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Abstract: Minimal surfaces in 4-manifolds are branched immersions: although they are not necessarily smooth immersions, they admit tangent planes at their singular points. However the usual notion of isotopy does not work for them: we will investigate alternative means of smooth classification. In the case of complex curves in projective surfaces, we will find ourselves on familiar ground.
A basic problem is: what happens to this classification when embedded minimal surfaces degenerate to a minimal surface with nodes? It is a very hard problem, in general almost nothing is known. We hope to present one or two situations where things are better understood. |
Geometry-Algebra-Singularities-Combinatorics home page:
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| Web page: Alexandru I. Suciu | Created: Feb. 15, 1999 Updated: Feb. 15, 1999 |
Comments to: alexsuciu@neu.edu
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URL: http://www.math.neu.edu/~suciu/gas/ville.html |