Book Review
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Book Information:
Author:
David Eisenbud
Title:
Commutative algebra with a view toward algebraic geometry
Additional book information:
Graduate Texts in Math., vol. 150, Springer-Verlag,
Berlin and New York,
1995,
xvi+785 pp.,
ISBN 0-387-94268-8,
$69.50$
M. F. Atiyah and I. G. Macdonald, Introduction to commutative algebra, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1969. MR 0242802
Phillip Griffiths and Joseph Harris, Principles of algebraic geometry, Pure and Applied Mathematics, Wiley-Interscience [John Wiley & Sons], New York, 1978. MR 507725
L. Gruson, R. Lazarsfeld, and C. Peskine, On a theorem of Castelnuovo, and the equations defining space curves, Invent. Math. 72 (1983), no. 3, 491–506. MR 704401, DOI 10.1007/BF01398398
Phillip A. Griffiths, On the periods of certain rational integrals. I, II, Ann. of Math. (2) 90 (1969), 460-495; ibid. (2) 90 (1969), 496–541. MR 0260733, DOI 10.2307/1970746
Robin Hartshorne, Algebraic geometry, Graduate Texts in Mathematics, No. 52, Springer-Verlag, New York-Heidelberg, 1977. MR 0463157
Morgan Ward, Ring homomorphisms which are also lattice homomorphisms, Amer. J. Math. 61 (1939), 783–787. MR 10, DOI 10.2307/2371336
George Kempf, On the geometry of a theorem of Riemann, Ann. of Math. (2) 98 (1973), 178–185. MR 349687, DOI 10.2307/1970910
Steven L. Kleiman and Dan Laksov, On the existence of special divisors, Amer. J. Math. 94 (1972), 431–436. MR 323792, DOI 10.2307/2374630
Hideyuki Matsumura, Commutative ring theory, Cambridge Studies in Advanced Mathematics, vol. 8, Cambridge University Press, Cambridge, 1986. Translated from the Japanese by M. Reid. MR 879273
Masayoshi Nagata, Local rings, Interscience Tracts in Pure and Applied Mathematics, No. 13, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1962. MR 0155856
Tadasi Nakayama, On Frobeniusean algebras. I, Ann. of Math. (2) 40 (1939), 611–633. MR 16, DOI 10.2307/1968946
L. Tolstoy, How much land does a man need?, Short Stories, vol. 2, Modern Library, New York, 1965, pp. 183–199.
Oscar Zariski and Pierre Samuel, Commutative algebra. Vol. 1, Graduate Texts in Mathematics, No. 28, Springer-Verlag, New York-Heidelberg-Berlin, 1975. With the cooperation of I. S. Cohen; Corrected reprinting of the 1958 edition. MR 0384768
- M. Atiyah and I. Macdonald, Introduction to commutative algebra, Addison-Wesley, Reading, MA, 1969.
- P. Griffiths and J. Harris, Principles of algebraic geometry, Wiley, New York, 1978.
- L. Gruson, R. Lazarsfeld, and C. Peskine, On a theorem of Castelnuovo, and the equations defining space curves, Invent. Math. 72 (1983), 491–506.
- P. Griffiths, On the periods of certain rational integrals: I and II, Ann. Math. 90 (1969), 460–495, 498–541.
- R. Hartshorne, Algebraic geometry, Springer-Verlag, New York, 1977.
- W. Hodge and D. Pedoe, Methods of algebraic geometry, Cambridge Univ. Press, Cambridge, 1947.
- G. Kempf, On the geometry of a theorem of Riemann, Ann. of Math. 98 (1973), 178–185.
- S. Kleiman and D. Laksov, On the existence of special divisors, Amer. J. Math. 94 (1972), 431–436.
- H. Matsumura, Commutative ring theory, Cambridge Univ. Press, Cambridge, 1986.
- M. Nagata, Local rings, Wiley, New York, 1962.
- J.-P. Serre, Faisceaux algébriques cohérents, Ann. Math. 61 (1955), 197–278.
- L. Tolstoy, How much land does a man need?, Short Stories, vol. 2, Modern Library, New York, 1965, pp. 183–199.
- O. Zariski and P. Samuel, Commutative algebra, Vol. I, Springer-Verlag, New York, 1975. 833e
Review Information:
Reviewer:
Mark Green
Affiliation:
University of California at Los Angeles
Email:
mlg@math.ucla.edu
Journal:
Bull. Amer. Math. Soc.
33 (1996), 367-370
DOI:
https://doi.org/10.1090/S0273-0979-96-00662-3
Review copyright:
© Copyright 1996
American Mathematical Society
