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The birational geometry of irregular Higgs bundles (1502.02003v2)

Published 6 Feb 2015 in math.AG

Abstract: 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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