Complex tangents of real surfaces in complex surfaces
type: Item
instance of: scholarly article
title: Complex tangents of real surfaces in complex surfaces
zbMATH Open document ID: 0761.53032
DOI: 10.1215/S0012-7094-92-06713-5
author: Franc Forstnerič
published in: Duke Mathematical Journal
publication date: 1992-12-14T00:00:00Z
review text: 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.
reviewed by: James Hebda
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 32Q99
Mathematics Subject Classification ID: 53C56
zbMATH DE Number: 78562
zbMATH Keywords: closed real surface
zbMATH Keywords: complex manifold
zbMATH Keywords: complex tangents
zbMATH Keywords: isotopy of embeddings
MaRDI profile type: Publication
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full work available at URL: s0012-7094-92-06713-5
OpenAlex ID: W1564819315
description: scientific article; zbMATH DE number 78562