Hirzebruch-Kato surfaces, Deligne-Mostow's construction, and new examples of negatively curved compact Kahler surfaces

Authors
Zheng, FY
Citation
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
Citations number
31
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN ANALYSIS AND GEOMETRY
ISSN journal
10198385 → ACNP
Volume
7
Issue
4
Year of publication
1999
Pages
755 - 786
Database
ISI
SICI code
1019-8385(199910)7:4<755:HSDCAN>2.0.ZU;2-R
Abstract
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.