Work

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

Year: 2025

Type: article

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.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.70362

Authors: Ulrich Derenthal, Florian Wilsch

Institutions: Leibniz University Hannover, University of Göttingen

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

Funder: Deutsche Forschungsgemeinschaft