Bulletin of the American Mathematical Society

MathSciNet review: 1567819
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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.

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.

V. I. Danilov, The geometry of toric varieties, Uspekhi Mat. Nauk 33 (1978), no. 2(200), 85–134, 247 (Russian). MR 495499

Michel Demazure, Sous-groupes algébriques de rang maximum du groupe de Cremona, Ann. Sci. École Norm. Sup. (4) 3 (1970), 507–588 (French). MR 284446

Friedrich E. P. Hirzebruch, Hilbert modular surfaces, Enseign. Math. (2) 19 (1973), 183–281. MR 393045

Richard P. Stanley, The number of faces of a simplicial convex polytope, Adv. in Math. 35 (1980), no. 3, 236–238. MR 563925, DOI 10.1016/0001-8708(80)90050-X

G. Kempf, Finn Faye Knudsen, D. Mumford, and B. Saint-Donat, Toroidal embeddings. I, Lecture Notes in Mathematics, Vol. 339, Springer-Verlag, Berlin-New York, 1973. MR 0335518

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), 85-134. English translation in Russian Math. Surveys 33 (1978), 97-154. MR 0495499

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.

R. P. Stanley, The number of faces of a simplicial convex polytope, Adv. in Math. 35 (1980), 236-238. MR 563925

5.

G. Kempf and others, Toroidal embeddings. I, Lecture Notes in Math., vol. 339, Springer-Verlag, Berlin and New York, 1973. MR 335518