Parabolic opers and differential operators

Parabolic SL(r,C)-opers were defined and investigated in [BDP] the set-up of vector bundles on curves with a parabolic structure over divisor. Here we introduce study holomorphic differential operators between curves. We consider Riemann surface X given singular divisor S fixed weights satisfying condition that all at any point $x_i$ are integral multiples $\frac{1}{2N_i+1}$, where $N_i > 1$ integers. prove this space opers is canonically identified affine order r two natural line (depending only $N_i$) conditions principal symbol constant function 1 sub-principal vanishes identically. The vanishing ensures logarithmic connection rank bundle actually SL(r, C)-connection.