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Infinitesimal Deformations of Generalized Parabolic Hitchin Pairs
We develop the infinitesimal deformation theory of generalized parabolic Hitchin pairs (GPHs) on irreducible nodal curves. For any GPH $(E,ϕ,F(E))$ we associate an explicit three-term deformation complex $\mathcal{C}_{(E_\bullet,ϕ)}$ whose first hypercohomology $\mathbb{H}^1(\mathcal{C}_{(E_\bullet,
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