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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

Book Review

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Book Information

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


References:

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T. Bridgeland. Flops and derived categories. math.AG/0009053.

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F. Campana. Connexité rationnelle des variétés de Fano. Ann. Sci. École Norm. Sup. 25 (1992), 539-545. MR 93k:14050

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A. Corti and M. Reid, eds. Explicit Birational Geometry of 3-Folds. Cambridge Univ. Press, 2000.

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Y. Kawamata. On the classification of non-complete algebraic surfaces. Lecture Notes in Math. 732 (1979), Springer, 215-232. MR 81c:14021

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J. Kollár, Y. Miyaoka and S. Mori. Rational connectedness and boundedness of Fano manifolds. J. Differential Geom. 36 (1992), 765-779. MR 94g:14021

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Y. Miyaoka. On the Kodaira dimension of minimal threefolds. Math. Ann. 281 (1988), 325-332. MR 89g:14028

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N. Nakayama. Invariance of the plurigenera of algebaic varieties under minimal model conjectures. Topology 25 (1986), 237-251. MR 87g:14034

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S. Tsunoda and M. Miyanishi. The structure of open algebraic surfaces II. Progress in Math. 39 (1983), Birkhäuser Boston, 499-544. MR 86c:14030

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J. W\lodarczyk. Birational cobordisms and factorization of birational maps. J. Algebraic Geom. 9 (2000), 425-449. CMP 2000:11

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J. W\lodarczyk. Toroidal varieties and the weak Factorization Theorem. math.AG/9904076.


Additional Information:

Reviewer(s):
Yujiro Kawamata
Affiliation: University of Tokyo
Email: kawamata@ms.u-tokyo.ac.jp

Review Information:
Journal: Bull. Amer. Math. Soc. 38 (2001), 267-272.

MSC (2000): Primary 14E30
DOI: 10.1090/S0273-0979-01-00910-7
PII: S 0273-0979(01)00910-7
Posted: February 7, 2001
Copyright of article: Copyright 2001, American Mathematical Society


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