Document Zbl 0472.14006

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
scan of Zbl 0472.14006

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

Cite Review PDF

Full Text: DOI EuDML

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 · doi:10.1007/BF02417787
[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 · doi:10.1002/cpa.3160310304
[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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.