Hostname: page-component-586b7cd67f-t7fkt Total loading time: 0 Render date: 2024-11-26T07:50:31.653Z Has data issue: false hasContentIssue false
  • English
  • Français

On the commutativity of fundamental groups of complements to plane curves

Published online by Cambridge University Press:  01 January 1998

ICHIRO SHIMADA
ICHIRO SHIMADA
Affiliation:
Department of Mathematics, Faculty of Science, Hokkaido University, Sapporo 060; e-mail: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper, we prove the following:

Theorem. Let C⊂ℙ3be a complex reduced irreducible space curve which is non- degenerate (i.e., C is not contained in any plane). Let p: C→ℙ2be a general projection. Then the topological fundamental group π1(ℙ2/p(C)) is abelian.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 123 , Issue 1 , January 1998 , pp. 49 - 52
Copyright
Cambridge Philosophical Society 1998

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)