@article{CM_1977__35_2_197_0, author = {Viehweg, Eckart}, title = {Canonical divisors and the additivity of the Kodaira dimension for morphisms or relative dimension one}, journal = {Compositio Mathematica}, volume = {35}, year = {1977}, pages = {197-223}, mrnumber = {569690}, zbl = {0357.14014}, language = {en}, url = {http://dml.mathdoc.fr/item/CM_1977__35_2_197_0} }
Viehweg, Eckart. Canonical divisors and the additivity of the Kodaira dimension for morphisms or relative dimension one. Compositio Mathematica, Tome 35 (1977) pp. 197-223. http://gdmltest.u-ga.fr/item/CM_1977__35_2_197_0/
[1] Introduction to Grothendieck Duality Theory. Springer Lecture Notes 146. | MR 274461 | Zbl 0215.37201
and :[2] Families of algebraic curves with fixed degeneracies. Izv. Akad. Nauk. SSSR, Ser. Math. 35 (1971); engl. transl. Math. USSR Izv. 5 (1971) 1277-1302. | MR 321933 | Zbl 0248.14004
:[3] Some numerical criteria for contractibility of curves on algebraic surfaces. Am. J. Math. 84 (1962). | MR 146182 | Zbl 0105.14404
:[4] The irreducibility of the space of curves of given genus. I.H.E.S. Publ. Math. 36 (1969) 75-109. | Numdam | MR 262240 | Zbl 0181.48803
and :[5] Les schémas de modules de courbes elliptique: Modular Functions of one Variable II. Springer Lecture Notes 349. | MR 337993 | Zbl 0281.14010
and :[6] Residues and Duality. Springer Lecture Notes 20. | MR 222093 | Zbl 0212.26101
:[7] A Course in Homological Algebra. Springer Graduate Texts in Math. 4. | MR 1438546 | Zbl 0238.18006
and :[8] Resolution of singularities of an algebraic variety over a field of characteristic zero. Ann. of Math. 79 (1964) 109-326. | MR 199184 | Zbl 0122.38603
:[9] Critical points of an algebraic function. Invent. Math. 12 (1971) 210-224. | MR 342512 | Zbl 0223.14003
:[10] Commutative Rings. The Univ. of Chicago Press 1974. | Zbl 0296.13001
:[11] On compact analytic surfaces II, III. Ann. of Math. 77 (1963) 563-626 and 78 (1963) 1-40. | MR 184257 | Zbl 0171.19601
:[12] Compactification of the variety of moduli of curves. Seminar on Degeneration of Algebraic Varieties; conducted by P. A. Griffiths; Princeton 1969-1970.
:[13] Geometric Invariant Theory; Ergebnisse der Mathematik und ihrer Grenzgebiete, Bd. 34. Springer Verlag 1965. | MR 214602 | Zbl 0147.39304
:[14] Curves and their Jacobians. Ann Arbor, The Univ. of Michigan Press 1975. | MR 419430 | Zbl 0316.14010
:[15] On the canonical holomorphic map from the moduli space of stable curves to the Igusa monoidal transformation. Nagoya Math. J. 52 (1973) 197-259. | MR 337981 | Zbl 0271.14014
:[16] Studies on degeneration; Class. of Alg. Var. and Comp. Compl. Manif. Springer Lecture Notes 412. | MR 357401 | Zbl 0298.14006
:[17] Algebraic curves over function fields I. Izv. Akad. Nauk SSSR, Ser. Math. 32 (1968), engl. transl. Math. USSR Izv. 2 (1968) 1145-1170. | MR 257086 | Zbl 0188.53003
:[18] Modulraeume algebraischer Mannigfaltigkeiten; Class. of Alg. Var. and Comp. Compl. Manif. Springer Lecture Notes 412. | MR 360581 | Zbl 0299.14009
:[19] Invarianten lokaler Familien von Kurven; to appear in J. reine u. angew. Math.
:[20] Rational singularities of higher dimensional schemes; to appear in Proceedings of the AMS. | MR 432637 | Zbl 0352.14003
:[21] Classification Theory of Algebraic Varieties and Compact Complex Spaces. Springer Lecture Notes 439. | MR 506253 | Zbl 0299.14007
:[22] Classification of algebraic varieties I. Comp. Math. 27 (1973) 277-342. | Numdam | MR 360582 | Zbl 0284.14015
:[23] Kodaira dimension for certain fibre spaces; to appear.
:[24] Eléments de Géométrie Algébrique. I.H.E.S. Publ. Math. 4,...,32. | Numdam
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