具有网络反正则束的射影流形的分解定理

IF 0.9 1区数学 Q2 MATHEMATICS

Journal of Algebraic Geometry Pub Date : 2017-06-27 DOI:10.1090/JAG/715

Junyan Cao, A. Horing

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引用次数: 50

摘要

设X X是一个具有nef反正则丛的单连通投影流形。我们证明了X X是有理连通流形和具有平凡正则丛的流形的乘积。作为一个应用，我们描述了具有nef反正则丛的任何投影流形的MRC fibration。

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A decomposition theorem for projective manifolds with nef anticanonical bundle

Let X X be a simply connected projective manifold with nef anticanonical bundle. We prove that X X is a product of a rationally connected manifold and a manifold with trivial canonical bundle. As an application we describe the MRC-fibration of any projective manifold with nef anticanonical bundle.

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来源期刊

Journal of Algebraic Geometry 数学-数学

CiteScore

2.70

自引率

5.60%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Algebraic Geometry is devoted to research articles in algebraic geometry, singularity theory, and related subjects such as number theory, commutative algebra, projective geometry, complex geometry, and geometric topology. This journal, published quarterly with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.