限定投影超曲面奇点

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2024-10-15 DOI:10.1016/j.aim.2024.109970

Ben Castor

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引用次数: 0

摘要

我们比较了涉及奇点霍奇理论谱的几种不同方法，这些方法对固定度的投影超曲面上孤立奇点的数量和类型产生了约束。特别是，我们引入了一种基于这种超曲面上仿射锥原点处非孤立奇点谱的方法，并将由此得到的显式公式与瓦尔琴科约束联系起来。

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Bounding projective hypersurface singularities

We compare several different methods involving Hodge-theoretic spectra of singularities which produce constraints on the number and type of isolated singularities on a projective hypersurface of fixed degree. In particular, we introduce a method based on the spectrum of the nonisolated singularity at the origin of the affine cone on such a hypersurface, and relate the resulting explicit formula to Varchenko's bound.

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来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.