The Poincaré sheaf on each stratum of the singular locus of the compactified Jacobian of a nodal curve is expressed via the Poincaré sheaf on the corresponding partial normalization through the moduli space of parabolic modules.
Fourier-Mukai transform for fine compactified Prym varieties
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Fourier-Mukai transforms and normalisation of nodal curves
The Poincaré sheaf on each stratum of the singular locus of the compactified Jacobian of a nodal curve is expressed via the Poincaré sheaf on the corresponding partial normalization through the moduli space of parabolic modules.