Polar degree and vanishing cycles
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Publication date
2021-03-07
Authors
Siersma, D.
Tibăr, Mihai
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Document Type
/dk/atira/pure/researchoutput/researchoutputtypes/workingpaper/preprint
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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.
Keywords
Mathematics - Algebraic Geometry, Mathematics - Complex Variables, 32S30, 14C17, 32S50, 55R55
Citation
Siersma, D & Tibăr, M 2021 'Polar degree and vanishing cycles' arXiv, pp. 1-26. https://doi.org/10.48550/arXiv.2103.04402