Todorov, Andrei N. Applications of the Kaehler-Einstein-Calabi-Yau metric to moduli of K3 surfaces. (English) Zbl 0472.14006 Invent. Math. 61, 251-265 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 5 ReviewsCited in 57 Documents MSC: 14C30 Transcendental methods, Hodge theory (algebro-geometric aspects) 14J15 Moduli, classification: analytic theory; relations with modular forms 32J25 Transcendental methods of algebraic geometry (complex-analytic aspects) 14D20 Algebraic moduli problems, moduli of vector bundles 53C55 Global differential geometry of Hermitian and Kählerian manifolds 32G13 Complex-analytic moduli problems 14J25 Special surfaces 32J15 Compact complex surfaces Keywords:Kaehler-Einstein-Calabi-Yau metric; moduli of K3 surfaces; marked Kaehler K3 surface; Hodge theory Citations:Zbl 0362.53049; Zbl 0369.53059 PDF BibTeX XML Cite \textit{A. N. Todorov}, Invent. Math. 61, 251--265 (1980; Zbl 0472.14006) Full Text: DOI EuDML OpenURL References: [1] [AHS] Atiyah M., Hitchin, N., Singer, I.: Self-duality in four dimensional Riemannian geometry, Proc. Rot. Soc. Lond. Ser. A362, 425-461 · Zbl 0389.53011 [2] [B] Berger, M.: Sur quelques varietes d’Einstein compactes, Ann. Mat. Pura Appl.53, 89-95 (1961) · Zbl 0115.39301 [3] [BR] Burns, D., Rapoport, M.: On The Torelli problems for Kählerian K3 surfaces, Ann. Sci. Ecole Norm. Sup.4, ser, 8 f.2 (1975) · Zbl 0324.14008 [4] [H] Hitchin, N.: Compact four dimensional Einstein manifolds. J. Differential Geometry9, 435-441 (1974) · Zbl 0281.53039 [5] [LP] Looijenga, E., Peters, C.: Torelli theorems for Kähler K3 surfaces, preprint [6] [KM] Morrow J., Kodaira, K.: Complex Manifolds Holt, Rinehart and Winston, Inc. (1971) [7] [PP] Persson, U., Pinkham, H.: Degeneration of surfaces with trivial canonical bundle, preprint · Zbl 0426.14015 [8] [Sh] Safarevich, I.R.: Algebraic surfaces, Proc. Steklov Inst. Math. V. 75. (1965) [9] [SP] Safarevich, I.R., Shapiro-Piateski, A.: A Torelli theorem for algebraic surfaces of type K3. Izv. Akad. Nauk35, 530-572 (1971) [10] [S] Serre, J.-P.: Cours d’Arithmetique, Paris: Presses Universitaires de France 1970 [11] [ST] Singer, Thorpe: Global Analisis, papers in honor of K. Kodaira, pp. 355-365. Princeton University Press, 1969 [12] [WELLS] Wells, R.O.: Differential Analisis on Complex manifolds, Englewood Cliffs, N.J.: Prentice-Hall, 1973 · Zbl 0262.32005 [13] [Y] Yau, S.T.: On the ricci curvature of a compact Kähler manifolds and the Monge-Amper equation I Comm. Pure Appl. Math.XXXI, 339-411 (1978) · Zbl 0369.53059 [14] [K] Kulikov, V.: The surjectivity of the period map for algebraic K3 surfaces YMH32, 257-258 (1977) · Zbl 0449.14008 [15] [W] Weil, A.: Collected papers, vol.2, pp. 393-395, Berlin-Heidelberg-New York: Springer-Verlag 1979 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.