Book Review
The AMS does not provide abstracts of book reviews.
You may download the entire review from the links below.
Full text of review:
PDF
This review is available free of charge.
Book Information:
Editors:
H. Hauser,
J. Lipman,
F. Oort and
A. Quirós (eds.)
Title:
Alterations and resolution of singularities
Additional book information:
edited by
H. Hauser,
J. Lipman,
F. Oort and
A. Quirós (eds.),
Birkhäuser,
Basel,
2000,
xxi+598 pp.,
ISBN 3-7643-6178-6,
$108.00$
1. G. Belyi, On Galois extensions of a maximal cyclotomic field, Izv. Acad. Nauk SSSR 43, 267-276, (1979). MR 80f:12008
2. E. Bierstone, P. Millman, Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant, Inventiones Math. 128, 207-302, (1997). MR 98e:14010
3. H. Hironaka, Resolution of singularities of an algebraic variety over a field of characteristic zero. I, II, Ann. of Math. (2) 79, 109-203, (1964); ibid. 79, 205-326, (1964). MR 33:7333
4. J. Kollár, Sh. Mori, Birational geometry of algebraic varieties, Cambridge Tracts in Mathematics, 134. Cambridge University Press, Cambridge, (1998). MR 2000b:14018
5. M. Spivakovsky, A solution to Hironaka's polyhedra game, Arithmetic and geometry, Vol. II, 419-432, Progr. Math., 36, Birkhäuser Boston, Boston, MA, (1983). MR 85m:14021
6. O. Zariski, Collected papers, vol. I-IV, The MIT Press, Cambridge, (1972-79). MR 58:21346a; MR 58:21346b; MR 58:21346c; MR 81f:01049
- 1.
- G. Belyi, On Galois extensions of a maximal cyclotomic field, Izv. Acad. Nauk SSSR 43, 267-276, (1979). MR 80f:12008
- 2.
- E. Bierstone, P. Millman, Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant, Inventiones Math. 128, 207-302, (1997). MR 98e:14010
- 3.
- H. Hironaka, Resolution of singularities of an algebraic variety over a field of characteristic zero. I, II, Ann. of Math. (2) 79, 109-203, (1964); ibid. 79, 205-326, (1964). MR 33:7333
- 4.
- J. Kollár, Sh. Mori, Birational geometry of algebraic varieties, Cambridge Tracts in Mathematics, 134. Cambridge University Press, Cambridge, (1998). MR 2000b:14018
- 5.
- M. Spivakovsky, A solution to Hironaka's polyhedra game, Arithmetic and geometry, Vol. II, 419-432, Progr. Math., 36, Birkhäuser Boston, Boston, MA, (1983). MR 85m:14021
- 6.
- O. Zariski, Collected papers, vol. I-IV, The MIT Press, Cambridge, (1972-79). MR 58:21346a; MR 58:21346b; MR 58:21346c; MR 81f:01049
Review Information:
Reviewer:
Fedor Bogomolov
Affiliation:
Courant Institute, NYU
Email:
bogomolo@cims.nyu.edu
Reviewer:
Yuri Tschinkel
Affiliation:
University of Illinois at Chicago
Email:
yuri@math.uic.edu
Journal:
Bull. Amer. Math. Soc.
39 (2002), 95-100
Published electronically:
October 10, 2001
Review copyright:
© Copyright 2001
American Mathematical Society
