具有半样本反正则因子的流形的象

IF 0.9 1区数学 Q2 MATHEMATICS

Journal of Algebraic Geometry Pub Date : 2016-11-18 DOI:10.1090/JAG/662

C. Birkar, Yifei Chen

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引用次数: 10

摘要

证明了如果f: X→Z是射影流形间的光滑满射态射，如果- KX是半样本，则- KZ也是半样本。这是Fujino和Gongyo推测的。我们列出了几个反例来证明，如果没有f的平滑假设，这种方法就失败了。我们通过证明与klt-平凡纤维(X,B)→Z相关的正则束公式的模因子的一些结果来证明上述结果。

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Images of manifolds with semi-ample anti-canonical divisor

We prove that if f : X → Z is a smooth surjective morphism between projective manifolds and if −KX is semi-ample, then −KZ is also semi-ample. This was conjectured by Fujino and Gongyo. We list several counter-examples to show that this fails without the smoothness assumption on f . We prove the above result by proving some results concerning the moduli divisor of the canonical bundle formula associated to a klt-trivial fibration (X,B)→ Z.

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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.