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Book Review

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Book Information:

Authors: János Kollár and with the collaboration of C. H. Clemens and A. Corti Shigefumi Mori
Title: Birational geometry of algebraic varieties
Additional book information: Cambridge University Press, 1998, viii + 254 pp., ISBN 0-521-63277-3

References [Enhancements On Off] (What's this?)

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  • 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 93k:14050
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  • 8. Y. Kawamata. Elementary contractions of algebraic 3-folds. Ann. of Math. 119 (1984), 95-110. MR 86c:14013a
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  • 10. Y. Kawamata. The Zariski decomposition of log-canonical divisors. Proc. Symp. Pure Math. 46 (1987), Amer. Math. Soc., 425-433. MR 89b:14052
  • 11. Y. Kawamata. Abundance theorem for minimal threefolds. Invent. Math. 108 (1992), 229-246. MR 93f:14012
  • 12. J. Kollár, Y. Miyaoka and S. Mori. Rational connectedness and boundedness of Fano manifolds. J. Differential Geom. 36 (1992), 765-779. MR 94g:14021
  • 13. Y. Miyaoka. On the Kodaira dimension of minimal threefolds. Math. Ann. 281 (1988), 325-332. MR 89g:14028
  • 14. Y. Miyaoka. Abundance conjecture for 3-folds: case $\nu = 1$. Compositio Math. 68 (1988), 203-220. MR 89m:14023
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  • 18. J. W\lodarczyk. Birational cobordisms and factorization of birational maps. J. Algebraic Geom. 9 (2000), 425-449. CMP 2000:11
  • 19. J. W\lodarczyk. 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
MSC (2000): Primary 14E30
Published electronically: February 7, 2001
Review copyright: © Copyright 2001 American Mathematical Society
American Mathematical Society