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Periods of integrals on algebraic manifolds: Summary of main results and discussion of open problems
Author:
Phillip A. Griffiths
Journal:
Bull. Amer. Math. Soc. 76 (1970), 228-296
MSC (1970):
Primary 3260, 3265, 5366, 5380, 5760, 1401, 1455, 1449; Secondary 2065, 2257, 2270, 3247, 3250, 5550, 1418, 1420, 1451
MathSciNet review:
0258824
Full-text PDF
References |
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Additional Information
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- 2.
- P. Griffiths, Periods of integrals on algebraic manifolds. I, II, Amer. J. Math. 90 (1968), 568-626; 805-865. MR 37 #5215; MR 38 #2146.
- 3.
- P. Griffiths, On the periods of integrals on algebraic manifolds, Rice Univ. Studies 54 (1968), 21-38. MR 242844
- 4.
- P. Griffiths and W. Schmid, Locally homogeneous complex manifolds, Acta Math, (to appear). MR 259958
- 5.
- A. Grothendieck, On the de Rham cohomology of algebraic varieties, Inst. Hautes Études Sci. Publ. Math. No. 29 (1966), 95-103. MR 33 #7343. MR 199194
- 6.
- W. V. D. Hodge, The theory and applications of harmonic integrals, 2nd ed., Cambridge Univ. Press, New York, 1952. MR 14, 500. MR 51571
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- S. Lefschetz, L'analysis situs et la géométrie algébrique, Gauthier-Villars, Paris, 1924.
- 8.
- J. Milnor, Singular points of complex hypersurfaces, Ann. of Math. Studies, no. 61, Princeton Univ. Press, Princeton, N. J., 1968. MR 239612
- 9.
- A. Weil, Introduction à l'étude des variétés kählériennes, Publ. Inst. Math. Nancago, no. VI, Actualités Sci. Indust., no. 1267, Hermann, Paris, 1958. MR 22 #1921. MR 111056
- 10.
- W. L. Baily, Jr. and A. Borel, Compactification of arithmetic quotients of bounded symmetric domains, Ann. of Math. (2) 84 (1966), 442-528. MR 35 #6870. MR 216035
- 11.
- A. Borel and R. Narasimhan, Uniqueness conditions for certain holomorphic mappings, Invent. Math. 2 (1967), 247-255. MR 35 #414. MR 209517
- 12.
- S. S. Chern, Characteristic classes of Hermitian manifolds, Ann. of Math. (2) 47 (1946), 85-121. MR 7, 470. MR 15793
- 13.
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- K. Kodaira, On characteristic systems of families of surfaces with ordinary singularities in a projective space, Amer. J. Math. 87 (1965), 227-256. MR 31 #652. MR 176380
- 22.
- A. Landman, On the Picard-Lefschetz transformations. Thesis, University of California, Berkeley, Calif., 1966.
- 23.
- D. Lieberman, Higher Picard varieties, Amer. J. Math. 90 (1968), 1165-1199. MR 238857
- 24.
- W. Schmid, On a conjecture of Langlands, Ann. of Math, (to appear). MR 286942
- 25.
- Séminaire H. Cartan, Fonctions automorphes, 10e Année, 1957/58, Secrétariat mathématique, Paris, 1958. MR 21 #2750.
- 26.
- H. Wu, Normal families of holomorphic mappings, Acta Math. 119 (1967), 193-233. MR 37 #468. MR 224869
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1970-12444-2
PII:
S 0002-9904(1970)12444-2
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