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Griffiths, P. A.

Periods of integrals on algebraic manifolds: Summary of main results and discussion of open problems. (English) Zbl 0214.19802

Bull. Am. Math. Soc. 76, 228-296 (1970).
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Cited in 7 Reviews
Cited in 99 Documents

MSC:

14D07 Variation of Hodge structures (algebro-geometric aspects)

Citations:

Zbl 0219.14009
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References:

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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. · Zbl 0169.52303
[3] Phillip A. Griffiths, On the periods of integrals on algebraic manifolds, Rice Univ. Studies 54 (1968), no. 4, 21 – 38. · Zbl 0188.24801
[4] Phillip Griffiths and Wilfried Schmid, Locally homogeneous complex manifolds, Acta Math. 123 (1969), 253 – 302. · Zbl 0209.25701 · doi:10.1007/BF02392390
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[8] John Milnor, Singular points of complex hypersurfaces, Annals of Mathematics Studies, No. 61, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1968. · Zbl 0184.48405
[9] André Weil, Introduction à l’étude des variétés kählériennes, Publications de l’Institut de Mathématique de l’Université de Nancago, VI. Actualités Sci. Ind. no. 1267, Hermann, Paris, 1958 (French). · Zbl 0137.41103
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[11] Armand Borel and Raghavan Narasimhan, Uniqueness conditions for certain holomorphic mappings, Invent. Math. 2 (1967), 247 – 255. · Zbl 0145.31802 · doi:10.1007/BF01425403
[12] Shiing-shen Chern, Characteristic classes of Hermitian manifolds, Ann. of Math. (2) 47 (1946), 85 – 121. · Zbl 0060.41416 · doi:10.2307/1969037
[13] Shiing-shen Chern, On holomorphic mappings of hermitian manifolds of the same dimension., Entire Functions and Related Parts of Analysis (Proc. Sympos. Pure Math., La Jolla, Calif., 1966) Amer. Math. Soc., Providence, R.I., 1968, pp. 157 – 170.
[14] C. H. Clemens Jr., Picard-Lefschetz theorem for families of nonsingular algebraic varieties acquiring ordinary singularities, Trans. Amer. Math. Soc. 136 (1969), 93 – 108. · Zbl 0185.51302
[15] Spencer Bloch and Hélène Esnault, Gauss-Manin determinants for rank 1 irregular connections on curves, Math. Ann. 321 (2001), no. 1, 15 – 87. With an appendix in French by P. Deligne. · Zbl 1040.14006 · doi:10.1007/PL00004499
[16] Phillip A. Griffiths, On the periods of integrals on algebraic manifolds, Rice Univ. Studies 54 (1968), no. 4, 21 – 38. · Zbl 0188.24801
[17] Phillip A. Griffiths, On the periods of integrals on algebraic manifolds, Rice Univ. Studies 54 (1968), no. 4, 21 – 38. · Zbl 0188.24801
[18] A. Grothendieck, Un théorème sur les homomorphismes de schémas abéliens, Invent. Math. 2 (1966), 59 – 78 (French). · Zbl 0147.20302 · doi:10.1007/BF01403390
[19] Pierre Deligne, Quelques idées maîtresses de l’œuvre de A. Grothendieck, Matériaux pour l’histoire des mathématiques au XX^{\?} siècle (Nice, 1996) Sémin. Congr., vol. 3, Soc. Math. France, Paris, 1998, pp. 11 – 19 (French, with English and French summaries). · Zbl 1044.01522
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[25] Séminaire H. Cartan, Fonctions automorphes, 10e Année, 1957/58, Secrétariat mathématique, Paris, 1958. MR 21 #2750.
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