Polar degree of hypersurfaces with 1-dimensional singularities
Algebraic Geometry
2022-05-18 v1
Abstract
We prove a formula for the polar degree of projective hypersurfaces in terms of the Milnor data of the singularities, extending to 1-dimensional singularities the Dimca-Papadima result for isolated singularities. We discuss the semi-continuity of the polar degree in deformations, and we classify the homaloidal cubic surfaces with 1-dimensional singular locus. Some open questions are pointed out along the way.
Keywords
Cite
@article{arxiv.2105.05743,
title = {Polar degree of hypersurfaces with 1-dimensional singularities},
author = {Dirk Siersma and Mihai Tibăr},
journal= {arXiv preprint arXiv:2105.05743},
year = {2022}
}