@article{RM_1970_25_3_a13,
author = {P. A. Griffiths},
title = {Report on the variation of {Hodge} structure {(Survey} of main results and discussion of open problems and hypotheses)},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
year = {1970},
volume = {25},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/RM_1970_25_3_a13/}
}
TY - JOUR AU - P. A. Griffiths TI - Report on the variation of Hodge structure (Survey of main results and discussion of open problems and hypotheses) JO - Trudy Matematicheskogo Instituta imeni V.A. Steklova PY - 1970 VL - 25 IS - 3 UR - http://geodesic.mathdoc.fr/item/RM_1970_25_3_a13/ LA - ru ID - RM_1970_25_3_a13 ER -
%0 Journal Article %A P. A. Griffiths %T Report on the variation of Hodge structure (Survey of main results and discussion of open problems and hypotheses) %J Trudy Matematicheskogo Instituta imeni V.A. Steklova %D 1970 %V 25 %N 3 %U http://geodesic.mathdoc.fr/item/RM_1970_25_3_a13/ %G ru %F RM_1970_25_3_a13
P. A. Griffiths. Report on the variation of Hodge structure (Survey of main results and discussion of open problems and hypotheses). Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 25 (1970) no. 3. http://geodesic.mathdoc.fr/item/RM_1970_25_3_a13/
[1] P. Deligne, Théorie de Hodge; Р. Делинь, “Théorème de Lefschetz et critères de dégénérescence de suites spectrales”, Publ. Math. IHES, 35 (1968), 107–126
[2] P. Griffiths, “Periods of integrals on algebraic manifolds. I; II”, Amer. J. Math., 90 (1968), 568–626 ; 805–865 | DOI | MR | Zbl | Zbl
[3] P. Griffiths, “On periods of integrals on algebraic manifolds”, Rice Univ. Studies, 54:4 (1968), 21–38 | MR | Zbl
[4] P. Griffiths, W. Schmid, “Locally homogeneous complex manifolds”, Acta Math., 1970 | MR
[5] A. Grothendieck, “On the de Rham cohomology of algebraic varieties”, Publ. Math. I.H.E.S., 29 (1966), 95–103 | MR
[6] W. V. D. Hodge, The theory and applications of harmonic integrals, Cambridge University Press, 1959
[7] S. Lefschetz, L'analysis situs et la géométrie algébrique, Gauthier-Villars, Paris, 1924 | Zbl
[8] J. Milnor, Singular points of complex hypersurfaces, Ann. of Math. Studies, 61, Princeton Univ. Press, 1968 | MR | Zbl
[9] A. Weil, Introduction a l'etude des variétés kähleriennes, Publ. de l'University de Nancago, 6, Hermann, Paris, 1958 | MR
[10] W. Baily, A. Borel, “Compactification of arithmetic quotients of bounded symmetric domains”, Ann. of Math., 84 (1966), 442–528 | DOI | MR | Zbl
[11] A. Borel, R. Narasimhan, “Uniqueness conditions for certain holomorphic mappings”, Inventiones Math., 2 (1967), 247–255 | DOI | MR | Zbl
[12] S. S. Chern, “Characteristic classes of Hermitian manifolds”, Ann. of Math., 47 (1946), 85–121 | DOI | MR | Zbl
[13] S. S. Chern, “On holomorphic mappings of Hermitian manifolds of the same dimension”, Proc. Symposia in Pure Math., 11, 1968, 157–170 | MR | Zbl
[14] C. Clemens, “Picard-Lefschets theorem for families of nonsingular algebraic varieties acquiring ordinary singularities”, Trans. Amer. Math. Soc., 136 (1969), 93–108 | DOI | MR | Zbl
[15] P. Deligne, Handwritten manuscript on the comparison of algebraic and analytic de Rham cohomology
[16] P. Griffiths, Monodromy of homology and periods of integrals on algebraic manifolds, Preprint from Princeton University | MR
[17] P. A. Griffiths, “A theorem on periods of integrals of algebraic manifolds”, Rice Univ. Studies, 56 (1970):2 (1971), 143–152 | MR | Zbl
[18] A. Grothendieck, “Un theoreme sur les homomorphismes de schemas abeliens”, Inventiones Math., 2 (1966), 59–78 | DOI | MR | Zbl
[19] P. Deligne, A. Grothendieck, On monodromy theorems, S.G.A., 7, I.H.E.S., 1968–1970 | MR
[20] K. Kodaira, “On compact analytic surfaces, III”, Ann. of Math., 78 (1963), 1–40 | DOI | MR | Zbl
[21] K. Kodaira, “On characteristic systems of families of surfaces with ordinary singularities in a projective space”, Amer. J. Math., 87 (1965), 227–256 | DOI | MR | Zbl
[22] A. Landman, On the Picard-Lefschetz transformations, thesis at the Univ. of Calif., Berkeley, 1966
[23] D. Lieberman, “Higher-Picard varieties”, Amer. J. Math., 90 (1968), 1165–1199 | DOI | MR | Zbl
[24] W. Schmid, “On a conjecture of Langlands”, Ann. of Math. | MR
[25] Séminare E.N.S., 10 ième année 1957–1958, Paris
[26] H. Wu, “Normal families of holomorphic mappings”, Acta Math., 119 (1967), 193–233 | DOI | MR | Zbl
[27] I. I. Pyatetskii-Shapiro, Geometriya klassicheskikh oblastei i teoriya avtomorfnykh funktsii, Fizmatgiz, M., 1961 | MR
[28] Serre, Tate, “Good redution of abelian varieties”, Ann. of Math., 88 (1968), 492–517 | DOI | MR | Zbl
[29] M. Artin, A. Grothendieck, Verdier, “Cohomologie etale des schemas”, SGAY, 1963–1964
[30] H. Huber, “Über analytische Abbildungen Riemannscher Flächen in sich”, Comment. Math. Helv., 27 (1953), 1–72 | DOI | MR
[31] S. Kobayashi, “Intrinsic metrics an complex manifolds”, Bull. Ames. Math. Soc., 73 (1967), 347–349 | DOI | MR | Zbl
[32] A. Grotendik, O nekotorykh voprosakh gomologicheskoi algebry, IL, M., 1961