,-K_X) \leq κ(X_y,-K_{X_y})+κ(Y,-K_Y)$ whenever the $\mathbb{Q}$-linear series $|-K_X|_{\mathbb{Q}}$ has good singularities on $X_y$. |
| title | On the superadditivity of anticanonical Iitaka dimension |
| topic | Algebraic Geometry 14D06, 14J17, 14G17 |
| url | https://arxiv.org/abs/2309.16580 |