2006/03/09 by Peter Ebenfelt, Ebenfelt, Peter, Linda Preiss Rothschild +2
Mathematics · #32H35 #32V40 #Algebraic Geometry (math.AG) #Algebraic and Geometric Analysis #Analytic and geometric function theory #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Holomorphic and Operator Theory #math.AG #math.CV #math.DG #msc:32H35 #msc:32V40
paper · pdf · doi:10.48550/arxiv.math/0603230
12 pages
openalex publication_date 2006/03/09 · arxiv created 2006/04/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give some results concerning the smoothness of the image of a real-analytic submanifold in complex space under the action of a finite holomorphic mapping. For instance, if the submanifold is not contained in a proper complex subvariety, we give a necessary and sufficient condition guaranteeing that its image is smooth and the mapping is transversal to the image.