A Nakai-Moishezon criterion for non-Kähler surfaces

Nicholas Buchdahl

Annales de l'institut Fourier (2000)

  • Volume: 50, Issue: 5, page 1533-1538
  • ISSN: 0373-0956

Abstract

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

How to cite

top

Buchdahl, Nicholas. "A Nakai-Moishezon criterion for non-Kähler surfaces." Annales de l'institut Fourier 50.5 (2000): 1533-1538. <http://eudml.org/doc/75463>.

@article{Buchdahl2000,
abstract = {A version of the classical Nakai-Moishezon criterion is proved for all compact complex surfaces, regardless of the parity of the first Betti number.},
author = {Buchdahl, Nicholas},
journal = {Annales de l'institut Fourier},
keywords = {compact complex surfaces; Nakai criterion; positive current},
language = {eng},
number = {5},
pages = {1533-1538},
publisher = {Association des Annales de l'Institut Fourier},
title = {A Nakai-Moishezon criterion for non-Kähler surfaces},
url = {http://eudml.org/doc/75463},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Buchdahl, Nicholas
TI - A Nakai-Moishezon criterion for non-Kähler surfaces
JO - Annales de l'institut Fourier
PY - 2000
PB - Association des Annales de l'Institut Fourier
VL - 50
IS - 5
SP - 1533
EP - 1538
AB - A version of the classical Nakai-Moishezon criterion is proved for all compact complex surfaces, regardless of the parity of the first Betti number.
LA - eng
KW - compact complex surfaces; Nakai criterion; positive current
UR - http://eudml.org/doc/75463
ER -

References

top
  1. [BPV] W. BARTH, C. PETERS and A. VAN DE VEN, Compact Complex Surfaces, Berlin-Heidelberg-New York, Springer, 1984. Zbl0718.14023MR86c:32026
  2. [Bou] N. BOURBAKI, Groupes et Algèbres de Lie, Ch. 4, 5, 6, “Éléments de mathématiques” Fasc. XXXIV, Paris, Hermann, 1968. 
  3. [B] N. P. BUCHDAHL, On compact Kähler surfaces, Ann. Inst. Fourier, 49-1 (1999), 287-302. Zbl0926.32025MR2000f:32029
  4. [G] P. GAUDUCHON, Le théorème de l'excentricité nulle, C. R. Acad. Sci. Paris, 285 (1977), 387-390. Zbl0362.53024MR57 #10664
  5. [GH] P. A. GRIFFITHS and J. HARRIS, Principles of Algebraic Geometry, New York, Wiley, 1978. Zbl0408.14001MR80b:14001
  6. [HL] R. HARVEY and H. B. LAWSON, An intrinsic characterisation of Kähler manifolds, Invent. Math., 74 (1983), 169-198. Zbl0553.32008MR85b:32013
  7. [L] A. LAMARI, Le cône kählérien d'une surface, J. Math. Pures Appl., 78 (1999), 249-263. Zbl0941.32007MR2000e:32029

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.