Hitchin maps and parabolic Hitchin maps on the moduli spaces of Hitchin sheaves on nodal curves

Key Points

• The research aims to analyze the structure and properties of Hitchin maps on moduli spaces of Hitchin and parabolic Hitchin sheaves.
• Examined the Hitchin maps on moduli spaces of sheaves on nodal integral curves.
• Studied fibres and BNR correspondences related to these maps.
• Analyzed the stability of the parabolic Poincaré sheaf in the coprime case.
• Identified key properties of the Hitchin maps and their fibres.
• Proved that the parabolic Poincaré sheaf is parabolic stable under certain conditions.