Classification des variétés de dimension 3 et plus

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1. [0] M. Noether - Mentre le curve algebriche sono create da Dio, le superficie invece sono opera del Demonio, Cité par F. Enriques, Superficie Algebriche, 1949, 464. 
2. [1] S. Iitaka - On D-dimensions of algebraic varieties, J. Math. Soc. Japan23(1971). Zbl0212.53802MR285531
3. [2] S. Iitaka - Genera and classification of algebraic varieties I (en japonais), Sugaku24(1972), 14-27. MR569689
4. [3] K. Ueno - Classification Theory of Algebraic Varieties and Compact Complex Spaces, Springer Lecture Notes620. Oeuvre de référence. Démonstration des théorèmes 5 et 6. Zbl0299.14007MR506253
5. [4] K. Ueno - Kodaira dimension of certain fibre spaces, Complex Analysis and Algebraic Geometry, 279-292, Iwanami (1977). Première démonstration de C2,1 sans utiliser la classification des surfaces. Zbl0353.14014MR447241
6. [5] E. Viehweg - Canonical divisors and the additivity of the Kodaira dimension for morphisms of relative dimension one, Comp. Math.35(1977), 197-233. Démonstration de C+n,n-1 . Zbl0357.14014MR569690
7. [6] T. Fujita - On Kähler fibre spaces over curves, J. Math. Soc. Japan30(1978), 779-794. Zbl0393.14006MR513085
8. [7] T. Fujita - The sheaf of relative canonical forms of a Kähler fibre space over a curve, Proc. Japan Acad.54(1978), 183-184. Zbl0412.32029MR510945
9. [8] K. Ueno - Classification of algebraic varieties II - Algebraic threefolds of parabolic type -, Int. Symp. on Alg. Geom. Kyoto (1977), 693-708. Zbl0407.14011MR578882
10. [9] K. Ueno - On algebraic fibre spaces of abelian varieties, Math. Ann.237(1978), 1-22. Zbl0368.14013MR506652
11. [10] Y. Kawamata, E. Viehweg - On a characterization of an abelian variety in the classification theory of algebraic varieties, Comp. Math.41(1980), 355-359. Zbl0417.14033MR589087
12. [11] E. Viehweg - Klassifikationstheorie algebraischer Varietäten der Dimension drei, Comp. Math.41(1980), 361-400. Zbl0414.14017MR589088
13. [12] K. Ueno - Birational geometry of algebraic threefolds, Géométrie algébrique, Angers (1979), 311-323. Zbl0493.14019MR605349
14. [13] Y. Kawamata - Characterization of abelian varieties, Manuscrit. Démonstration des théorèmes 2 et 17. Démonstration de Cnm lorsque 
15. [14] Y. Kawamata - Kodaira dimension of algebraic fibre spaces over curves, Manuscrit 2ème version. 
16. [15] E. Viehweg - Die Additivität der Kodaira Dimension für projektive Faserraüme über Varietäten des allgemeinen Typs, Manuscrit. A paraître dans Journal für die reine und ungewandte Mathematik. Zbl0466.14009
17. [16] K. Ueno - On three-dimensional compact complex manifolds with non-positive Kodaira dimension, Manuscrit. 
18. [17] S.Ju. Arakelov - Families of algebraic curves with fixed degeneracies, Izv. Akad. Nauk. SSSR, Ser. Math.35(1971) - Math. USSR Izv.5(1971), 1277-1302. Zbl0248.14004MR321933
19. [18] M.F. Atiyah - Vector bundles over an elliptic curve, Proc. London Math. Soc. (3), 7(1957), 414-452. Zbl0084.17305MR131423
20. [19] S. Bloch and D. Gieseker - The positivity of the Chern classes of an ample vector bundle, Inventiones Math.12(1971), 112-117. Zbl0212.53502MR297773
21. [20] P. Deligne - Théorie de Hodge II , Publ. Math. I.H.E.S.40(1971), 5-58. Zbl0219.14007MR498551
22. [21] D. Gieseker - Global moduli for surfaces of general type, Inventiones Math.43(1977), 233-282. Zbl0389.14006MR498596
23. [22] P. Griffiths - Period of integrals on algebraic manifolds III, Publ. Math. I.H.E.S.38(1970), 125-180. Zbl0212.53503MR282990
24. [23] D. Lieberman and E. Sernesi - Semicontinuity of L-dimension, Math. Ann.225(1977), 77-88. Zbl0341.14003MR427688
25. [24] D. Mumford - Geometric Invariant Theory, Springer1965. Zbl0147.39304MR214602
26. [25] D. Mumford - Stability of projective varieties, L'Enseignement Math.23(1977). Zbl0363.14003MR450273
27. [26] H. Popp - On moduli of algebraic varieties III. Fine moduli spaces, Comp. Math.31(1975), 237-258. Zbl0351.14005MR414552
28. [27] M. Raynaud - Flat modules in algebraic geometry, Comp. Math.24(1972), 11-13. Zbl0244.14001MR302645
29. [28] F. Sakai - Kodaira dimension of complements of divisors, Complex Analysis and Algebraic Geometry, 1977, Iwanami, 239-257. Zbl0375.14009MR590433
30. [29] W. Schmid - Variation of Hodge structure : The singularities of the period mapping, Inventiones Math.22(1973), 211-319. Zbl0278.14003MR382272
31. [30] E. Viehweg - Rational singularities of higher dimensional schemes, Proc. of the A.M.S.63(1977), 6-8. Zbl0352.14003MR432637

1. Frédéric Campana, Orbifolds, special varieties and classification theory