)^{\oplus N_i}$, $(i=0,0$). Let $Quot_{V_0/X/\Bbb C}^{\gamma_0}$ ( resp. $Quot_{V_0/X/\Bbb C}^{\gamma _0}$) be a quot-scheme parametrizing all quotients $V_0\to F_0$ (resp. $V_0 \to F_0$) such that $\gamma(F_0)=(r_0,C_0+\frac{d_0