Hostname: page-component-78c5997874-g7gxr Total loading time: 0 Render date: 2024-11-09T13:19:38.197Z Has data issue: false hasContentIssue false

LINEAR SYSTEMS AND QUOTIENTS OF PROJECTIVE SPACE

Published online by Cambridge University Press:  20 March 2003

CHANCHAL KUMAR
Affiliation:
Department of Mathematics, University of Jammu, Jammu – 180 006, [email protected]
Get access

Abstract

A complete characterization of the categorical quotients of $({\mathbb P}^1)^n$ by the diagonal action of $\SL(2, {\mathbb C})$ with respect to any polarization is given by M. Polito, in ‘$\SL(2, {\mathbb C})$-quotients de $({\mathbb P}^1)^n$’, C. R. Acad. Sci. Paris Sér. I 321 (1995) 1577–1582. In this paper, these categorical quotients are obtained by certain linear systems on ${\mathbb P}^{n-3}$?>, depending on the given polarization.

Keywords

Type
NOTES AND PAPERS
Copyright
© The London Mathematical Society 2003

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.)