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Abstract Let C be a smooth projective curve over the field of complex numbers C of genus g (C) 0. Let E be a locally free sheaf on C of rank r and degree e. Let Q: =Quot₂/₂ (E, k, d) denote the Quot scheme of quotients of E of rank k and degree d. For k0 and d 0, we compute the Picard group of Q.
Gangopadhyay et al. (Thu,) studied this question.