Hostname: page-component-74656f9884-npj9w Total loading time: 0 Render date: 2026-11-10T21:36:43.675Z Has data issue: false hasContentIssue false
  • English
  • Français

A Note About Linear Systems on Curves

Published online by Cambridge University Press:  20 November 2018

Allen Tannenbaum
Allen Tannenbaum*
Affiliation:
Center for Mathematical System Theory, Department of Mathematics, University of Florida, Gainesville, Florida 32611, U.S.A.
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.

Inverting the Castelnuovo bound in two ways, we show that for given integers p ≥ 0, d > 1, n > 1, we can find a smooth irreducible curve of genus p which contains a linear system of degree d and of maximal dimension relative to the given data p and d, and a smooth irreducible curve of genus p which contains a linear system of dimension n and of minimal degree relative to the data p and n.

Keywords

14H4514C20

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 27 , Issue 3 , 01 September 1984 , pp. 371 - 374
Copyright
Copyright © Canadian Mathematical Society 1984

References

1. Griffiths, P. and Harris, J.. Principles of Algebraic Geometry. John Wiley and Sons, New York (1978).Google Scholar
2. Tannenbaum, A.. Families of algebraic curves with nodes. Compositio Math. 41 (1980), 107–126.Google Scholar