Compactification of moduli of Higgs bundles

Details Compactification of moduli of Higgs bundles Compactification of moduli of Higgs bundles

1998-04-17

arxiv.org/abs/math/9804083v1

J. Reine Angew. Math., Volume 503 (1998) 169-192

Mathematics

Algebraic Geometry

Latex, 25 pages, to appear in Crelle's Journal

Scientific paper

In this paper we consider a canonical compactification of Hitchin's moduli space of stable Higgs bundles with fixed determinant of odd degree over a Riemann surface, producing a projective variety by gluing in a divisor at infinity. We give a detailed study of the compactified space, the divisor at infinity and the moduli space itself. In doing so we reprove some assertions of Laumon and Thaddeus on the nilpotent cone.

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