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.
Branes on the singular locus of the Hitchin system via Borel and other parabolic subgroups
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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.