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Bulletin of the American Mathematical Society

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

Book Review

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Book Information:

Author: Tadao Oda
Title: Convex bodies and algebraic geometry: An introduction to toric varieties
Additional book information: Ergebnisse der Mathematik und ihrer Grenzgebiete 3, Folge, Band 15, Springer-Verlag, Berlin, Heidelberg, New York, 1988, $78.00. ISBN 3-540-17600-4.

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

  • 0. C. Segre, Sulle rigate razionali in uno spazio lineare qualunque, Atti della R. Accademia delle Scienze di Torino 19 (1883-84), 355-372. Collected Works, vol. I, pp. 1-16.
  • 1. V. I. Danilov, The geometry of toric varieties, Uspekhi Mat. Nauk 33 (1978), no. 2(200), 85–134, 247 (Russian). MR 495499
  • 2. M. Demazure, Sous-groupes algébriques de rang maximum du groupe de Cremona, Ann. Sci. École Norm. Sup. (4) 3 (1970), 507-588. MR 284446
  • 3. F. Hirzebruch, Hilbert modular surfaces, Enseign. Math. (2) 21 (1973), 183-282. MR 393045
  • 4. Richard P. Stanley, The number of faces of a simplicial convex polytope, Adv. in Math. 35 (1980), no. 3, 236–238. MR 563925, https://doi.org/10.1016/0001-8708(80)90050-X
  • 5. G. Kempf and others, Toroidal embeddings. I, Lecture Notes in Math., vol. 339, Springer-Verlag, Berlin and New York, 1973. MR 335518

Review Information:

Reviewer: Miles Reid
Journal: Bull. Amer. Math. Soc. 21 (1989), 360-364
DOI: https://doi.org/10.1090/S0273-0979-1989-15864-3
American Mathematical Society