no. 1
Rigidity for variations of Hodge structure and Arakelov-type finiteness theorems
Compositio Mathematica, Tome 75 (1990) no. 1, pp. 113-126 
@article{CM_1990__75_1_113_0,
     author = {Peters, C. A. M.},
     title = {Rigidity for variations of {Hodge} structure and {Arakelov-type} finiteness theorems},
     journal = {Compositio Mathematica},
     pages = {113--126},
     year = {1990},
     publisher = {Kluwer Academic Publishers},
     volume = {75},
     number = {1},
     mrnumber = {1059957},
     zbl = {0743.14006},
     language = {en},
     url = {https://www.numdam.org/item/CM_1990__75_1_113_0/}
}
TY  - JOUR
AU  - Peters, C. A. M.
TI  - Rigidity for variations of Hodge structure and Arakelov-type finiteness theorems
JO  - Compositio Mathematica
PY  - 1990
SP  - 113
EP  - 126
VL  - 75
IS  - 1
PB  - Kluwer Academic Publishers
UR  - https://www.numdam.org/item/CM_1990__75_1_113_0/
LA  - en
ID  - CM_1990__75_1_113_0
ER  - 
%0 Journal Article
%A Peters, C. A. M.
%T Rigidity for variations of Hodge structure and Arakelov-type finiteness theorems
%J Compositio Mathematica
%D 1990
%P 113-126
%V 75
%N 1
%I Kluwer Academic Publishers
%U https://www.numdam.org/item/CM_1990__75_1_113_0/
%G en
%F CM_1990__75_1_113_0
Peters, C. A. M. Rigidity for variations of Hodge structure and Arakelov-type finiteness theorems. Compositio Mathematica, Tome 75 (1990) no. 1, pp. 113-126. https://www.numdam.org/item/CM_1990__75_1_113_0/

[A] Arakelov, A., Families of algebraic curves with fixed degeneracies, Izv. Ak. Nauk. S.S.SR., ser. Math. 35 (1971) [Math. U.S.S.R. Izv. 5, 1277-1302 (1971)]. | Zbl | MR

[C-D] Carlson, J., Donagi, R., Hypersurface variations are maximal I. Inv. Math. 89 (1987) 371-374. | Zbl | MR

[C-T] Carlson, J., Toledo, D., Integral manifolds, harmonic mappings, and the abelian subspace problem, in: Springer Lect. Notes in Math. 1352, 1989. | Zbl | MR

[D1] Deligne, P., Travaux de Griffiths. Sem. Bourbaki Exp. 1969 /1970 Exp. 376. | Zbl | Numdam

[D2] Deligne, P., Un théorème de finitude pour la monodromie, in "Discrete groups in geometry and analysis" Progr. in Math. 67, Birkh. 1987, p. 1-19. | Zbl | MR

[F] Faltings, G., Arakelov's Theorem for abelian varieties, Inv. Math. 7, 3, 337-348 (1983). | Zbl | MR

[F1] Flenner, H., The infinitesimal Torelli problem for zero sets of sections of vector bundles, Math. Zeitschr. 193, 307-322. | Zbl | MR

[G] Griffiths, P., Periods of integrals on algebraic manifolds III Publ. Math. I.H.E.S. 38, 125-180 (1970). | Zbl | MR | Numdam

[G, S] Griffiths, P., Schmid, W., Locally homogeneous complex manifolds. Acta Math. 123, 253-302 (1969). | Zbl | MR

[N] Namba, M., On maximal families of compact complex submanifolds of complex manifolds, Tohoku Math. J. 24, 581-609 (1972). | Zbl | MR

[P1] Peters, C., A criterion for flatness of Hodge bundles and geometric applications, Math. Ann. 268, 1-19 (1984). | Zbl | MR

[P2] Peters, C., On Arakelov's finiteness theorem for higher dimensional manifolds, Rend. Sem. Mat. Univ. e Polit. Torino, Convegno su Algebraic Varieties of small codimension, 43-50, 1986. | Zbl | MR

[P-S] Peters, C., Steenbrink, J., Infinitesimal variations of Hodge structure and the generic Torelli problem for projective hypersurfaces. Progress in Math. # 30 Birkh. Verl., Boston 1983, 399-463. | Zbl | MR

[S] Schmid, W., Variation of Hodge structure: the singularities of the period mapping, Inv. Math. 22, 211-319 (1974). | Zbl | MR

[Si] Simpson, C., Arakelov's Theorem for Hodge structures, preprint 1985/86.

[Su] Sunada, T., Holomorphic mappings into a compact quotient of symmetric bounded domain, Nag. Math. J. 64, 159-175 (1976). | Zbl | MR