@article{10_1090_S0894_0347_1988_0924704_X,
author = {Mori, Shigefumi},
title = {Flip theorem and the existence of minimal models for 3-folds},
journal = {Journal of the American Mathematical Society},
pages = {117--253},
year = {1988},
volume = {01},
number = {1},
doi = {10.1090/S0894-0347-1988-0924704-X},
url = {http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-1988-0924704-X/}
}
TY - JOUR AU - Mori, Shigefumi TI - Flip theorem and the existence of minimal models for 3-folds JO - Journal of the American Mathematical Society PY - 1988 SP - 117 EP - 253 VL - 01 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-1988-0924704-X/ DO - 10.1090/S0894-0347-1988-0924704-X ID - 10_1090_S0894_0347_1988_0924704_X ER -
%0 Journal Article %A Mori, Shigefumi %T Flip theorem and the existence of minimal models for 3-folds %J Journal of the American Mathematical Society %D 1988 %P 117-253 %V 01 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-1988-0924704-X/ %R 10.1090/S0894-0347-1988-0924704-X %F 10_1090_S0894_0347_1988_0924704_X
Mori, Shigefumi. Flip theorem and the existence of minimal models for 3-folds. Journal of the American Mathematical Society, Tome 01 (1988) no. 1, pp. 117-253. doi: 10.1090/S0894-0347-1988-0924704-X
[1] On the solutions of analytic equations Invent. Math. 1968 277 291
[2] Algebraic approximation of structures over complete local rings Inst. Hautes Études Sci. Publ. Math. 1969 23 58
[3] Sur l’anneau canonique de certaines variétés de dimension 3 Invent. Math. 1983 157 164
[4] Sur le cone des 1-cycles effectifs en dimension 3 Math. Ann. 1985 257 265
[5] , Zur Berechnung der Divisorenklassengruppen kompletter lokaler Ringe Nova Acta Leopoldina (N.F.) 1981 7 63
[6] Singularités rationnelles et déformations Invent. Math. 1978 139 147
[7] Rationalité des singularités canoniques Invent. Math. 1981 1 6
[8] Rationale quasihomogene Singularitäten Arch. Math. (Basel) 1981 35 44
[9] Some remarks on minimal models. I Compositio Math. 1980 301 313
[10] Zariski decomposition and canonical rings of elliptic threefolds J. Math. Soc. Japan 1986 19 37
[11] Topologie algébrique et théorie des faisceaux 1958
[12] On Levi’s problem and the imbedding of real-analytic manifolds Ann. of Math. (2) 1958 460 472
[13] , Verschwindungssätze für analytische Kohomologiegruppen auf komplexen Räumen Invent. Math. 1970 263 292
[14] Minimal models of rational surfaces over arbitrary fields Izv. Akad. Nauk SSSR Ser. Mat. 1979
[15] On the finiteness of generators of a pluricanonical ring for a 3-fold of general type Amer. J. Math. 1984 1503 1512
[16] , , Introduction to the minimal model problem 1987 283 360
[17] Toward a numerical theory of ampleness Ann. of Math. (2) 1966 293 344
[18] Higher direct images of dualizing sheaves. I Ann. of Math. (2) 1986 11 42
[19] Flops Nagoya Math. J. 1989 15 36
[20] Degenerations of 𝐾3 surfaces and Enriques surfaces Uspehi Mat. Nauk 1977 167 168
[21] Rational surfaces over perfect fields Inst. Hautes Études Sci. Publ. Math. 1966 55 113
[22] Projective degenerations of surfaces according to S. Tsunoda 1987 415 447
[23] Deformations of a morphism along a foliation and applications 1987 245 268
[24] The Chern classes and Kodaira dimension of a minimal variety 1987 449 476
[25] , A numerical criterion for uniruledness Ann. of Math. (2) 1986 65 69
[26] Projective manifolds with ample tangent bundles Ann. of Math. (2) 1979 593 606
[27] Threefolds whose canonical bundles are not numerically effective Ann. of Math. (2) 1982 133 176
[28] On 3-dimensional terminal singularities Nagoya Math. J. 1985 43 66
[29] Classification of higher-dimensional varieties 1987 269 331
[30] Semistable degenerations of Enriques’ and hyperelliptic surfaces Duke Math. J. 1981 197 249
[31] A remark on: “On the plurigenera of minimal algebraic 3-folds with 𝐾\raise3.25pt∼≈\phantom{≈}0” [Math. Ann. 275 (1986), no. 4, 539–546 Math. Ann. 1986 547 553
[32] , Terminal quotient singularities in dimensions three and four Proc. Amer. Math. Soc. 1984 15 20
[33] Invariance of the plurigenera of algebraic varieties under minimal model conjectures Topology 1986 237 251
[34] , Degeneration of surfaces with trivial canonical bundle Ann. of Math. (2) 1981 45 66
[35] Minimal models of canonical 3-folds 1983 131 180
[36] Decomposition of toric morphisms 1983 395 418
[37] Tendencious survey of 3-folds 1987 333 344
[38] A nonvanishing theorem Izv. Akad. Nauk SSSR Ser. Mat. 1985 635 651
[39] Degenerations of surfaces 1987 755 764
[40] Equisingular deformations of normal surface singularities. I Ann. of Math. (2) 1976 325 356
[41] Towards birational classification of algebraic varieties Bull. London Math. Soc. 1987 1 48
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