Characterising Ball Quotients through their (higher) Chern Numbers
arXiv:2602.05509
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.
v3: Minor revisions in line with feedback by the referee, changed numbering to comply with journal guide lines. To appear in Annales de l'Institut Fourier. 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!