Abstract:
This is part of my joint work with Prof. Usha
Bhosle. I will determine (semi)stability
of kernels of evaluation maps of globally generated
torsion-free sheaves on a nodal and cuspidal curve in some
important cases. I will use them to study
(semi)stability properties of the restrictions of the
Picard bundle $E_d$ (on the compactified Jacobian) to the
images of $Y$ in the compactified Jacobian for certain
embeddings.
