On compact Kahler surfaces

被引:88
作者
Buchdahl, N [1 ]
机构
[1] Univ Adelaide, Dept Pure Math, Adelaide, SA 5005, Australia
关键词
compact complex surface; Kahler metric; Nakai criterion; positive current;
D O I
10.5802/aif.1674
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Without relying on the classification of compact complex surfaces, it is proved that every such surface with even first Betti number admits a Kahler metric and that a real form of the classical Nakai-Moishezon criterion holds on the surface.
引用
收藏
页码:287 / +
页数:17
相关论文
共 15 条
  • [1] Barth W., 1984, COMPACT COMPLEX SURF
  • [2] CAMPANA F, 1990, J REINE ANGEW MATH, V407, P160
  • [3] Demailly J.-P., 1992, J. Algebraic Geom., V1, P361
  • [4] DEMAILLY JP, 1994, CONTRIBUTIONS COMPLE
  • [5] GAUDUCHON P, 1977, CR ACAD SCI A MATH, V285, P387
  • [6] Gilbar D., 1983, ELLIPTIC PARTIAL DIF
  • [7] Griffiths P., 1987, PRINCIPLES ALGEBRAIC
  • [8] AN INTRINSIC CHARACTERIZATION OF KAHLER-MANIFOLDS
    HARVEY, R
    LAWSON, HB
    [J]. INVENTIONES MATHEMATICAE, 1983, 74 (02) : 169 - 198
  • [9] KAHLER METRICS ON ELLIPTIC SURFACES
    MIYAOKA, Y
    [J]. PROCEEDINGS OF THE JAPAN ACADEMY, 1974, 50 (08): : 533 - 536
  • [10] Morrow J., 1971, Complex manifolds