Polar degree of hypersurfaces with 1-dimensional singularities

Siersma, Dirk; Tibăr, Mihai

Document type :

Article dans une revue scientifique: Article original

DOI :

10.1016/j.topol.2021.107992

Permalink :

http://hdl.handle.net/20.500.12210/122135

Title :

Polar degree of hypersurfaces with 1-dimensional singularities

Author(s) :

Siersma, Dirk [Auteur]
Universiteit Utrecht / Utrecht University [Utrecht]
Tibăr, Mihai [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Université de Lille

Journal title :

Topology and its Applications

Pages :

107992

Publisher :

Elsevier

Publication date :

2022-05

ISSN :

0166-8641

English keyword(s) :

singular projective hypersurfaces
polar degree
bounds
1-dimensional singularities.

HAL domain(s) :

Mathématiques [math]

English abstract : [en]

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 ...
Show more >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.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

ANR Project :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :