@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}, pages = {197--223}, publisher = {Noordhoff International Publishing}, volume = {35}, number = {2}, year = {1977}, mrnumber = {569690}, zbl = {0357.14014}, language = {en}, url = {http://archive.numdam.org/item/CM_1977__35_2_197_0/} }
TY - JOUR AU - Viehweg, Eckart TI - Canonical divisors and the additivity of the Kodaira dimension for morphisms or relative dimension one JO - Compositio Mathematica PY - 1977 SP - 197 EP - 223 VL - 35 IS - 2 PB - Noordhoff International Publishing UR - http://archive.numdam.org/item/CM_1977__35_2_197_0/ LA - en ID - CM_1977__35_2_197_0 ER -
%0 Journal Article %A Viehweg, Eckart %T Canonical divisors and the additivity of the Kodaira dimension for morphisms or relative dimension one %J Compositio Mathematica %D 1977 %P 197-223 %V 35 %N 2 %I Noordhoff International Publishing %U http://archive.numdam.org/item/CM_1977__35_2_197_0/ %G en %F 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) no. 2, pp. 197-223. http://archive.numdam.org/item/CM_1977__35_2_197_0/
[1] Introduction to Grothendieck Duality Theory. Springer Lecture Notes 146. | MR | Zbl
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 | Zbl
:[3] Some numerical criteria for contractibility of curves on algebraic surfaces. Am. J. Math. 84 (1962). | MR | Zbl
:[4] The irreducibility of the space of curves of given genus. I.H.E.S. Publ. Math. 36 (1969) 75-109. | Numdam | MR | Zbl
and :[5] Les schémas de modules de courbes elliptique: Modular Functions of one Variable II. Springer Lecture Notes 349. | MR | Zbl
and :[6] Residues and Duality. Springer Lecture Notes 20. | MR | Zbl
:[7] A Course in Homological Algebra. Springer Graduate Texts in Math. 4. | MR | Zbl
and :[8] Resolution of singularities of an algebraic variety over a field of characteristic zero. Ann. of Math. 79 (1964) 109-326. | MR | Zbl
:[9] Critical points of an algebraic function. Invent. Math. 12 (1971) 210-224. | MR | Zbl
:[10] Commutative Rings. The Univ. of Chicago Press 1974. | Zbl
:[11] On compact analytic surfaces II, III. Ann. of Math. 77 (1963) 563-626 and 78 (1963) 1-40. | MR | Zbl
:[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 | Zbl
:[14] Curves and their Jacobians. Ann Arbor, The Univ. of Michigan Press 1975. | MR | Zbl
:[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 | Zbl
:[16] Studies on degeneration; Class. of Alg. Var. and Comp. Compl. Manif. Springer Lecture Notes 412. | MR | Zbl
:[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 | Zbl
:[18] Modulraeume algebraischer Mannigfaltigkeiten; Class. of Alg. Var. and Comp. Compl. Manif. Springer Lecture Notes 412. | MR | Zbl
:[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 | Zbl
:[21] Classification Theory of Algebraic Varieties and Compact Complex Spaces. Springer Lecture Notes 439. | MR | Zbl
:[22] Classification of algebraic varieties I. Comp. Math. 27 (1973) 277-342. | Numdam | MR | Zbl
:[23] Kodaira dimension for certain fibre spaces; to appear.
:[24] Eléments de Géométrie Algébrique. I.H.E.S. Publ. Math. 4,...,32. | Numdam
and :