Unfolding CR singularities

by Coffman, Adam

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Title Statements

Full title :Unfolding CR singularities / Adam Coffman.

Edition Statements

Publication Date:©2009

Publication Statements

Publisher(s):American mathematical Society
Place of Publication:Providence, Rhode Island
Language:eng
Publication Date:©2009

Notes

"Volume 205, Number 962 (first of 5 numbers)."

The Physical Object

Description:1 online resource (90 p.).

Edition Identifiers

ISBN:1470405768, 9781470405762
oclc:on1162501059
LC Classification:QA614.58
Dewey Decimal:516.36

""Contents""; ""Abstract""; ""List of Figures""; ""Unfolding CR singularities""; ""1. Introduction""; ""2. Topological considerations""; ""2.1. A grassmannian construction""; ""2.2. Global index sums""; ""3. Local defining equations and transformations""; ""3.1. Defining equations for m-submanifolds in Cn""; ""3.2. Parametrized families of submanifolds""; ""3.3. The transformation group for unfoldings""; ""4. A complexification construction""; ""5. Real surfaces in C2""; ""5.1. Normal forms""; ""5.2. Unfolding CR singularities of surfaces""; ""5.3. Visualization""

""6. Real m-submanifolds in Cn, m<n""""6.1. Normal forms""; ""6.2. Unfolding CR singularities of m-submanifolds""; ""6.3. The geometry of the algebraic unfolding""; ""7. Rapid convergence proof of the main theorem""; ""7.1. A functional equation""; ""7.2. A solution of a linearized equation""; ""7.3. The new defining equations and some estimates""; ""7.4. Composition of approximate solutions""; ""8. Some other directions""; ""Bibliography""

Subjects

Analyse globale (Mathématiques) CR submanifolds CR-sous-variétés Déformations de singularités Deformations of singularities Global analysis (Mathematics)