|
Book Review
The AMS does not provide abstracts of book reviews.
You may download the entire review from the links below.
Retrieve article in:
PDF DVI PostScript
Book Information
Author(s):
János Kollár
Title:
Rational curves on algebraic varieties
Additional book information:
Springer, Secaucus, NJ,
1996,
viii+320,
$139.95,
3-540-60168-6
References:
-
- [A]
- M. Artin, Deformations of singularities, Tata Inst. lecture notes 54, 1976
- [CR]
- A. Corti and M. Reid (eds.), Explicit birational geometry of 3-folds, CUP 2000, ISBN 0 521 63641 8
- [G]
- A. Grothendieck, Techniques de construction et théorèmes d'existence en géométrie algébrique. IV. Les schémas de Hilbert, Sém. Bourbaki 6 Exp. 221, 249-276, Soc. Math. France, 1995 CMP 98:09
- [Ko]
- János Kollár, The structure of algebraic threefolds: an introduction to Mori's program, Bull. Amer. Math. Soc. (N.S.) 17 (1987) 211-273 MR 88i:14030
- [KMM]
- János Kollár, Yoichi Miyaoka and Shigefumi Mori, Rational connectedness and boundedness of Fano manifolds, J. Diff. Geom. 36 (1992) 765-779 MR 94g:14021
- [Mi]
- Y. Miyaoka, Rational curves on algebraic varieties, in Proc. Internat. Congress of Math (Zürich, 1994), Birkhäuser, Basel, 1995. pp. 680-689MR 97k:14043
- [MM]
- Yoichi Miyaoka and Shigefumi Mori, A numerical criterion for uniruledness, Ann. of Math. 124 (1986) 65-69 MR 87k:14046
- [M1]
- S. Mori, Projective manifolds with ample tangent bundles, Ann. of Math. (2) 110 (1979) 593-606 MR 81j:14010
- [M2]
- S. Mori, Threefolds whose canonical bundles are not numerically effective, Ann. of Math. 116 (1982) 133-176 MR 84e:14032
- [Mu]
- D. Mumford, Lectures on curves on an algebraic surface, Princeton University Press, 1966MR 35:187
- [R]
- M. Reid, Infinitesimal view of extending a hyperplane section - deformation theory and computer algebra, in Algebraic geometry (L'Aquila, 1988), Springer LNM 1417, 1990, pp. 214-286 MR 91h:14018
- [S]
- Edoardo Sernesi, Topics on families of projective schemes, Queen's papers in pure and appl. math 73 (1986), viii+203 pp.MR 88b:14006
Additional Information:
Reviewer(s):
Miles
Reid
Affiliation:
Math Institute, University of Warwick
Email:
miles@maths.warwick.ac.uk
Review Information:
Journal:
Bull. Amer. Math. Soc.
38
(2001),
109-115.
MSC
(1991):
Primary 14-02, 14C05, 14E30, 14J26, 14J45, 14M20, 14C40, 14E35, 14H10, 14J10
DOI:
10.1090/S0273-0979-00-00889-2
PII:
S 0273-0979(00)00889-2
Posted:
October 2, 2000
Copyright of article:
Copyright
2000,
American Mathematical Society
|
Comments: webmaster@ams.org