Unfolding CR Singularities

Unfolding CR Singularities

by Adam Coffman
     
 

ISBN-10: 0821846574

ISBN-13: 9780821846575

Pub. Date: 04/07/2010

Publisher: American Mathematical Society

A notion of unfolding, or multi-parameter 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 $2$-space, deformations of elliptic, hyperbolic, and parabolic points are analyzed by

Overview

A notion of unfolding, or multi-parameter 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 $2$-space, deformations of elliptic, hyperbolic, and parabolic points are analyzed by putting the parameter-dependent 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.

Product Details

ISBN-13:
9780821846575
Publisher:
American Mathematical Society
Publication date:
04/07/2010
Series:
Memoirs of the American Mathematical Society Series, #205
Pages:
90
Product dimensions:
6.80(w) x 9.90(h) x 0.20(d)

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