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:
Authors:
M. P. Brodman and
R. Y. Sharp
Title:
Local cohomology: An algebraic introduction with geometric applications
Additional book information:
Cambridge University Press,
1998,
xv+416 pp.,
ISBN 0-521-37286-0,
$69.95$
Saunders MacLane and O. F. G. Schilling, Infinite number fields with Noether ideal theories, Amer. J. Math. 61 (1939), 771–782. MR 19, DOI 10.2307/2371335
Saunders MacLane, Steinitz field towers for modular fields, Trans. Amer. Math. Soc. 46 (1939), 23–45. MR 17, DOI 10.1090/S0002-9947-1939-0000017-3
David Eisenbud, Commutative algebra, Graduate Texts in Mathematics, vol. 150, Springer-Verlag, New York, 1995. With a view toward algebraic geometry. MR 1322960, DOI 10.1007/978-1-4612-5350-1
Robin Hartshorne, Local cohomology, Lecture Notes in Mathematics, No. 41, Springer-Verlag, Berlin-New York, 1967. A seminar given by A. Grothendieck, Harvard University, Fall, 1961. MR 0224620
Alexander Grothendieck, Cohomologie locale des faisceaux cohérents et théorèmes de Lefschetz locaux et globaux $(SGA$ $2)$, North-Holland Publishing Co., Amsterdam; Masson & Cie, Editeur, Paris, 1968 (French). Augmenté d’un exposé par Michèle Raynaud; Séminaire de Géométrie Algébrique du Bois-Marie, 1962; Advanced Studies in Pure Mathematics, Vol. 2. MR 0476737
Tadasi Nakayama, On Frobeniusean algebras. I, Ann. of Math. (2) 40 (1939), 611–633. MR 16, DOI 10.2307/1968946
- Auslander, M., Buchsbaum, D.A., Homological dimension in local rings, Trans. Amer. Math. Soc. 85 (1957), 390–405.
- Cartan, H., Eilenberg, S., Homological Algebra, Princeton University Press (1956).
- Eisenbud, D., Commutative Algebra with a View toward Algebraic Geometry, Springer, New York (1995).
- Grothendieck, A., Local Cohomology, Springer LNM 41 (1967).
- Grothendieck, A., Cohomologie Locale des Faisceaux Cohérents et Théorèmes de Lefschetz Locaux et Globaux (SGA2), North-Holland, Amsterdam (1968).
- Serre, J.-P., Faisceaux algébriques cohérents, Annals of Math. 61 (1955), 197–278. *1\baselineskip
Review Information:
Reviewer:
Robin Hartshorne
Affiliation:
University of California, Berkeley
Email:
robin@math.berkeley.edu
Journal:
Bull. Amer. Math. Soc.
36 (1999), 409-411
DOI:
https://doi.org/10.1090/S0273-0979-99-00785-5
Published electronically:
April 23, 1999
Review copyright:
© Copyright 1999
American Mathematical Society
