Construction of stationary discs for perturbations of decoupled submanifolds in ℂ⁴

2025/07/01 by Mohammad Tarek Al Masri, Florian Bertrand, Masri, Mohammad Tarek Al +7
Mathematics · #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2507.00666

openalex publication_date 2025/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct generalized stationary discs to perturbations of decoupled real submanifolds of codimension 2 in ℂ⁴.

Citations

• Stationary discs and finite jet determination for CR mappings in higher\n codimension
• Stationary discs and finite jet determination for non-degenerate generic\n real submanifolds
• Jet determination of smooth CR automorphisms and generalized stationary\n discs
• Riemann-Hilbert problems with constraints
• Stationary discs for smooth hypersurfaces of finite type and finite jet determination
• Stationary holomorphic discs and finite jet determination problems
• Finite jet determination of local analytic CR automorphisms and their parametrization by 2-jets in the finite type case

Related

• Explicit construction of stationary discs and its consequences for nondegenerate quadrics
• Nondefective stationary discs and 2-jet determination in higher\n codimension
• Stationary discs and finite jet determination for non-degenerate generic\n real submanifolds
• The 1-jet determination of stationary discs attached to generic CR submanifolds
• Jet determination of smooth CR automorphisms and generalized stationary\n discs