Low-dimensional quadratic relative character varieties for the projective line minus three points - 3IA Côte d’Azur – Interdisciplinary Institute for Artificial Intelligence
Article Dans Une Revue Science China Mathematics Année : 2024

Low-dimensional quadratic relative character varieties for the projective line minus three points

Carlos Simpson

Résumé

We show that relative character varieties having a fixed dimension $d>0$, for irreducible orthogonal or symplectic local systems of rank $r$ on ${\mathbb P}^1 - \{ 0,1,\infty \}$, are isomorphic via Katz's middle convolution to ones with a bound on the rank $r\leq R(d)$.
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Dates et versions

hal-04705055 , version 1 (22-09-2024)

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Carlos Simpson. Low-dimensional quadratic relative character varieties for the projective line minus three points. Science China Mathematics, In press, ⟨10.1007/s11425-024-2330-8⟩. ⟨hal-04705055⟩
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