Characterising Ball Quotients through their (higher) Chern Numbers
Algebraic Geometry
2026-03-12 v2
Abstract
In this short note we provide a characterisation of ball quotients among all minimal smooth projective varieties of general type purely in terms of their characteristic numbers. This generalises earlier work of Miyaoka, Yau and Greb--Kebekus--Peternell--Taji.
Cite
@article{arxiv.2602.05509,
title = {Characterising Ball Quotients through their (higher) Chern Numbers},
author = {Niklas Müller},
journal= {arXiv preprint arXiv:2602.05509},
year = {2026}
}
Comments
v2: Added an explanation to point out that the main result is related to the existence of holomorphic normal projective connections. 7 pages, comments are still welcome!