论文信息 - A TORELLI THEOREM FOR ALGEBRAIC SURFACES OF TYPE K3

A TORELLI THEOREM FOR ALGEBRAIC SURFACES OF TYPE K3

In this paper it is proved that an algebraic surface of type K3 is uniquely determined by prescribing the integrals of its holomorphic differential forms with respect to a basis of cycles of the two-dimensional homology group, if the homology class of a hyperplane section is distinguished.

I. Pjateckiĭ-Šapiro | I. Šafarevič

[1] Phillip A. Griffiths,et al. Periods of integrals on algebraic manifolds: Summary of main results and discussion of open problems , 1970 .

[2] A. Borel. Density and maximality of arithmetic subgroups. , 1966 .

[3] J. Lehner. Automorphic functions of several complex variables , 1964 .

[4] D. Mumford,et al. Two Fundamental Theorems on Deformations of Polarized Varieties , 1964 .

[5] K. Kodaira. On compact analytic surfaces II , 1963 .

[6] Richard S. Palais,et al. On the Existence of Slices for Actions of Non-Compact Lie Groups , 1961 .

[7] K. Kodaira. On Compact Complex Analytic Surfaces, I , 1960 .

[8] M. Kneser. Zur Theorie der Kristallgitter , 1954 .

[9] J. Tate. Genus change in inseparable extensions of function fields , 1952 .

[10] H. Coxeter. Discrete Groups Generated by Reflections , 1934 .

[11] F. Severi. Complementi alla teoria della base per la totalitÀ delle curve di una superficie algebrica , 1910 .