Generalized stationary discs attached to degenerate submanifolds in $\mathbb{C}^N$

Mohammad Tarek Al Masri; Florian Bertrand; Francine Meylan; Lea Oueidat; Hadi Zoghaib

doi:10.48550/arxiv.2602.19717

Generalized stationary discs attached to degenerate submanifolds in $\mathbb{C}^N$

arXiv (Cornell University) 2026 Preprint Open access

Read full text

Authors: Mohammad Tarek Al Masri, Florian Bertrand, Francine Meylan, Lea Oueidat, Hadi Zoghaib

DOI: 10.48550/arxiv.2602.19717

Cited by: 0

Abstract

We study the family of generalized stationary discs attached to a Levi degenerate submanifold M of codimension d in $\mathbb{C}^{n+d}$. We show, under suitable geometric assumptions on M, that this family forms a finite dimensional real submanifold of the Banach space of analytic discs.

Fields of Study & Subjects

Geometry and complex manifolds Holomorphic and Operator Theory Analytic and geometric function theory

Publication details

Journal / source: arXiv (Cornell University)
Publication date: 23 February 2026
Language: EN
Document type: Preprint