no. 2
Canonical divisors and the additivity of the Kodaira dimension for morphisms or relative dimension one
Compositio Mathematica, Tome 35 (1977) no. 2, pp. 197-223
corrigé par Correction to “Canonical divisors and the additivity of the Kodaira dimension for morphisms of relative dimension one” 
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     author = {Viehweg, Eckart},
     title = {Canonical divisors and the additivity of the {Kodaira} dimension for morphisms or relative dimension one},
     journal = {Compositio Mathematica},
     pages = {197--223},
     year = {1977},
     publisher = {Noordhoff International Publishing},
     volume = {35},
     number = {2},
     mrnumber = {569690},
     zbl = {0357.14014},
     language = {en},
     url = {https://www.numdam.org/item/CM_1977__35_2_197_0/}
}
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Viehweg, Eckart. Canonical divisors and the additivity of the Kodaira dimension for morphisms or relative dimension one. Compositio Mathematica, Tome 35 (1977) no. 2, pp. 197-223. https://www.numdam.org/item/CM_1977__35_2_197_0/

[1] A. Altman and S. Kleiman: Introduction to Grothendieck Duality Theory. Springer Lecture Notes 146. | Zbl | MR

[2] S. Ju. Arakelov: Families of algebraic curves with fixed degeneracies. Izv. Akad. Nauk. SSSR, Ser. Math. 35 (1971); engl. transl. Math. USSR Izv. 5 (1971) 1277-1302. | Zbl | MR

[3] M. Artin: Some numerical criteria for contractibility of curves on algebraic surfaces. Am. J. Math. 84 (1962). | Zbl | MR

[4] P. Deligne and D. Mumford: The irreducibility of the space of curves of given genus. I.H.E.S. Publ. Math. 36 (1969) 75-109. | Zbl | MR | Numdam

[5] P. Deligne and M. Rapoport: Les schémas de modules de courbes elliptique: Modular Functions of one Variable II. Springer Lecture Notes 349. | Zbl | MR

[6] R. Hartshorne: Residues and Duality. Springer Lecture Notes 20. | Zbl | MR

[7] P.J. Hilton and U. Stammbach: A Course in Homological Algebra. Springer Graduate Texts in Math. 4. | Zbl | MR

[8] H. Hironaka: Resolution of singularities of an algebraic variety over a field of characteristic zero. Ann. of Math. 79 (1964) 109-326. | Zbl | MR

[9] B. Iversen: Critical points of an algebraic function. Invent. Math. 12 (1971) 210-224. | Zbl | MR

[10] I. Kaplansky: Commutative Rings. The Univ. of Chicago Press 1974. | Zbl

[11] K. Kodaira: On compact analytic surfaces II, III. Ann. of Math. 77 (1963) 563-626 and 78 (1963) 1-40. | Zbl | MR

[12] A.L. Mayer: Compactification of the variety of moduli of curves. Seminar on Degeneration of Algebraic Varieties; conducted by P. A. Griffiths; Princeton 1969-1970.

[13] D. Mumford: Geometric Invariant Theory; Ergebnisse der Mathematik und ihrer Grenzgebiete, Bd. 34. Springer Verlag 1965. | Zbl | MR

[14] D. Mumford: Curves and their Jacobians. Ann Arbor, The Univ. of Michigan Press 1975. | Zbl | MR

[15] Y. Namikawa: On the canonical holomorphic map from the moduli space of stable curves to the Igusa monoidal transformation. Nagoya Math. J. 52 (1973) 197-259. | Zbl | MR

[16] Y. Namikawa: Studies on degeneration; Class. of Alg. Var. and Comp. Compl. Manif. Springer Lecture Notes 412. | Zbl | MR

[17] A.N. Paršin: Algebraic curves over function fields I. Izv. Akad. Nauk SSSR, Ser. Math. 32 (1968), engl. transl. Math. USSR Izv. 2 (1968) 1145-1170. | Zbl | MR

[18] H. Popp: Modulraeume algebraischer Mannigfaltigkeiten; Class. of Alg. Var. and Comp. Compl. Manif. Springer Lecture Notes 412. | Zbl | MR

[19] E. Viehweg: Invarianten lokaler Familien von Kurven; to appear in J. reine u. angew. Math.

[20] E. Viehweg: Rational singularities of higher dimensional schemes; to appear in Proceedings of the AMS. | Zbl | MR

[21] K. Ueno: Classification Theory of Algebraic Varieties and Compact Complex Spaces. Springer Lecture Notes 439. | Zbl | MR

[22] K. Ueno: Classification of algebraic varieties I. Comp. Math. 27 (1973) 277-342. | Zbl | MR | Numdam

[23] K. Ueno: Kodaira dimension for certain fibre spaces; to appear.

[24] A. Grothendieck and J. Dieudonné: Eléments de Géométrie Algébrique. I.H.E.S. Publ. Math. 4,...,32. | Numdam