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arXiv · 2409.19981

On the Kodaira dimension of some algebraic fiber spaces

Yongpan Zou
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Abstract

In this paper, we study the descent of positivity of the canonical bundle along fiber spaces. As a consequence, we prove a conjecture of Schnell, establishing the equivalence between the Non-vanishing Conjecture and its generalized version proposed by Campana and Peternell.

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Yongpan Zou. 2024-09-30. On the Kodaira dimension of some algebraic fiber spaces. https://arxiv.org/abs/2409.19981

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