On the Kodaira dimension of some algebraic fiber spaces

Fuente: arXiv
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Main Author: Zou, Yongpan
Format: Preprint
Published: 2024
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author Zou, Yongpan
author_facet Zou, Yongpan
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2409_19981
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On the Kodaira dimension of some algebraic fiber spaces
Zou, Yongpan
Algebraic Geometry
Complex Variables
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.
title On the Kodaira dimension of some algebraic fiber spaces
topic Algebraic Geometry
Complex Variables
url https://arxiv.org/abs/2409.19981