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

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


Topological classification of irreducible plane curve singularities in terms of Weierstrass polynomials

Author: Chunghyuk Kang
Journal: Proc. Amer. Math. Soc. 123 (1995), 1363-1371
MSC: Primary 14H20; Secondary 14B05
MathSciNet review: 1291777
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $ f(z,y)$ be analytically irreducible at 0 and $ f(0) = 0$. Then the plane curve singularity defined by f has the same topological type as the curve defined by $ {f_{k + 1}}$ for some $ k \geq 0$ where $ {f_1} = {z^a} + {y^b},{f_2} = {f_1}^{{n_{21}}} + {y^{{m_{11}}}}{z^{{m_{12}}}},{f_3} = {f_2}^{{n_{31}}} + {f_1}^{{n_{22}}}{y^{{m_{21}}}}{z^{{m_{22}}}}, \ldots $ are defined by induction on k with distinct numerical conditions topologically invariant. Moreover, we give an easy alternate proof of Zariski's topological classification theorem of irreducible plane curve singularities.

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

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 14H20, 14B05

Retrieve articles in all journals with MSC: 14H20, 14B05

Additional Information

PII: S 0002-9939(1995)1291777-2
Article copyright: © Copyright 1995 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia