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arXiv · 2103.04402

Polar degree and vanishing cycles

Dirk Siersma·Mihai Tibăr
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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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Dirk Siersma, Mihai Tibăr. 2022-08-02. Polar degree and vanishing cycles. https://doi.org/10.1112/topo.12260

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