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math.GR 1

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2025 1

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CONDITIONAL 1

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A strong height gap theorem for $PGL_2$

math.GR · 2025-07-29 · conditional · novelty 7.0

For arithmetic lattices in products of PGL2(R) and PGL2(C), Zariski-dense subgroups have normalized height bounded below by a constant times log(covolume) divided by the square of the field degree.

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  • A strong height gap theorem for $PGL_2$ math.GR · 2025-07-29 · conditional · none · ref 1

    For arithmetic lattices in products of PGL2(R) and PGL2(C), Zariski-dense subgroups have normalized height bounded below by a constant times log(covolume) divided by the square of the field degree.