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On the theta divisor of SU(r; 1)

Published online by Cambridge University Press:  22 January 2016

Sonia Brivio  and
Alessandro Verra
Sonia Brivio
Affiliation:
Dipartimento di Matematica, Universita’ di Pavia, via Abbiategrasso, 209 - 27100 Pavia, Italy, Brivio@dimat.unipv.it
Alessandro Verra
Affiliation:
Dipartimento di Matematica, Universita’ di Roma Tre, largo S. Leonardo Murialdo 1 - 00146, Roma, Italy, Verra@matrm3.mat.uniroma3.it
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Abstract

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Let SU(r; 1) be the moduli space of stable vector bundles, on a smooth curve C of genus g ≥ 2, with rank r ≥ 3 and determinant OC(p), p ∈ C; let L be the generalized theta divisor on SU(r; 1). In this paper we prove that the map øL, defined by L, is a morphism and has degree 1.

Keywords

14D20
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 165 , March 2002 , pp. 179 - 193
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2002

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