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Pré-Publication, Document De Travail Année : 2023

Twistor space for local systems on an open curve

Carlos Simpson

Résumé

Let $X=\overline{X}-D$ be a smooth quasi-projective curve. In arXiv:2110.12300 we constructed a Deligne-Hitchin modui space with Hecke gauge groupoid for connections of rank $2$. We extend this construction to the case of any rank $r$, although still keeping a genericity hypothesis. The formal neighborhood of a preferred section corresponding to a tame harmonic bundle is governed by a mixed twistor structure.

Dates et versions

hal-04288750 , version 1 (16-11-2023)

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Carlos Simpson. Twistor space for local systems on an open curve. 2023. ⟨hal-04288750⟩
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