For every smooth connected complex algebraic curve, every rank r, and prescribed quasi-unipotent boundary conjugacy classes, including nonsemisimple classes, one finite extension of the number field generated by their eigenvalues makes ambient integral points Zariski dense in the exact-boundary locus of the SL_r character variety and in every irreducible component.
For every smooth connected complex algebraic curve, every rank r, and prescribed quasi-unipotent boundary conjugacy classes, including nonsemisimple classes, one finite extension of the number field generated by their eigenvalues makes ambient integral points Zariski dense in the exact-boundary locus of the SL_r character variety and in every irreducible component.
For every smooth connected complex algebraic curve, every rank r, and prescribed quasi-unipotent boundary conjugacy classes, including nonsemisimple classes, one finite extension of the number field generated by their eigenvalues makes ambient integral points Zariski dense in the exact-boundary locus of the SL_r character variety and in every irreducible component.
If correct, answers the determinant-one curve case of Litt’s potential integral-density question in every rank with exact quasi-unipotent boundary conditions.
Do integral points become Zariski dense on every component of a curve SL_r character variety after one finite field extension?
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OpenAI reports integral density on curve character varieties
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