02779nam 2200577 450 991078885770332120170822144408.01-4704-0576-8(CKB)3360000000465146(EBL)3114046(SSID)ssj0000889288(PQKBManifestationID)11482816(PQKBTitleCode)TC0000889288(PQKBWorkID)10876892(PQKB)10371485(MiAaPQ)EBC3114046(RPAM)16096399(PPN)195418522(EXLCZ)99336000000046514620150415h20092009 uy 0engur|n|---|||||txtccrUnfolding CR singularities /Adam CoffmanProvidence, Rhode Island :American Mathematical Society,2009.©20091 online resource (90 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 205, Number 962"Volume 205, Number 962 (first of 5 numbers)."0-8218-4657-4 Includes bibliographical references.""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""Memoirs of the American Mathematical Society ;Volume 205, Number 962.CR submanifoldsDeformations of singularitiesGlobal analysis (Mathematics)CR submanifolds.Deformations of singularities.Global analysis (Mathematics)516.3/6Coffman Adam1971-1565989MiAaPQMiAaPQMiAaPQBOOK9910788857703321Unfolding CR singularities3836191UNINA