Cusp algebras

Jim Agler; John E. McCarthy

doi:10.5565/PUBLMAT_53109_05

Cusp algebras

Jim Agler
, John E. McCarthy

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	111-118
Number of pages	8
Journal	Publicacions Matematiques
Volume	53
Issue number	1
DOIs	https://doi.org/10.5565/PUBLMAT_53109_05
State	Published - 2009

Keywords

Cusp
Holomap
Petal

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10.5565/PUBLMAT_53109_05

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title = "Cusp algebras",

abstract = "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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AU - McCarthy, John E.

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AB - 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.

KW - Cusp

KW - Holomap

KW - Petal

UR - https://www.scopus.com/pages/publications/60149087133

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DO - 10.5565/PUBLMAT_53109_05

M3 - Article

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JO - Publicacions Matematiques

JF - Publicacions Matematiques

IS - 1

ER -

Cusp algebras

Abstract

Keywords

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