极度和消失循环

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Topology Pub Date : 2022-09-17 DOI:10.1112/topo.12260

Dirk Siersma, Mihai Tibăr

引用次数: 2

摘要

证明了任意奇异射影超曲面的极度可以分解为量化两种不同类型的局部消失环的非负数的和。这就得到了任何奇异射影超曲面极度的下界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Polar degree and vanishing cycles

We prove that the polar degree of an arbitrarily singular projective hypersurface can be decomposed as a sum of non-negative numbers which quantify local vanishing cycles of two different types. This yields lower bounds for the polar degree of any singular projective hypersurface.

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来源期刊

Journal of Topology 数学-数学

CiteScore

2.00

自引率

9.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Topology publishes papers of high quality and significance in topology, geometry and adjacent areas of mathematics. Interesting, important and often unexpected links connect topology and geometry with many other parts of mathematics, and the editors welcome submissions on exciting new advances concerning such links, as well as those in the core subject areas of the journal. The Journal of Topology was founded in 2008. It is published quarterly with articles published individually online prior to appearing in a printed issue.