Low-dimensional quadratic relative character varieties for the projective line minus three points
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 $r\leq R(d)$.
Mots clés
2020 Mathematics Subject Classification. Primary 14HD20
Secondary 14H30 14L35 20G20 fundamental group representation middle convolution relative character variety parabolic Higgs bundle orthogonal group symplectic group conjugacy class
Secondary 14H30
14L35
20G20 fundamental group
representation
middle convolution
relative character variety
parabolic Higgs bundle
orthogonal group
symplectic group
conjugacy class
Domaines
Mathématiques [math]Origine | Fichiers produits par l'(les) auteur(s) |
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