@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}, publisher = {Kluwer Academic Publishers}, volume = {75}, number = {1}, year = {1990}, mrnumber = {1059957}, zbl = {0743.14006}, language = {en}, url = {http://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 - http://www.numdam.org/item/CM_1990__75_1_113_0/ LA - en ID - CM_1990__75_1_113_0 ER -
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. http://www.numdam.org/item/CM_1990__75_1_113_0/
[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)]. | MR | Zbl
,[C-D] Hypersurface variations are maximal I. Inv. Math. 89 (1987) 371-374. | MR | Zbl
, ,[C-T] Integral manifolds, harmonic mappings, and the abelian subspace problem, in: Springer Lect. Notes in Math. 1352, 1989. | MR | Zbl
, ,[D1] Travaux de Griffiths. Sem. Bourbaki Exp. 1969 /1970 Exp. 376. | Numdam | Zbl
,[D2] Un théorème de finitude pour la monodromie, in "Discrete groups in geometry and analysis" Progr. in Math. 67, Birkh. 1987, p. 1-19. | MR | Zbl
,[F] Arakelov's Theorem for abelian varieties, Inv. Math. 7, 3, 337-348 (1983). | MR | Zbl
,[F1] The infinitesimal Torelli problem for zero sets of sections of vector bundles, Math. Zeitschr. 193, 307-322. | MR | Zbl
,[G] Periods of integrals on algebraic manifolds III Publ. Math. I.H.E.S. 38, 125-180 (1970). | Numdam | MR | Zbl
,[G, S] Locally homogeneous complex manifolds. Acta Math. 123, 253-302 (1969). | MR | Zbl
, ,[N] On maximal families of compact complex submanifolds of complex manifolds, Tohoku Math. J. 24, 581-609 (1972). | MR | Zbl
,[P1] A criterion for flatness of Hodge bundles and geometric applications, Math. Ann. 268, 1-19 (1984). | MR | Zbl
,[P2] 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. | MR | Zbl
,[P-S] Infinitesimal variations of Hodge structure and the generic Torelli problem for projective hypersurfaces. Progress in Math. # 30 Birkh. Verl., Boston 1983, 399-463. | MR | Zbl
, ,[S] Variation of Hodge structure: the singularities of the period mapping, Inv. Math. 22, 211-319 (1974). | MR | Zbl
,[Si] Arakelov's Theorem for Hodge structures, preprint 1985/86.
,[Su] Holomorphic mappings into a compact quotient of symmetric bounded domain, Nag. Math. J. 64, 159-175 (1976). | MR | Zbl
,