On the Torelli problem for kählerian K - 3 surfaces

Dan Burns; Michael Rapoport

Annales scientifiques de l'École Normale Supérieure (1975)

  • Volume: 8, Issue: 2, page 235-273
  • ISSN: 0012-9593

How to cite

top

Burns, Dan, and Rapoport, Michael. "On the Torelli problem for kählerian $K-3$ surfaces." Annales scientifiques de l'École Normale Supérieure 8.2 (1975): 235-273. <http://eudml.org/doc/81956>.

@article{Burns1975,
author = {Burns, Dan, Rapoport, Michael},
journal = {Annales scientifiques de l'École Normale Supérieure},
language = {eng},
number = {2},
pages = {235-273},
publisher = {Elsevier},
title = {On the Torelli problem for kählerian $K-3$ surfaces},
url = {http://eudml.org/doc/81956},
volume = {8},
year = {1975},
}

TY - JOUR
AU - Burns, Dan
AU - Rapoport, Michael
TI - On the Torelli problem for kählerian $K-3$ surfaces
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1975
PB - Elsevier
VL - 8
IS - 2
SP - 235
EP - 273
LA - eng
UR - http://eudml.org/doc/81956
ER -

References

top
  1. [0] I. I. PIATETSKII-SHAPIRO and I. R. SHAFAREVITCH, A Torelli Theorem for Algebraic Surfaces of Type K-3 (Izv. Akad. Nauk SSSR, vol. 35, 1971; English translation, Math. USSR Izv., vol. 5, 1971, p. 547-587). Zbl0253.14006
  2. [1] M. ARTIN, Algebraic Construction of Brieskorn's Resolutions (J. Algebra, vol, 29, 1974, p. 330-348). Zbl0292.14013MR50 #7143
  3. [2] M. ARTIN, On Isolated Rational Singularities of Surfaces (Amer. J. Math., vol. 88, 1966, p. 129-137). Zbl0142.18602MR33 #7340
  4. [3] M. ATIYAH, On Analytic Surfaces with Double Points (Proc. Roy. Soc., A 247, 1958, p. 237-244). Zbl0135.21301MR20 #2472
  5. [4] E. BISHOP, Conditions for the Analyticity of Certain Sets (Mich. Math. J., vol. 11, 1964, p. 289-304). Zbl0143.30302MR29 #6057
  6. [5] N. BOURBAKI, Groupes et algèbres de Lie, Chap. IV, V, VI, Hermann, Paris, 1968. Zbl0186.33001
  7. [6] E. BRIESKORN, Die Auflösung der rationalen Singularitäten holomorpher Abbildungen (Math. Ann., vol. 178, 1968, p. 255-270). Zbl0159.37703MR38 #2140
  8. [7] P. GRIFFITHS, Periods of Integrals on Algebraic Manifolds: Summary of Main Results and Open Problems (Bull. Amer. Math. Soc., vol. 76, 1970, p. 228-296). Zbl0214.19802MR41 #3470
  9. [8] J. KING, On the Currents Defined by Analytic Varieties (Acta Math., vol. 127, 1971, p. 185-220). Zbl0224.32008MR52 #14359
  10. [9] K. KODAIRA, On Compact Analytic Surfaces, I, II, III (Ann. of Math., vol. 77, 1963, p. 563-626 and vol. 78, 1963, p. 1-40). Zbl0118.15802MR32 #1730
  11. [10] K. KODAIRA, On the Structure of Compact Complex Analytic Surfaces, I, IV (Amer. J. Math., vol. 86, 1964, p. 751-798 and vol. 90, 1968, p. 1048-1066). Zbl0137.17501MR32 #4708
  12. [11] K. KODAIRA, Pluricanonical Systems on Algebraic Surfaces of General Type (J. Math. Soc. of Japan., vol. 20, 1968, p. 170-192). Zbl0157.27704MR37 #212
  13. [12] K. KODAIRA and D. C. SPENCER, On Deformations of Complex Analytic Structures, III (Ann. of Math., vol. 71, 1960, p. 43-76). Zbl0128.16902MR22 #5991
  14. [13] T. MATSUSAKA and D. MUMFORD, Two Fundamental Theorems on Deformations of Polarized Varieties (Amer. J. Math., vol. 86, 1964, p. 668-684). Zbl0128.15505MR30 #2005
  15. [14] J. MORROW and K. KODAIRA, Complex Manifolds, New York, Holt, Rinehard and Winston, 1971. Zbl0325.32001MR46 #2080
  16. [15] I. R. SHAFAREVITCH et al., Algebraic Surfaces, Proc. Steklov Inst. 75; English translation, Providence, A. M. S., 1967. Zbl0236.14016
  17. [16] E. B. VINBERG, Discrete Groups Generated by Reflections in Lobatchevsky Spaces (Mat. Sbornik, vol. 72, 1967; English translation, Math. USSR Sbornik, vol. 1, 1967, p. 429-444). 

Citations in EuDML Documents

top
  1. Eduard Looijenga, Chris Peters, Torelli theorems for Kähler K3 surfaces
  2. Arnaud Beauville, Surfaces K 3
  3. Joseph Lipman, Double point resolutions of deformations of rational singularities
  4. Sampei Usui, Torelli theorem for surfaces with p g = c 1 2 = 1 and K ample and with certain type of automorphism
  5. Jonathan M. Wahl, Simultaneous resolution of rational singularities
  6. Ulrich Karras, On the discriminant of the Artin component
  7. H. Pinkham, Résolution simultanée de points doubles rationnels
  8. F. Catanese, Automorphisms of rational double points and moduli spaces of surfaces of general type

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.