On pluricanonical maps for threefolds of general type

Meng CHEN

doi:10.2969/jmsj/05030615

Meng CHEN

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Keywords: Nonsingular minimal model, pluricanonical map, birationality

JOURNAL FREE ACCESS

1998 Volume 50 Issue 3 Pages 615-621

DOI https://doi.org/10.2969/jmsj/05030615

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Published: 1998 Received: September 17, 1996 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: KEYWORD Details: Right : Nonsingular minimal model, pluricanonical map, birationality

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) Benvemste, X.: Sur les applications pluricanoniques des variétés de type très général en dimension 3, Amer. J. Math. 108 (1986), 433-449.
2) Bombieri, E.: Canonical models of surfaces of general type, Publ. Math. Inst. Hautes Etude. Sci. 42 (1973), 171-219.
3) Chen, M.: An extension of Benveniste-Matsuki's method on 6-canonical maps for threefolds, Comm. in Algebra 22 (1994), 5759-5767.
4) Hironaka, H.: Resolution of singularities of an algebraic variety over a field of characteristic zero, Ann. of Math. 79 (1964), 109-326.
5) Kawamata, Y.: Cone of curves of algebraic varieties, Ann. of Math. 119 (1984), 603-633.
6) Kawamata, Y.: Kodaira dimension of algebraic fiber spaces over curves, Invent. Math. 66 (1982), 57-71.
7) Kollár, J.: Higher direct images of dualizing sheaves I, Ann. of Math. 123 (1986), 11-42.
8) Kollár, J.: Higher direct images of dualizing sheaves II, Ann. of Math. 124 (1986), 171-202.
9) Matsuki, K.: On pluricanonical maps for 3-folds of general type, J. Math. Soc. Japan 38 (1986), 339-359.
10) Miyaoka, Y.: The Chern classes and Kodaira dimension of a minimal variety, In: Algebraic Geometry, Sendai, 1985 (Adv. Stud, in Pure Math. 10, 1987, pp. 449-476).

Right : [1] Benvemste, X.: Sur les applications pluricanoniques des variétés de type très général en dimension 3, Amer. J. Math. 108 (1986), 433-449.
[2] Bombieri, E.: Canonical models of surfaces of general type, Publ. Math. Inst. Hautes Etude. Sci. 42 (1973), 171-219.
[3] Chen, M.: An extension of Benveniste-Matsuki's method on 6-canonical maps for threefolds, Comm. in Algebra 22 (1994), 5759-5767.
[4] Hironaka, H.: Resolution of singularities of an algebraic variety over a field of characteristic zero, Ann. of Math. 79 (1964), 109-326.
[5] Kawamata, Y.: Cone of curves of algebraic varieties, Ann. of Math. 119 (1984), 603-633.
[6] Kawamata, Y.: Kodaira dimension of algebraic fiber spaces over curves, Invent. Math. 66 (1982), 57-71.
[7] Kollár, J.: Higher direct images of dualizing sheaves I, Ann. of Math. 123 (1986), 11-42.
[8] Kollár, J.: Higher direct images of dualizing sheaves II, Ann. of Math. 124 (1986), 171-202.
[9] Matsuki, K.: On pluricanonical maps for 3-folds of general type, J. Math. Soc. Japan 38 (1986), 339-359.
[10] Miyaoka, Y.: The Chern classes and Kodaira dimension of a minimal variety, In: Algebraic Geometry, Sendai, 1985 (Adv. Stud, in Pure Math. 10, 1987, pp. 449-476).

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