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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.


MathSciNet review: 1567138
Full text of review: PDF   This review is available free of charge.
Book Information:

Author: David Mumford
Title: Algebraic geometry I: Complex projective varieties
Additional book information: Grundlehren der Math. Wissenschaften, vol. 221, Springer-Verlag, Berlin, Heidelberg, New York, 1976, x + 186 pp., $14.80.

References [Enhancements On Off] (What's this?)

1.
J. Dieudonné, Cours de géométrie algébrique, Presses Universitaires de France, Collection Sup, Paris, 1974, 2 vols.
  • Phillip Griffiths and Joseph Harris, Principles of algebraic geometry, Pure and Applied Mathematics, Wiley-Interscience [John Wiley & Sons], New York, 1978. MR 507725
  • 3.
    R. Hartshorne, Reviews of [1] and [10], Bull. Amer. Math. Soc. 82 (1976), 455-459.
  • Robin Hartshorne, Algebraic geometry, Graduate Texts in Mathematics, No. 52, Springer-Verlag, New York-Heidelberg, 1977. MR 0463157
  • 6.
    D. Mumford, Introduction to algebraic geometry (preliminary version of first three chapters), Lecture Notes, Harvard Math. Dept. n.d. (1966?).
  • David Mumford, Lectures on curves on an algebraic surface, Annals of Mathematics Studies, No. 59, Princeton University Press, Princeton, N.J., 1966. With a section by G. M. Bergman. MR 0209285
  • David Mumford, Abelian varieties, Tata Institute of Fundamental Research Studies in Mathematics, vol. 5, Published for the Tata Institute of Fundamental Research, Bombay by Oxford University Press, London, 1970. MR 0282985
  • David Mumford, Curves and their Jacobians, University of Michigan Press, Ann Arbor, Mich., 1975. MR 0419430
  • I. R. Shafarevich, Basic algebraic geometry, Die Grundlehren der mathematischen Wissenschaften, Band 213, Springer-Verlag, New York-Heidelberg, 1974. Translated from the Russian by K. A. Hirsch. MR 0366917

  • Review Information:

    Reviewer: Robin Hartshorne
    Journal: Bull. Amer. Math. Soc. 1 (1979), 513-515
    DOI: https://doi.org/10.1090/S0273-0979-1979-14599-3