The Theta Divisor of SU_C(2,2d)^s is very Ample if C is not Hyperelliptic

1994/10/21 by Brivio, S., Verra, A.
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.alg-geom/9410021

Abstract

Let X be the moduli space of semistable rank 2 vector bundles over a smooth curve C of genus g ≥ 2 and θ: X → PH⁰(L)^* be the map associated to the generalized theta divisor L on X. We prove that for C not hyperelliptic, the map θ is injective and the differential of θ is injective at smooth points of X.

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