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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Detalhes bibliográficos
Autores: Agler, Jim, McCarthy, John E.
Formato: artículo
Fecha de publicación:2009
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:49605
Acesso em linha:https://ddd.uab.cat/record/49605
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_53109_05
Access Level:acceso abierto
Palavra-chave:Petal
Cusp
Holomap
Descrição
Resumo: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.