@article{ASNSP_1978_4_5_4_683_0, author = {Sommese, Andrew John}, title = {On the rationality of the period mapping}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {683--717}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 5}, number = {4}, year = {1978}, mrnumber = {519890}, zbl = {0396.32004}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1978_4_5_4_683_0/} }
TY - JOUR AU - Sommese, Andrew John TI - On the rationality of the period mapping JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1978 SP - 683 EP - 717 VL - 5 IS - 4 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1978_4_5_4_683_0/ LA - en ID - ASNSP_1978_4_5_4_683_0 ER -
Sommese, Andrew John. On the rationality of the period mapping. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 5 (1978) no. 4, pp. 683-717. http://www.numdam.org/item/ASNSP_1978_4_5_4_683_0/
[1] La convexité holomorphe dans l'espace analytique des cycles d'une variété algébrique, Ann. Scuola Norm. Sup. Pisa, 21 (1967), pp. 31-82. | Numdam | MR | Zbl
- ,[2] Analytic and algebraic dependence of meromorphic functions, Lecture Notes in Mathematics 234, Berlin - Heidelberg - New York, Springer, 1971. | MR | Zbl
- ,[3] Carleman estimates for the Laplace-Beltrami operator on complex manifolds, Publ. Math. 25, I.H.E.S. (1965), pp. 81-130. | Numdam | MR | Zbl
- ,[4] Sopra un Teorema di Kodaira, Ann. Scuola Norm. Sup. Pisa, 15 (1961), pp. 283-309. | Numdam | MR | Zbl
- ,[5] Espace analytique réduit des cycles analytiques complexes compacts d'un espace analytique complexe de dimension finie, Séminaire François Norguet 1974-1975, Lecture Notes in Mathematics 482, Berlin - Heidelberg - New York, Springer, 1975. | MR | Zbl
,[6] Introduction aux groupes arithmétiques, Paris, Hermann, 1969. | MR | Zbl
,[7] Some metric properties of arithmetic quotients of symmetric spaces and an extension theorem, J. Differential Geometry, 6 (1972), pp. 543-560. | MR | Zbl
,[8] Equations différentielles à points singuliers réguliers, Lecture Notes in Mathematics 163, Berlin - Heidelberg - New York, Springer, 1970. | MR | Zbl
,[9] Verschwindungssätze für analytisches Kohomologiegruppen auf komplexen Räumen, Invent. Math., 11 (1970), pp. 263-292. | MR | Zbl
- ,[10] Periods of integrals on algebraic manifolds I, II, Amer. J. Math., 90 (1968), pp. 568-626, 805-865; III, Publ. Math. 38, I.H.E.S. (1970), pp. 125-180.
,[11] Periods of integrals on algebraic manifolds, Bull. Amer. Math. Soc., 75 (1970), pp. 228-296. | MR | Zbl
,[12] Locally homogeneous complex manifolds, Acta Math., 123 (1970), pp. 253-302. | MR | Zbl
- ,[13] Recent developments in Hodge theory: a discussion of techniques and results, Bombay: Proc. Tata Inst. Conf. on Discrete Groups and Moduli, 1973. | Zbl
- ,[14] Variations on a theorem of Abel, Invent. Math., 35 (1976), pp. 321-390. | MR | Zbl
,[15] Limites d'espaces tangents, Séminaire François Norguet, Jan. 1974 - June 1975, Lecture Notes in Mathematics 482, Berlin- Heidelberg - New York, Springer (1975), pp. 251-265. | MR | Zbl
- ,[16] Flattening theorem in complex-analytic geometry, Amer. J. Math., 97 (1976), pp. 503-547. | MR | Zbl
,[17] Bimeromorphic smoothing of a complex-analytic space (Summary), Math. Inst. Warwick University, England, 1971.
,[18] On Kähler varieties of restricted type, Ann. of Math., 60 (1954), pp. 28-48. | MR | Zbl
,[19] The Levi Problem for complex spaces, Math. Ann., 142 (1961), pp. 355-365. | MR | Zbl
,[20] The local Torelli problem, I, Math. Ann., 217 (1975), pp. 1-16. | MR | Zbl
,[21] Holomorphe und meromorphe Abbildungen komplexer Räume, Math. Ann., 133 (1957), pp. 328-370. | MR | Zbl
,[22] Characterizing Moisezon spaces by almost positive coherent sheaves, Math. Z. (1971), pp. 263-284. | MR | Zbl
,[23] Picard variety of an isolated singular point, Rice Univ. Studies, 54 (1968), pp. 63-73. | MR | Zbl
,[24] Variation of Hodge structures: the singularities of the period mapping, Invent. Math., 22 (1973), pp. 211-319. | MR | Zbl
,[25] Géométrie algébrique et géométrie analytique, Ann. Inst. Fourier, Grenoble, 6 (1955), pp. 1-42. | Numdam | MR | Zbl
,[26] Extension of positive line bundles and meromorphic maps, Invent. Math., 15 (1972), pp. 332-347. | MR | Zbl
,[27] Analyticity of sets associated to Lelong numbers and the extension of closed positive currents, Invent. Math., 27 (1974), pp. 53-126. | MR | Zbl
,[28] Algebraic properties of the period mapping, Princeton University Thesis, June 1973.
,[29] Criteria for quasi -projectivity, Math. Ann., 217 (1975), pp. 247-256. | MR | Zbl
,[30] Addendum to « Criteria for quasi-projectivity », Math. Ann., 221 (1976), pp. 95-96. | MR | Zbl
,[31] Sur les théorèmes de de Rham, Comment. Math. Helv., 26 (1952), pp. 119-145. | MR | Zbl
,[32] Tangents to an analytic variety, Ann. of Math., 81 (1965), pp. 496-549. | MR | Zbl
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