Note on Iitaka Conjecture $C_{n,m}$
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866915670348791808 |
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| author | Ammar, Houari Benammar |
| author_facet | Ammar, Houari Benammar |
| contents | Let \( f: X \to Y \) be an algebraic fiber space, where \( X \) and \( Y \) are smooth projective varieties of dimensions \( n \) and \( m \), respectively. In \cite{Caopaun}, Cao and Păun proved \( C_{n,m} \) when \( Y \) has maximal Albanese dimension. In this paper, we prove \( C_{n,m} \) in the case where the Albanese dimension $α(Y)$ of \( Y \) satisfies \( α(Y) \geq m-2 \). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_06412 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Note on Iitaka Conjecture $C_{n,m}$ Ammar, Houari Benammar Algebraic Geometry Let \( f: X \to Y \) be an algebraic fiber space, where \( X \) and \( Y \) are smooth projective varieties of dimensions \( n \) and \( m \), respectively. In \cite{Caopaun}, Cao and Păun proved \( C_{n,m} \) when \( Y \) has maximal Albanese dimension. In this paper, we prove \( C_{n,m} \) in the case where the Albanese dimension $α(Y)$ of \( Y \) satisfies \( α(Y) \geq m-2 \). |
| title | Note on Iitaka Conjecture $C_{n,m}$ |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2510.06412 |