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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, defor...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Coffman, Adam, 1971-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, 2010.
Colección:Memoirs of the American Mathematical Society ; no. 962.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Unfolding CR singularities /  |c Adam Coffman. 
264 1 |a Providence, R.I. :  |b American Mathematical Society,  |c 2010. 
300 |a 1 online resource (vii, 90 pages) :  |b illustrations 
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500 |a "Volume 205, number 962 (first of 5 numbers)." 
500 |a "May 2010." 
504 |a Includes bibliographical references. 
505 0 |a 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. 
588 0 |a Print version record. 
520 3 |a "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 
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650 0 |a CR submanifolds. 
650 0 |a Deformations of singularities. 
650 0 |a Global analysis (Mathematics) 
650 6 |a CR-sous-variétés. 
650 6 |a Déformations de singularités. 
650 6 |a Analyse globale (Mathématiques) 
650 7 |a MATHEMATICS  |x Geometry  |x General.  |2 bisacsh 
650 7 |a CR submanifolds  |2 fast 
650 7 |a Deformations of singularities  |2 fast 
650 7 |a Global analysis (Mathematics)  |2 fast 
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