Publication details

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 analog of Iitaka fibrations, which have not yet been adequately formulated.

Details

Organisation(s): Institute of Algebra, Number Theory and Discrete Mathematics
External Organisation(s): University of Göttingen
Type: Article
Journal: Journal of the London Mathematical Society
Volume: 112
No. of pages: 28
ISSN: 0024-6107
Publication date: 12.2025
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: General Mathematics
Electronic version(s): https://doi.org/10.1112/jlms.70362 (Access: Open )
https://doi.org/10.48550/arXiv.2505.10245 (Access: Open )
PDF: PDF