On the Torelli problem for kählerian K-3 surfaces
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 8 (1975) no. 2, pp. 235-273.
@article{ASENS_1975_4_8_2_235_0,
     author = {Burns, Dan and Rapoport, Michael},
     title = {On the {Torelli} problem for k\"ahlerian $K-3$ surfaces},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {235--273},
     publisher = {Elsevier},
     volume = {Ser. 4, 8},
     number = {2},
     year = {1975},
     doi = {10.24033/asens.1287},
     mrnumber = {56 #5945},
     zbl = {0324.14008},
     language = {en},
     url = {http://archive.numdam.org/articles/10.24033/asens.1287/}
}
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Burns, Dan; Rapoport, Michael. On the Torelli problem for kählerian $K-3$ surfaces. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 8 (1975) no. 2, pp. 235-273. doi : 10.24033/asens.1287. http://archive.numdam.org/articles/10.24033/asens.1287/

[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). | Zbl

[1] M. Artin, Algebraic Construction of Brieskorn's Resolutions (J. Algebra, vol, 29, 1974, p. 330-348). | MR | Zbl

[2] M. Artin, On Isolated Rational Singularities of Surfaces (Amer. J. Math., vol. 88, 1966, p. 129-137). | MR | Zbl

[3] M. Atiyah, On Analytic Surfaces with Double Points (Proc. Roy. Soc., A 247, 1958, p. 237-244). | MR | Zbl

[4] E. Bishop, Conditions for the Analyticity of Certain Sets (Mich. Math. J., vol. 11, 1964, p. 289-304). | MR | Zbl

[5] N. Bourbaki, Groupes et algèbres de Lie, Chap. IV, V, VI, Hermann, Paris, 1968. | Zbl

[6] E. Brieskorn, Die Auflösung der rationalen Singularitäten holomorpher Abbildungen (Math. Ann., vol. 178, 1968, p. 255-270). | MR | Zbl

[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). | MR | Zbl

[8] J. King, On the Currents Defined by Analytic Varieties (Acta Math., vol. 127, 1971, p. 185-220). | MR | Zbl

[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). | MR | Zbl

[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). | MR | Zbl

[11] K. Kodaira, Pluricanonical Systems on Algebraic Surfaces of General Type (J. Math. Soc. of Japan., vol. 20, 1968, p. 170-192). | MR | Zbl

[12] K. Kodaira and D. C. Spencer, On Deformations of Complex Analytic Structures, III (Ann. of Math., vol. 71, 1960, p. 43-76). | MR | Zbl

[13] T. Matsusaka and D. Mumford, Two Fundamental Theorems on Deformations of Polarized Varieties (Amer. J. Math., vol. 86, 1964, p. 668-684). | MR | Zbl

[14] J. Morrow and K. Kodaira, Complex Manifolds, New York, Holt, Rinehard and Winston, 1971. | MR | Zbl

[15] I. R. Shafarevitch et al., Algebraic Surfaces, Proc. Steklov Inst. 75; English translation, Providence, A. M. S., 1967.

[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).

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