Complex tangents of real surfaces in complex surfaces
Let \(M\) be a closed real surface, and let \({\mathcal M}\) be a complex manifold of complex dimension two. Let \(\pi:M\to{\mathcal M}\) be an immersion or embedding of \(M\) into \({\mathcal M}\). A point \(p\in M\) is a complex tangent if \(\pi_ *(T_ pM)\) is a complex 1-dimensional subspace of \(T_{\pi(p)}{\mathcal M}\). Generically, complex tangents are isolated points of \(M\). The author studies the extent to which the structure of the set of complex tangents can be simplified through a regular homotopy of immersions or an isotopy of embeddings.
scientific article; zbMATH DE number 78562
scientific article