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arXiv · 2001.06215

Manifolds with two projective bundle structures

Gianluca Occhetta·Luis E. Solá Conde·Eleonora A. Romano
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Abstract

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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Gianluca Occhetta, Luis E. Solá Conde, Eleonora A. Romano. 2020-01-17. Manifolds with two projective bundle structures. https://doi.org/10.1090/proc/15762

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