A Nakai-Moishezon criterion for non-Kähler surfaces
Annales de l'Institut Fourier, Volume 50 (2000) no. 5, pp. 1533-1538.

A version of the classical Nakai-Moishezon criterion is proved for all compact complex surfaces, regardless of the parity of the first Betti number.

Une version du critère de Nakai-Moishezon est démontrée pour toute surface compacte complexe, quelle que soit la parité du premier nombre de Betti.

@article{AIF_2000__50_5_1533_0,
     author = {Buchdahl, Nicholas},
     title = {A {Nakai-Moishezon} criterion for {non-K\"ahler} surfaces},
     journal = {Annales de l'Institut Fourier},
     pages = {1533--1538},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {50},
     number = {5},
     year = {2000},
     doi = {10.5802/aif.1799},
     mrnumber = {2002b:32031},
     zbl = {0964.32014},
     language = {en},
     url = {http://archive.numdam.org/articles/10.5802/aif.1799/}
}
TY  - JOUR
AU  - Buchdahl, Nicholas
TI  - A Nakai-Moishezon criterion for non-Kähler surfaces
JO  - Annales de l'Institut Fourier
PY  - 2000
SP  - 1533
EP  - 1538
VL  - 50
IS  - 5
PB  - Association des Annales de l’institut Fourier
UR  - http://archive.numdam.org/articles/10.5802/aif.1799/
DO  - 10.5802/aif.1799
LA  - en
ID  - AIF_2000__50_5_1533_0
ER  - 
%0 Journal Article
%A Buchdahl, Nicholas
%T A Nakai-Moishezon criterion for non-Kähler surfaces
%J Annales de l'Institut Fourier
%D 2000
%P 1533-1538
%V 50
%N 5
%I Association des Annales de l’institut Fourier
%U http://archive.numdam.org/articles/10.5802/aif.1799/
%R 10.5802/aif.1799
%G en
%F AIF_2000__50_5_1533_0
Buchdahl, Nicholas. A Nakai-Moishezon criterion for non-Kähler surfaces. Annales de l'Institut Fourier, Volume 50 (2000) no. 5, pp. 1533-1538. doi : 10.5802/aif.1799. http://archive.numdam.org/articles/10.5802/aif.1799/

[BPV] W. Barth, C. Peters and A. Van De Ven, Compact Complex Surfaces, Berlin-Heidelberg-New York, Springer, 1984. | MR | Zbl

[Bou] N. Bourbaki, Groupes et Algèbres de Lie, Ch. 4, 5, 6, “Éléments de mathématiques” Fasc. XXXIV, Paris, Hermann, 1968.

[B] N. P. Buchdahl, On compact Kähler surfaces, Ann. Inst. Fourier, 49-1 (1999), 287-302. | Numdam | MR | Zbl

[G] P. Gauduchon, Le théorème de l'excentricité nulle, C. R. Acad. Sci. Paris, 285 (1977), 387-390. | MR | Zbl

[GH] P. A. Griffiths and J. Harris, Principles of Algebraic Geometry, New York, Wiley, 1978. | MR | Zbl

[HL] R. Harvey and H. B. Lawson, An intrinsic characterisation of Kähler manifolds, Invent. Math., 74 (1983), 169-198. | MR | Zbl

[L] A. Lamari, Le cône kählérien d'une surface, J. Math. Pures Appl., 78 (1999), 249-263. | MR | Zbl

Cited by Sources: