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The birational geometry of unramified irregular Higgs bundles on curves
Preview AbstractWe give a variant of the Beauville–Narasimhan–Ramanan correspondence for irregular parabolic Higgs bundles on smooth projective curves with fixed semi-simple irregular part and show that it defines a Poisson isomorphism between certain irregular Dolbeault moduli spaces and relative Picard bundles of families of ruled surfaces over the curve.