Modular Zilber-Pink for geometrically generic varieties
Number Theory
2025-09-04 v1 Algebraic Geometry
Logic
Abstract
We prove that the modular Zilber--Pink conjecture (in Pink's formulation in terms of unlikely intersections) holds for all subvarieties of for which no projection to any coordinates is defined over the algebraic numbers.
Keywords
Cite
@article{arxiv.2509.03160,
title = {Modular Zilber-Pink for geometrically generic varieties},
author = {Vahagn Aslanyan and Sebastian Eterović and Guy Fowler},
journal= {arXiv preprint arXiv:2509.03160},
year = {2025}
}
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17 pages