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

authored by

Ulrich Derenthal, Florian Wilsch

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.

Organisation(s)

Institute of Algebra, Number Theory and Discrete Mathematics

Type

Preprint

Publication date

15.05.2025

Publication status

E-pub ahead of print

Electronic version(s)

https://doi.org/10.48550/arXiv.2505.10245 (Access: Open)