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Surjectivity of the period map in the case of quartic surfaces and sextic double planes
Author(s):
Jayant
Shah
Journal:
Bull. Amer. Math. Soc.
82
(1976),
716-718.
MSC (1970):
Primary 14D05, 14D20, 14J10, 14J15, 14J25
MathSciNet review:
0417188
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Additional information
References:
- 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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Additional Information:
DOI:
10.1090/S0002-9904-1976-14126-2
PII:
S 0002-9904(1976)14126-2
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