Hostname: page-component-7479d7b7d-wxhwt Total loading time: 0 Render date: 2024-07-12T08:32:53.227Z Has data issue: false hasContentIssue false
  • English
  • Français

On the Diameter of Plane Curves

Published online by Cambridge University Press:  04 December 2007

SHIH-TSAI FENG  and
GEORG SCHUMACHER
SHIH-TSAI FENG
Affiliation:
Max-Planck-Institute for Mathematics in the Sciences (MIS), Inselstr. 22-26, D-04103 Leipzig, Germany;
GEORG SCHUMACHER
Affiliation:
Fachbereich Mathematik Und Informatik, Philipps-Universität, D-35032 Marburg, Germany; e-mail: schumac@mathematik.uni-marburg.de
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Recently, differential geometric properties of embedded projective varieties have gained increasing interest. In this note, we consider plane algebraic curves equipped with the Fubini–Study metric from${\mirrored P}$$_2$(${\mirrored C}$) and give an estimate for the diameter in terms of the degree, initiated in a paper by F. A. Bogomolov.

Keywords

diameterplane curveFubini–Study metric.
Type
Research Article
Information
Compositio Mathematica , Volume 119 , Issue 3 , December 1999 , pp. 331 - 334
Copyright
© 1999 Kluwer Academic Publishers