Degeneracy and perturbation conjecture for isolated complex tangents
Degeneracy and perturbation conjecture for isolated complex tangents
Let be an embedding, and suppose it has an isolated complex tangent. Isolated complex tangent conjecture. Every isolated complex tangent of the embedding is necessarily degenerate. Moreover, a sufficiently small perturbation resolves it into either an elliptic circle or a hyperbolic circle. The conjecture concerns the local behavior of isolated complex tangencies in real three-dimensional submanifolds of . The source gives no resolution status or further evidence.
Sources & referencesView supporting material
Primary source
Ali M. Elgindi, “Holomorphic Hulls for Compact 3-Manifolds”, arXiv:2606.24951 (2026).
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