Open Access
2009 Cusp algebras
J. Agler, J. E. McCarthy
Publ. Mat. 53(1): 111-118 (2009).


A cusp is the image of the unit disk under a proper holomorphic map into ${\mathbb C}^n$ 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 ${\mathbb C}^2$.


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J. Agler. J. E. McCarthy. "Cusp algebras." Publ. Mat. 53 (1) 111 - 118, 2009.


Published: 2009
First available in Project Euclid: 17 December 2008

zbMATH: 1154.14306
MathSciNet: MR2474117

Primary: 14H10 , 30F20

Keywords: cusp , holomap , Petal

Rights: Copyright © 2009 Universitat Autònoma de Barcelona, Departament de Matemàtiques

Vol.53 • No. 1 • 2009
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