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arXiv · 2510.06412

Note on Iitaka Conjecture $C_{n,m}$

Houari Benammar Ammar
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Abstract

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 P\u{a}un 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 $\alpha(Y)$ of \( Y \) satisfies \( \alpha(Y) \geq m-2 \).

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Houari Benammar Ammar. 2025-10-07. Note on Iitaka Conjecture $C_{n,m}$. https://arxiv.org/abs/2510.06412

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