The birational geometry of irregular Higgs bundles

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.

25 pages, improved exposition

References in corpus (1)

• Hyperkahler manifolds and nonabelian Hodge theory of (irregular) curves

Cited by in corpus (2)

• The first gamma-ray detection of the narrow-line Seyfert 1 FBQS J1644+2619
• Nahm transformation for parabolic integrable connections on the projective line -- case of generic regular graded residues