In this paper we consider a canonical compactification of M the moduli space of stable Higgs bundles with fixed determinant of odd degree over a Riemann surface Sigma, producing a projective variety (M) over bar = M boolean OR Z. We give a detailed study of the spaces (M) over bar, Z and M In doing so we reprove some assertions of Laumon and Thaddeus on the nilpotent cone.
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Univ Sydney, Sydney Math Res Inst, Quadrangle, Camperdown, NSW 2006, AustraliaUniv Sydney, Sydney Math Res Inst, Quadrangle, Camperdown, NSW 2006, Australia
Cliff, Emily
Nevins, Thomas
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Univ Illinois, Dept Math, Urbana, IL 61801 USAUniv Sydney, Sydney Math Res Inst, Quadrangle, Camperdown, NSW 2006, Australia
Nevins, Thomas
Shen, Shiyu
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Univ Toronto, Dept Math, Bahen Ctr, 40 St George St, Toronto, ON M5S 2E4, CanadaUniv Sydney, Sydney Math Res Inst, Quadrangle, Camperdown, NSW 2006, Australia