具有两个射影束结构的流形

arXiv: Algebraic Geometry Pub Date : 2020-01-17 DOI:10.1090/proc/15762

Gianluca Occhetta, Luis E. Sol'a Conde, E. Romano

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引用次数: 5

摘要

本文对具有任意相对维数的两个射影束结构的Picard数2的变种进行了分类，假设这些结构相互一致。作为一个应用，我们证明了承认$\mathbb C^*$-动作的Picard 1的变种的Campana—Peternell猜想。

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Manifolds with two projective bundles structures

In this paper we classify varieties of Picard number two having two projective bundle structures of any relative dimension, under the assumption that these structures are mutually uniform. As an application we prove the Campana--Peternell conjecture for varieties of Picard number one admitting $\mathbb C^*$-actions of a certain kind.

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arXiv: Algebraic Geometry

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