The birational geometry of irregular Higgs bundles
classification
🧮 math.AG
keywords
irregularbundlescurvehiggsbeauville--narasimhan--ramananbirationalcertaincorrespondence
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We give a variant of the Beauville--Narasimhan--Ramanan correspondence for irregular parabolic Higgs bundles with semi-simple irregular part and show that it defines a Poisson isomorphism between certain irregular Dolbeault moduli spaces of a curve and relative Picard bundles of families of ruled surfaces over a curve.
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