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The stringy E-function of the moduli space of Higgs bundles with trivial determinant

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arxiv math/0507007 v1 pith:RCDLGH7D submitted 2005-07-01 math.AG

The stringy E-function of the moduli space of Higgs bundles with trivial determinant

classification math.AG
keywords determinante-functionhiggsmodulispacestringytrivialbundles
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Let M be the moduli space of semistable rank 2 Higgs pairs (V,\phi) with trivial determinant over a smooth projective curve X of genus g>1. We compute the stringy E-function of M and prove that there does not exist a symplectic desingularization of M for g>2.

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