关于具有高内啡肽值的极化品种的说明

IF 0.5 4区数学 Q3 MATHEMATICS

Advances in Geometry Pub Date : 2024-01-24 DOI:10.1515/advgeom-2023-0030

Zhining Liu

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引用次数: 0

摘要

我们研究了高内夫值极化变体的分类问题。我们给出了具有高 nef 值的正极化子的同构类的完整列表。这概括了藤田、贝尔特拉梅蒂和索梅塞在光滑情况下的经典工作。因此，我们得到了具有 slc 奇异性和高 nef 值的极化 varieties 在双向上等价于节点曲线上的射影束。

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A note on polarized varieties with high nef value

We study the classification problem for polarized varieties with high nef value. We give a complete list of isomorphism classes for normal polarized varieties with high nef value. This generalizes classical work on the smooth case by Fujita, Beltrametti and Sommese. As a consequence we obtain that polarized varieties with slc singularities and high nef value are birationally equivalent to projective bundles over nodal curves.

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来源期刊

Advances in Geometry 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Geometry is a mathematical journal for the publication of original research articles of excellent quality in the area of geometry. Geometry is a field of long standing-tradition and eminent importance. The study of space and spatial patterns is a major mathematical activity; geometric ideas and geometric language permeate all of mathematics.