Description 
1 online resource (vii, 90 pages) : illustrations 
Series 
Memoirs of the American Mathematical Society, 00659266 ; number 962 

Memoirs of the American Mathematical Society ; no. 962

Contents 
Introduction  Topological considerations  Local defining equations and transformations  A complexification construction  Real surfaces in C²  Real msubmanifolds in Cn, m <n  Rapid convergence proof of the main theorem  Some other directions 
Summary 
"A notion of unfolding, or multiparameter deformation, of CR singularities of real submanifolds in complex manifolds is proposed, along with a definition of equivalence of unfoldings under the action of a group of analytic transformations. In the case of real surfaces in complex 2space, deformations of elliptic, hyperbolic, and parabolic points are analyzed by putting the parameterdependent real analytic defining equations into normal forms up to some order. For some real analytic unfoldings in higher codimension, the method of rapid convergence is used to establish real algebraic normal forms."Page v 
Notes 
"May 2010." 

"Volume 205, number 962 (first of 5 numbers)." 
Bibliography 
Includes bibliographical references 
Notes 
Print version record 
Subject 
CR submanifolds.


Deformations of singularities.


Global analysis (Mathematics)


CR submanifolds.


Deformations of singularities.


Global analysis (Mathematics)


MATHEMATICS  Geometry  General.

Form 
Electronic book

ISBN 
1470405768 

9781470405762 
