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math.AG2026
Weil's Theorem for Logarithmic Connections on Irreducible Nodal Curves
Sourav Das
We establish an analogue of André Weil's classical theorem for irreducible nodal curves. Let \(X_0\) be an irreducible projective nodal curve. We prove that an indecomposable vecto…
math.AG2026
Infinitesimal Deformations of Generalized Parabolic Hitchin Pairs
Sourav Das
We develop the infinitesimal deformation theory of generalized parabolic Hitchin pairs (GPHs) on irreducible nodal curves. For any GPH we associate an explicit three-t…