Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Topological types of quasi-ordinary singularities


Author: Kyungho Oh
Journal: Proc. Amer. Math. Soc. 117 (1993), 53-59
MSC: Primary 32S50; Secondary 32S05, 32S25
MathSciNet review: 1106181
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A germ $ (X,x)$ of a complex analytic hypersurface in $ {\mathbb{C}^{d + 1}}$ is quasi-ordinary if it can be represented as the image of an open neighborhood of 0 in $ {\mathbb{C}^d}$ under the map $ ({s_1}, \ldots ,{s_d}) \mapsto (s_1^n, \ldots ,s_d^n,\zeta ({s_1}, \ldots ,{s_d})),\;n > 0$, where $ \zeta $ is a convergent power series. It is shown that the topological type of the singularity $ (X,x) \subset ({\mathbb{C}^{d + 1}},0)$ is determined by a certain set of fractional monomials, called the characteristic monomials, appearing in the fractional power series $ \zeta (t_1^{1/n}, \ldots ,t_d^{1/n})$.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 32S50, 32S05, 32S25

Retrieve articles in all journals with MSC: 32S50, 32S05, 32S25


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1993-1106181-5
PII: S 0002-9939(1993)1106181-5
Article copyright: © Copyright 1993 American Mathematical Society