Toric reduction of singularities for Newton nondegenerate p-forms
Bilal Balo
Journal of Singularities
volume 29 (2026), 217-233
Received: 21 April 2026. In revised form: 11 August 2026
Abstract:
We study a class of holomorphic p-forms satisfying nondegeneracy conditions expressed through their Newton polyhedron and called Newton nondegenerate (NND). We give a characterization of NND p-forms by their toric reduction of singularities defined through a regular refinement of their dual fan. We then present an application of this result to the study of singularities of (n-1)-forms on C^n.
Author(s) information:
Bilal Balo
Université Paris Cité
Sorbonne Université
CNRS, IMJ-PRG
F-75013 Paris
email: bilal.balo@imj-prg.fr