2 problems

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Degeneracy and perturbation conjecture for isolated complex tangents
Let $M^3\hookrightarrow\mathbb{C}^3$ be an embedding, and suppose it has an isolated complex tangent. Isolated complex tangent conjecture. Every isolated complex tangent of the emb…
Conjectureopencomplex-geometry complex-tangents cr-geometryarXiv posted 2 days ago
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Linking and hull containment conjecture for elliptic and hyperbolic components
Let $K_1$ be an elliptic component and $K_2$ a hyperbolic component of a link $L=K_1\cup K_2$ , and let $M$ be the embedded manifold whose holomorphic hull is denoted by…
Conjectureopencomplex-tangents holomorphic-hulls linking-numberarXiv posted 2 days ago

Degeneracy and perturbation conjecture for isolated complex tangents