Potential density of integral points is established for relative SL2 and PGL2 character varieties of all smooth quasi-projective complex varieties with snc compactification.
On a conjecture of D eligne
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Density of integral points in the Betti moduli of quasi-projective varieties
Potential density of integral points is established for relative SL2 and PGL2 character varieties of all smooth quasi-projective complex varieties with snc compactification.