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arxiv: 1006.3345 · v2 · pith:LQTBZERInew · submitted 2010-06-16 · 🧮 math.NT · math.AG

Integral points of bounded height on toric varieties

classification 🧮 math.NT math.AG
keywords boundedheightintegralpointstoricvarietiesasymptoticestablish
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We establish asymptotic formulas for the number of integral points of bounded height on toric varieties.

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  1. Manin's conjecture for semi-integral curves and $\mathbb A^1$-connectedness

    math.AG 2026-05 unverdicted novelty 5.0

    Proves log Manin's conjecture for Campana rational curves and A1-curves on split toric varieties by combining Cox-ring moduli descriptions with Batyrev-style counting.