In 1991 Campana and Peternell proposed, as a natural algebro-geometric extension of Mori's characterization of the projective space, the problem of classifying the complex projective Fano manifolds whose tangent bundle is nef, conjecturing that the only varieties satisfying these properties are rational homogeneous. In this paper we review some background material related to this problem, with special attention to the partial results recently obtained by the authors.
A survey on the Campana-Peternell Conjecture / Muñoz, Roberto; Occhetta, Gianluca; Sola Conde, Eduardo Luis; Watanabe, Kiwamu; Wisniewski, Jaroslaw. - In: RENDICONTI DELL'ISTITUTO DI MATEMATICA DELL'UNIVERSITÀ DI TRIESTE. - ISSN 0049-4704. - 2015, 47:(2015), pp. 127-185. [10.13137/0049-4704/11223]
A survey on the Campana-Peternell Conjecture
Occhetta, Gianluca;Sola Conde, Eduardo Luis;
2015-01-01
Abstract
In 1991 Campana and Peternell proposed, as a natural algebro-geometric extension of Mori's characterization of the projective space, the problem of classifying the complex projective Fano manifolds whose tangent bundle is nef, conjecturing that the only varieties satisfying these properties are rational homogeneous. In this paper we review some background material related to this problem, with special attention to the partial results recently obtained by the authors.| File | Dimensione | Formato | |
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