A survey on the Campana-Peternell Conjecture
A survey on the Campana-Peternell Conjecture
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DOI：
10.13137/0049-4704/11223
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发表时间：
2014-07
期刊：
影响因子：
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通讯作者：
R. Muñoz;Gianluca Occhetta;Luis E. Sol'a Conde;Kiwamu Watanabe;Jaroslaw A. Wi'sniewski
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文献类型：
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作者：
R. Muñoz;Gianluca Occhetta;Luis E. Sol'a Conde;Kiwamu Watanabe;Jaroslaw A. Wi'sniewski
1991年，Campana和Peternell提出了切丛为nef的复射影Fano流形的分类问题，作为Mori射影空间表征的自然代数几何扩展，并推测满足这些性质的唯一簇是有理齐次的。在本文中，我们回顾了与该问题相关的一些背景材料，特别关注作者最近获得的部分结果。
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.