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LINEAR SYSTEMS AND QUOTIENTS OF PROJECTIVE SPACE

Published online by Cambridge University Press:  20 March 2003

CHANCHAL KUMAR
CHANCHAL KUMAR
Affiliation:
Department of Mathematics, University of Jammu, Jammu – 180 006, Indiachanchal_jammu@yahoo.com
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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

14L2414L30
Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 35 , Issue 2 , March 2003 , pp. 152 - 160
Copyright
© The London Mathematical Society 2003

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