普通捆绑包在特殊的简单小分辨率集上

IF 0.5 4区数学 Q3 MATHEMATICS

Asian Journal of Mathematics Pub Date : 2018-12-28 DOI:10.4310/ajm.2021.v25.n2.a7

Rong Du, X. Fang

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引用次数: 0

摘要

研究了高维孤立简单小奇点的例外集的正规束，当例外集的Picard群为$\mathbb{Z}$时，其正规束具有良好的滤过性。特别地，我们将Nakayama和Ando的结果推广到高维，对于例外集是一个具有分裂法向束的投影空间。此外，我们还将Laufer的合理性和嵌入维数的结果推广到更高的维度。

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Normal bundles on the exceptional sets of simple small resolutions

We study the normal bundles of the exceptional sets of isolated simple small singularities in the higher dimension when the Picard group of the exceptional set is $\mathbb{Z}$ and the normal bundle of it has some good filtration. In particular, for the exceptional set is a projective space with the split normal bundle, we generalized Nakayama and Ando's results to higher dimension. Moreover, we also generalize Laufer's results of rationality and embedding dimension to higher dimension.

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来源期刊

Asian Journal of Mathematics 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： Publishes original research papers and survey articles on all areas of pure mathematics and theoretical applied mathematics.