Book Review
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Book Information:
Authors:
G. Cornell,
J. H. Silverman and
G. Stevens
Title:
Modular forms and Fermat's Last Theorem
Additional book information:
Springer-Verlag,
New York,
1997,
xix + 582 pp.,
ISBN 0-387-94609-8,
$49.95$
[1] B. Conrad, F. Diamond and R. Taylor, Modularity of certain potentially crystalline Galois representations, to appear in Journal of the American Mathematical Society 12 (2) (1999).
Gary Cornell and Joseph H. Silverman (eds.), Arithmetic geometry, Springer-Verlag, New York, 1986. Papers from the conference held at the University of Connecticut, Storrs, Connecticut, July 30–August 10, 1984. MR 861969, DOI 10.1007/978-1-4613-8655-1
P. Deligne and M. Rapoport, Les schémas de modules de courbes elliptiques, Modular functions of one variable, II (Proc. Internat. Summer School, Univ. Antwerp, Antwerp, 1972) Lecture Notes in Math., Vol. 349, Springer, Berlin, 1973, pp. 143–316 (French). MR 0337993
H. Jacquet and R. P. Langlands, Automorphic forms on $\textrm {GL}(2)$, Lecture Notes in Mathematics, Vol. 114, Springer-Verlag, Berlin-New York, 1970. MR 0401654
Nicholas M. Katz and Barry Mazur, Arithmetic moduli of elliptic curves, Annals of Mathematics Studies, vol. 108, Princeton University Press, Princeton, NJ, 1985. MR 772569, DOI 10.1515/9781400881710
Richard Taylor and Andrew Wiles, Ring-theoretic properties of certain Hecke algebras, Ann. of Math. (2) 141 (1995), no. 3, 553–572. MR 1333036, DOI 10.2307/2118560
Andrew Wiles, Modular elliptic curves and Fermat’s last theorem, Ann. of Math. (2) 141 (1995), no. 3, 443–551. MR 1333035, DOI 10.2307/2118559
- [1]
- B. Conrad, F. Diamond and R. Taylor, Modularity of certain potentially crystalline Galois representations, to appear in Journal of the American Mathematical Society 12 (2) (1999).
- [2]
- G. Cornell and J. H. Silverman, Arithmetic geometry, Springer Verlag, 1986. MR 0861969
- [3]
- P. Deligne and M. Rapoport, Les schémas de modules de courbes elliptiques, LNM 349, Springer-Verlag (1973), 143-316. MR 0337993
- [4]
- H. Jacquet and R. Langlands, Automorphic forms on
, LNM 114, Springer-Verlag, 1970. MR 0401654
- [5]
- N. Katz and B. Mazur, Arithmetic moduli of elliptic curves, Annals of Math. Stud. 108, Princeton University (1985). MR 0772569
- [6]
- R. Taylor and A. Wiles, Ring-theoretic properties of certain Hecke algebras, Annals of Math. 141 (1995), 553-572. MR 1333036
- [7]
- A. Wiles, Modular elliptic curves and Fermat's Last Theorem, Annals of Math. 141 (1995), 443-551. MR 1333035
Review Information:
Reviewer:
Kevin Buzzard
Affiliation:
Imperial College of Science, Technology and Medicine
Email:
buzzard@ic.ac.uk
Journal:
Bull. Amer. Math. Soc.
36 (1999), 261-266
DOI:
https://doi.org/10.1090/S0273-0979-99-00778-8
Published electronically:
February 22, 1999
Review copyright:
© Copyright 1999
American Mathematical Society
