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arXiv · 2603.13938

The multi-height distribution implies the Batyrev-Manin principle

Nicolas Bongiorno
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Abstract

We explain how to deduce from the multi-height analysis of rational points on a toric stack (respectively on a toric variety) the asymptotic study of the number of rational points of bounded orbifold anticanonical height (respectively bounded anticanonical height), using a general version of the hyperbola method developed by Marta Pieropan and Damaris Schindler.

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Nicolas Bongiorno. 2026-03-14. The multi-height distribution implies the Batyrev-Manin principle. https://arxiv.org/abs/2603.13938

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