Surfaces K 3

Arnaud Beauville

Séminaire Bourbaki (1982-1983)

  • Volume: 25, page 217-229
  • ISSN: 0303-1179

How to cite

top

Beauville, Arnaud. "Surfaces $K3$." Séminaire Bourbaki 25 (1982-1983): 217-229. <http://eudml.org/doc/110009>.

@article{Beauville1982-1983,
author = {Beauville, Arnaud},
journal = {Séminaire Bourbaki},
keywords = {K3 surfaces; Torelli theorem; Sin theorem; Kaehlerianness; Calabi conjecture; even Betti number},
language = {fre},
pages = {217-229},
publisher = {Société Mathématique de France},
title = {Surfaces $K3$},
url = {http://eudml.org/doc/110009},
volume = {25},
year = {1982-1983},
}

TY - JOUR
AU - Beauville, Arnaud
TI - Surfaces $K3$
JO - Séminaire Bourbaki
PY - 1982-1983
PB - Société Mathématique de France
VL - 25
SP - 217
EP - 229
LA - fre
KW - K3 surfaces; Torelli theorem; Sin theorem; Kaehlerianness; Calabi conjecture; even Betti number
UR - http://eudml.org/doc/110009
ER -

References

top
  1. [B] E. Bishop - Conditions for the analyticity of certain sets, Mich. Math. J.11 (1964), 289-304. Zbl0143.30302MR168801
  2. [Bk] N. Bourbaki - Groupes et algèbres de Lie, Chapitres 4 à 6, Masson, Paris, 1981. Zbl0483.22001MR647314
  3. [B-R] D. Burns, M. Rapoport - On the Torelli problem for kählerian K3 surfaces, Ann. Sci. ENS8(1975), 235-274. Zbl0324.14008MR447635
  4. [G] P. Gauduchon - Le théorème de l'excentricité nulle, C.R. Acad. Sci. Paris285 (1977), 387-390. Zbl0362.53024MR470920
  5. [Gr] P. Griffiths - Periods of integrals on algebraic manifolds, II, Amer. J. of Math.90(1968), 805-865. Zbl0183.25501MR233825
  6. [I-S] H. Inose, T. Shioda - On singular K3 surfaces, Complex analysis and algebraic geometry, a collection of papers dedicated to K. Kodaira, Iwanami, Tokyo et C.U.P., Cambridge (1977), 119-136. Zbl0374.14006MR441982
  7. [K] V. Kulikov - Degenerations of K3 surfaces and Enriques surfaces, Math. USSR Izvestija11(1977), 957-989. Zbl0387.14007MR506295
  8. [L] E. Looijenga - A Torelli theorem for Kähler-Einstein K3 surfaces, SpringerLect. Notes in Math.892(1980), 107-112. Zbl0473.53041MR655421
  9. [L-P] E. Looijenga, C. Peters - Torelli theorems for Kähler K3 surfaces, Compositio Math.42(1981), 145-186. Zbl0477.14006MR596874
  10. [M] Y. Miyaoka - Kähler metrics on elliptic surfaces, Proc. Japan Acad.50(1974), 533-536. Zbl0354.32011MR460730
  11. [P-P] U. Persson, H. Pinkham - Degeneration of surfaces with trivial canonical bundle, Ann. of Math.113(1981), 45-66. Zbl0426.14015MR604042
  12. [P-Š] I. Pjateckii-Šapiro, I.R. Šafarevič - A Torelli theorem for algebraic surfaces of type K3, Math. USSR Izvestija5(1971), 547-588. 
  13. [S] Y.T. Siu - Every K3 surface is Kähler, Invent. Math.73(1983), 139-150. Zbl0557.32004MR707352
  14. [Sh] T. Shioda - The period map of abelian surfaces, J. Fac. Sci. Univ. Tokyo25 (1978), 47-59. Zbl0405.14021MR480530
  15. [T] A. Todorov - Applications of the Kähler-Einstein-Calabi-Yau metric to moduli of K3 surfaces, Inventiones Math.61(1980), 251-265. Zbl0472.14006MR592693
  16. [W] A. Weil - Final report on contract AF 18(603)-57 (1958), Collected papers, vol. 2, 390-395, Springer-Verlag, Berlin-Heidelberg-New York (1979). 
  17. [X] Périodes des surfaces K3, Séminaire de géométrie de l'Ecole Polytechnique1981-82, I, à paraître. 
  18. [Y] S.T. Yau - On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampère equation, I, Comm. Pure and Applied Math.31(1978), 339-411. Zbl0369.53059MR480350

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.