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Book Review
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Book Information
Author(s):
Wolmer V. Vasconcelos
Title:
Arithmetic of blowup algebras
Additional book information:
London Math. Soc. Lecture Note Ser., vol. 195 Cambridge Univ. Press,
Cambridge,
1994,
329,
$34.95,
0-521-45484-0
References:
- 1.
- S. Goto, K. Nishida, and K. Watanabe, Non-Cohen-Macaulay symbolic blow-ups for space monomial curves and counterexamples to Cowsik's question, Proc. Amer. Math. Soc. 120 (1994), 383-392. MR 94d:13005
- 2.
- J. Herzog, A. Simis, and W. V. Vasconcelos, Koszul homology and blowing-up rings, Commutative Algebra, Proceedings: Trento 1981 (S. Greco and G. Valla, eds.), Lecture Notes Pure Appl. Math., vol. 84, Marcel Dekker, New York, 1983, pp. 79-169. MR 84k:13015
- 3.
- -, On the arithmetic and homology of algebras of linear type, Trans. Amer. Math. Soc. 283 (1984), 661-683. MR 86a:13015
- 4.
- S. Huckaba and C. Huneke, Powers of ideals having small analytic deviation, Amer. J. Math. 114 (1992), 367-403. MR 93g:13002
- 5.
- -, Rees algebras of ideals having small analytic deviation, Trans. Amer. Math. Soc. 339 (1993), 373-402. MR 93k:13008
- 6.
- C. Huneke, The theory of
 -sequences and powers of ideals, Adv. in Math. 46 (1982), 249-279. MR 84g:13021 - 7.
- -, On the symmetric and Rees algebras of an ideal generated by a
 -sequence, J. Algebra 62 (1980), 268-275. MR 81d:13016 - 8.
- J. Lipman, Cohen-Macaulayness in graded algebras, Math. Res. Lett. 1 (1994), 149-157. MR 95d:13006
- 9.
- A. Micali, Sur les algèbres universelles, Ann. Inst. Fourier 14 (1964), 33-88. MR 31:1275
- 10.
- M. Nagata, On the fourteenth problem of Hilbert, Proceedings of the International Congress of Mathematicians, 1958, Cambridge Univ. Press, London, 1960, pp. 459-462. MR 22:6851
- 11.
- D. G. Northcott and D. Rees, Reductions of ideals in local rings, Proc. Cambridge Philos. Soc. 50 (1954), 145-158. MR 15:596a
- 12.
- D. Rees, On a problem of Zariski, Illinois J. Math. 2 (1958), 145-149. MR 20:2341
- 13.
- P. Roberts, An infinitely generated symbolic blow-up in a power series ring and a new counterexample to Hilbert's Fourteenth Problem, J. Algebra 132 (1990), 461-473. MR 91j:13006
Additional Information:
Reviewer(s):
Bernd
Ulrich
Affiliation:
Michigan State University
Email:
ulrich@math.msu.edu
Review Information:
Journal:
Bull. Amer. Math. Soc.
34
(1997),
177-181.
MSC
(1991):
Primary 13A30;
Secondary 13-02, 13C20, 13C40, 13D02, 13D40, 13F15, 13H10, 13P10
DOI:
10.1090/S0273-0979-97-00701-5
PII:
S 0273-0979(97)00701-5
Copyright of article:
Copyright
1997,
American Mathematical Society
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