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Surjectivity of the period map in the case of quartic surfaces and sextic double planes


Author: Jayant Shah
Journal: Bull. Amer. Math. Soc. 82 (1976), 716-718
MSC (1970): Primary 14D05, 14D20, 14J10, 14J15, 14J25
DOI: https://doi.org/10.1090/S0002-9904-1976-14126-2
MathSciNet review: 0417188
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  • 1. I. I. Pjateckiĭ-Šapiro and I. R. Šafarevič, A Torelli theorem for algebraic surfaces of type K3, Izv. Akad. Nauk SSSR Ser. Mat. 35 (1971), 530-572 = Math. USSR Izv. 5 (1971), 547-588. MR 44 #1666.[Note] MR 284440
  • 2. P. A. Griffiths, Periods of integrals on algebraic manifolds: Summary of main results and discussion of open problems, Bull. Amer. Math. Soc. 76 (1970), 228—296. MR 41 #3470.
  • 3. E. Horikawa, Surjectivity of the period map of K3 surfaces of degree 2 (to appear).
  • 4. D. Mumford, Geometric invariant theory, Academic Press, New York; Springer-Verlag, Berlin, 1965. MR 35 #5451. MR 214602
  • 5. G. Kempf, F. Knudsen, D. Mumford and B. Saint-Donat, Toroidal embeddings. I, Lecture Notes in Math, vol. 339, Springer-Verlag, Berlin and New York, 1973. MR 49 #299. MR 335518
  • 6. C. H. Clemens, Jr., Picard-Lefschetz theorem for families of nonsingular algebraic varieties acquiring ordinary singularities, Trans. Amer. Math. Soc. 136 (1969), 93-108. MR 38 #2135. MR 233814

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DOI: https://doi.org/10.1090/S0002-9904-1976-14126-2

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