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Record Nr. |
UNINA9910829068303321 |
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Autore |
Coffman Adam <1971-> |
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Titolo |
Unfolding CR singularities / / Adam Coffman |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2009 |
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©2009 |
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ISBN |
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Descrizione fisica |
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1 online resource (90 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 205, Number 962 |
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Disciplina |
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Soggetti |
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CR submanifolds |
Deformations of singularities |
Global analysis (Mathematics) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 205, Number 962 (first of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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"" |
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