Cusp algebras

A cusp is the image of the unit disk under a proper holomorphic map into Cn that is one-to-one and whose derivative vanishes at exactly one point. It is simple if not all the second derivatives vanish. We characterize when two simple cusps are isomorphic, and show that they can all be realized in C²...

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Detalles Bibliográficos
Autores: Agler, Jim, McCarthy, John E.
Tipo de recurso: artículo
Fecha de publicación:2009
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:49605
Acceso en línea:https://ddd.uab.cat/record/49605
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_53109_05
Access Level:acceso abierto
Palabra clave:Petal
Cusp
Holomap
Descripción
Sumario:A cusp is the image of the unit disk under a proper holomorphic map into Cn that is one-to-one and whose derivative vanishes at exactly one point. It is simple if not all the second derivatives vanish. We characterize when two simple cusps are isomorphic, and show that they can all be realized in C².