The stringy E-function of the moduli space of Higgs bundles with trivial determinant
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🧮 math.AG
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determinante-functionhiggsmodulispacestringytrivialbundles
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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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