@article{1a3b8b6adf8245ea8e21863d1e25f5b1,
title = "Polar degree and vanishing cycles",
abstract = "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.",
author = "Dirk Siersma and Mihai Tib{\u a}r",
note = "Funding Information: The authors thank the Mathematisches Forschungsinstitut Oberwolfach for supporting this research project through the Research in Pairs program, and acknowledge the support of the Labex CEMPI grant (ANR‐11‐LABX‐0007‐01). Publisher Copyright: {\textcopyright} 2022 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.",
year = "2022",
month = dec,
doi = "10.1112/topo.12260",
language = "English",
volume = "15",
pages = "1807--1832",
journal = "Journal of Topology",
issn = "1753-8416",
publisher = "John Wiley and Sons Ltd",
number = "4",
}