Abstract
Let $SU(r,1)$ be the moduli space of stable vector bundles, on a smooth curve $C$ of genus $g \geq 2$, with rank $r \geq 3$ and determinant $O_C(p)$, $p \in C$; let ${\cal L}$ be the generalized theta divisor on $SU(r,1)$. In this paper we prove that the map ${\phi}_{\cal L}$, defined by ${\cal L}$, is a morphism and has degree $1$.
Citation
Sonia Brivio. Alessandro Verra. "On the theta divisor of {${\rm SU}(r,1)$}." Nagoya Math. J. 165 179 - 193, 2002.
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