On Huh’s conjectures for the polar degree

Dirk Siersma (1) , Joseph Steenbrink (2) , Mihai Tibăr (3)

1 Utrecht Mathematical Institute
2 Radboud University [Nijmegen]
3 LPP - Laboratoire Paul Painlevé - UMR 8524

We prove a precise version of a general conjecture on the polar degree stated by June Huh. We confirm Huh’s conjectural list of all projective hypersurfaces with isolated singularities and polar degree equal to 2.

Domaines: Topologie algébrique [math.AT]; Géométrie algébrique [math.AG]; Variables complexes [math.CV]

Dirk Siersma, Joseph Steenbrink, Mihai Tibăr. On Huh’s conjectures for the polar degree. Journal of Algebraic Geometry, 2021, 30 (1), pp.189-203. ⟨10.1090/jag/741⟩. ⟨hal-03328137⟩