Polar degree and vanishing cycles

Dirk Siersma; Mihai Tibăr

doi:10.48550/arXiv.2103.04402

Polar degree and vanishing cycles

Research output: Working paper › Preprint › Academic

Abstract

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

Original language	English
Publisher	arXiv
Pages	1-26
DOIs	https://doi.org/10.48550/arXiv.2103.04402
Publication status	Published - 7 Mar 2021

Keywords

Mathematics - Algebraic Geometry
Mathematics - Complex Variables
32S30
14C17
32S50
55R55

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10.48550/arXiv.2103.04402

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https://arxiv.org/abs/2103.04402

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

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KW - Mathematics - Complex Variables

KW - 32S30

KW - 14C17

KW - 32S50

KW - 55R55

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Polar degree and vanishing cycles

Abstract

Keywords

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