Book Review
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1. D. Abramovich, K. Karu, K. Matsuki and J. Wodarczyk. Torification and factorization of birational maps. math.AG/9904135.
2. V. Alexeev. Boundedness and for log surfaces. Internat. J. Math. 5 (1994), 779-810. MR 1298994
3. T. Bridgeland. Flops and derived categories. math.AG/0009053.
4. F. Campana. Connexité rationnelle des variétés de Fano. Ann. Sci. École Norm. Sup. 25 (1992), 539-545. MR 1191735
5. A. Corti and M. Reid, eds. Explicit Birational Geometry of 3-Folds. Cambridge Univ. Press, 2000.
6. P. Francia. Some remarks on minimal models I. Compositio Math. 40 (1980), 301-313. MR 0571052
7. Y. Kawamata. On the classification of non-complete algebraic surfaces. Lecture Notes in Math. 732 (1979), Springer, 215-232. MR 0555700
8. Y. Kawamata. Elementary contractions of algebraic 3-folds. Ann. of Math. 119 (1984), 95-110. MR 0736561
9. Y. Kawamata. Pluricanonical systems on minimal algebraic varieties. Invent. Math. 79 (1985), 567-588. MR 0782236
10. Y. Kawamata. The Zariski decomposition of log-canonical divisors. Proc. Symp. Pure Math. 46 (1987), Amer. Math. Soc., 425-433. MR 0927965
11. Y. Kawamata. Abundance theorem for minimal threefolds. Invent. Math. 108 (1992), 229-246. MR 1161091
12. J. Kollár, Y. Miyaoka and S. Mori. Rational connectedness and boundedness of Fano manifolds. J. Differential Geom. 36 (1992), 765-779. MR 1189503
13. Y. Miyaoka. On the Kodaira dimension of minimal threefolds. Math. Ann. 281 (1988), 325-332. MR 0949837
14. Y. Miyaoka. Abundance conjecture for 3-folds: case . Compositio Math. 68 (1988), 203-220. MR 0966580
15. N. Nakayama. Invariance of the plurigenera of algebaic varieties under minimal model conjectures. Topology 25 (1986), 237-251. MR 0837624
16. H. Takagi. 3-fold log flips according to V. V. Shokurov. math.AG/9803145.
17. S. Tsunoda and M. Miyanishi. The structure of open algebraic surfaces II. Progress in Math. 39 (1983), Birkhäuser Boston, 499-544. MR 0728617
18. J. Wodarczyk. Birational cobordisms and factorization of birational maps. J. Algebraic Geom. 9 (2000), 425-449. CMP 2000:11
19. J. Wodarczyk. Toroidal varieties and the weak Factorization Theorem. math.AG/9904076.
- 1.
- D. Abramovich, K. Karu, K. Matsuki and J. Wodarczyk. Torification and factorization of birational maps. math.AG/9904135.
- 2.
- V. Alexeev. Boundedness and for log surfaces. Internat. J. Math. 5 (1994), 779-810. MR 1298994
- 3.
- T. Bridgeland. Flops and derived categories. math.AG/0009053.
- 4.
- F. Campana. Connexité rationnelle des variétés de Fano. Ann. Sci. École Norm. Sup. 25 (1992), 539-545. MR 1191735
- 5.
- A. Corti and M. Reid, eds. Explicit Birational Geometry of 3-Folds. Cambridge Univ. Press, 2000.
- 6.
- P. Francia. Some remarks on minimal models I. Compositio Math. 40 (1980), 301-313. MR 0571052
- 7.
- Y. Kawamata. On the classification of non-complete algebraic surfaces. Lecture Notes in Math. 732 (1979), Springer, 215-232. MR 0555700
- 8.
- Y. Kawamata. Elementary contractions of algebraic 3-folds. Ann. of Math. 119 (1984), 95-110. MR 0736561
- 9.
- Y. Kawamata. Pluricanonical systems on minimal algebraic varieties. Invent. Math. 79 (1985), 567-588. MR 0782236
- 10.
- Y. Kawamata. The Zariski decomposition of log-canonical divisors. Proc. Symp. Pure Math. 46 (1987), Amer. Math. Soc., 425-433. MR 0927965
- 11.
- Y. Kawamata. Abundance theorem for minimal threefolds. Invent. Math. 108 (1992), 229-246. MR 1161091
- 12.
- J. Kollár, Y. Miyaoka and S. Mori. Rational connectedness and boundedness of Fano manifolds. J. Differential Geom. 36 (1992), 765-779. MR 1189503
- 13.
- Y. Miyaoka. On the Kodaira dimension of minimal threefolds. Math. Ann. 281 (1988), 325-332. MR 0949837
- 14.
- Y. Miyaoka. Abundance conjecture for 3-folds: case . Compositio Math. 68 (1988), 203-220. MR 0966580
- 15.
- N. Nakayama. Invariance of the plurigenera of algebaic varieties under minimal model conjectures. Topology 25 (1986), 237-251. MR 0837624
- 16.
- H. Takagi. 3-fold log flips according to V. V. Shokurov. math.AG/9803145.
- 17.
- S. Tsunoda and M. Miyanishi. The structure of open algebraic surfaces II. Progress in Math. 39 (1983), Birkhäuser Boston, 499-544. MR 0728617
- 18.
- J. Wodarczyk. Birational cobordisms and factorization of birational maps. J. Algebraic Geom. 9 (2000), 425-449. CMP 2000:11
- 19.
- J. Wodarczyk. Toroidal varieties and the weak Factorization Theorem. math.AG/9904076.
Review Information:
Reviewer:
Yujiro Kawamata
Affiliation:
University of Tokyo
Email:
kawamata@ms.u-tokyo.ac.jp
Journal:
Bull. Amer. Math. Soc.
38 (2001), 267-272
Published electronically:
February 7, 2001
Review copyright:
© Copyright 2001
American Mathematical Society