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The birational geometry of unramified irregular Higgs bundles on curves

Szilárd Szabó

Szilárd Szabó

Budapest University of Technology and Economics, Egry J. u. 1., 1111 Budapest, Hungary

Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Reáltanoda u. 13-15., 1053 Budapest, Hungary

E-mail Address: szabosz@math.bme.hu

E-mail Address: szabo.szilard@renyi.mta.hu

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https://doi.org/10.1142/S0129167X17500458Cited by:6 (Source: Crossref)

Abstract

We 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.

Keywords:

AMSC: 14D20, 14F05, 14E05

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