Fy. Zheng, Hirzebruch-Kato surfaces, Deligne-Mostow's construction, and new examples of negatively curved compact Kahler surfaces, COMMUN AN G, 7(4), 1999, pp. 755-786
In this article, we shall use the construction of Hirzebruch, Hofer, Kato,
and Deligne-Mostow on compact complex 2-ball quotients to construct further
finite Galois coverings over them, and by the analytical result of [M-S] a
nd [Z], these coverings will admit Kahler metrics which are quasi-negativel
y curved, or negatively curved when the branching locus is smooth.