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Book Review
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Book Information
Author(s):
Robert Lazarsfeld
Title:
Positivity in algebraic geometry. I-II
Additional book information:
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge,
Springer-Verlag, Berlin,
2004,
(I) xviii+ 387,
3-540-22533-1; (II) xviii+385 pp., ISBN 3-540-22534-X;
US$129.00
(hardcover), US$34.95 (softcover)
References:
-
- [Deb01]
- Olivier Debarre, Higher-dimensional algebraic geometry, Universitext, Springer-Verlag, New York, 2001. MR 1841091 (2002g:14001)
- [GY86]
- L. Zhiyong Gao and S.-T. Yau, The existence of negatively Ricci curved metrics on three-manifolds, Invent. Math. 85 (1986), no. 3, 637-652. MR 848687 (87j:53061)
- [KM98]
- János Kollár and Shigefumi Mori, Birational geometry of algebraic varieties, Cambridge Tracts in Mathematics, vol. 134, Cambridge University Press, Cambridge, 1998. MR 1658959 (2000b:14018)
- [Laz04a]
- Robert Lazarsfeld, Positivity in algebraic geometry. I, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas. 3rd Series. A Series of Modern Surveys in Mathematics], vol. 48, Springer-Verlag, Berlin, 2004. MR 2095471 (2005k:14001a)
- [Laz04b]
- -, Positivity in algebraic geometry. II, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas. 3rd Series. A Series of Modern Surveys in Mathematics], vol. 49, Springer-Verlag, Berlin, 2004. MR 2095472 (2005k:14001b)
- [Mat02]
- Kenji Matsuki, Introduction to the Mori program, Universitext, Springer-Verlag, New York, 2002. MR 1875410 (2002m:14011)
- [Sul04]
- Dennis Sullivan, René Thom's work on geometric homology and bordism, Bull. Amer. Math. Soc. (N.S.) 41 (2004), no. 3, 341-350 (electronic). MR 2058291
Additional Information:
Reviewer(s):
János
Kollár
Affiliation:
Princeton University
Email:
kollar@math.princeton.edu
Review Information:
Journal:
Bull. Amer. Math. Soc.
43
(2006),
279-284.
MSC
(2000):
Primary 14-02, 14C20, 14F05, 14F17
DOI:
10.1090/S0273-0979-06-01087-1
PII:
S 0273-0979(06)01087-1
Posted:
February 16, 2006
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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