Unfolding CR singularities
"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…
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- Full title :Unfolding CR singularities / Adam Coffman.
Summary
"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."--Page v
Read More ↓Edition Statements
- Publication Date:2010.
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, R.I
- Language:eng
- Publication Date:2010.
Notes
"Volume 205, number 962 (first of 5 numbers)."
"May 2010."
The Physical Object
- Description:1 online resource (vii, 90 pages) : : illustrations
Edition Identifiers
- ISBN:9781470405762, 1470405768
- oclc:ocn893973881
- LC Classification:QA614.58
- Dewey Decimal:516.3/6
Table of Contents
Introduction -- Topological considerations -- Local defining equations and transformations -- A complexification construction -- Real surfaces in C² -- Real m-submanifolds in Cn, m <n -- Rapid convergence proof of the main theorem -- Some other directions.
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