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arXiv · 2505.10245

Iitaka fibrations and integral points: a family of arbitrarily polarized spherical threefolds

Ulrich Derenthal·Florian Wilsch
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Abstract

Studying Manin's program for a family of spherical log Fano threefolds, we determine the asymptotic number of integral points whose height associated with an arbitrary ample line bundle is bounded. This confirms a recent conjecture by Santens and sheds new light on the logarithmic analogue of Iitaka fibrations, which have not yet been adequately formulated.

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Ulrich Derenthal, Florian Wilsch. 2025-05-15. Iitaka fibrations and integral points: a family of arbitrarily polarized spherical threefolds. https://arxiv.org/abs/2505.10245

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