Polar degree and vanishing cycles
Algebraic Geometry
2022-09-20 v3 Complex Variables
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.
Cite
@article{arxiv.2103.04402,
title = {Polar degree and vanishing cycles},
author = {Dirk Siersma and Mihai Tibăr},
journal= {arXiv preprint arXiv:2103.04402},
year = {2022}
}
Comments
accepted for publication by the Journal of Topology