Periods of integrals on algebraic manifolds: Summary of main results and discussion of open problems

Griffiths, Phillip A.

doi:10.1090/S0002-9904-1970-12444-2

Periods of integrals on algebraic manifolds: Summary of main results and discussion of open problems
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Bull. Amer. Math. Soc. 76 (1970), 228-296

References

P. Deligne, Théorème de Lefschetz et critères de dégénérescence de suites spectrales, Inst. Hautes Études Sci. Publ. Math. 35 (1968), 259–278 (French). MR 244265
Phillip A. Griffiths, On the periods of integrals on algebraic manifolds, Rice Univ. Stud. 54 (1968), no. 4, 21–38. MR 242844
Phillip Griffiths and Wilfried Schmid, Locally homogeneous complex manifolds, Acta Math. 123 (1969), 253–302. MR 259958, DOI 10.1007/BF02392390
A. Grothendieck, On the de Rham cohomology of algebraic varieties, Inst. Hautes Études Sci. Publ. Math. 29 (1966), 95–103. MR 199194, DOI 10.1007/BF02684807
W. V. D. Hodge, The theory and applications of harmonic integrals, Cambridge, at the University Press, 1952. 2d ed. MR 0051571
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. MR 0239612
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). MR 0111056
W. L. Baily Jr. and A. Borel, Compactification of arithmetic quotients of bounded symmetric domains, Ann. of Math. (2) 84 (1966), 442–528. MR 216035, DOI 10.2307/1970457
Armand Borel and Raghavan Narasimhan, Uniqueness conditions for certain holomorphic mappings, Invent. Math. 2 (1967), 247–255. MR 209517, DOI 10.1007/BF01425403
Shiing-shen Chern, Characteristic classes of Hermitian manifolds, Ann. of Math. (2) 47 (1946), 85–121. MR 15793, DOI 10.2307/1969037
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. MR 0234397
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 233814, DOI 10.1090/S0002-9947-1969-0233814-9
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. MR 1857369, DOI 10.1007/PL00004499
Phillip A. Griffiths, On the periods of integrals on algebraic manifolds, Rice Univ. Stud. 54 (1968), no. 4, 21–38. MR 242844
Phillip A. Griffiths, On the periods of integrals on algebraic manifolds, Rice Univ. Stud. 54 (1968), no. 4, 21–38. MR 242844
A. Grothendieck, Un théorème sur les homomorphismes de schémas abéliens, Invent. Math. 2 (1966), 59–78 (French). MR 217089, DOI 10.1007/BF01403390
Pierre Deligne, Quelques idées maîtresses de l’œuvre de A. Grothendieck, Matériaux pour l’histoire des mathématiques au XX$^\textrm {e}$ siècle (Nice, 1996) Sémin. Congr., vol. 3, Soc. Math. France, Paris, 1998, pp. 11–19 (French, with English and French summaries). MR 1640253
K. Kodaira, On compact analytic surfaces. II, III, Ann. of Math. (2) 77 (1963), 563–626; ibid. 78 (1963), 1–40. MR 0184257, DOI 10.2307/1970500
K. Kodaira, On characteristic systems of families of surfaces with ordinary singularities in a projective space, Amer. J. Math. 87 (1965), 227–256. MR 176380, DOI 10.2307/2373235
David I. Lieberman, Higher Picard varieties, Amer. J. Math. 90 (1968), 1165–1199. MR 238857, DOI 10.2307/2373295
Wilfried Schmid, On a conjecture of Langlands, Ann. of Math. (2) 93 (1971), 1–42. MR 286942, DOI 10.2307/1970751
H. Wu, Normal families of holomorphic mappings, Acta Math. 119 (1967), 193–233. MR 224869, DOI 10.1007/BF02392083