MAGMA Computational Algebra System

Bibliography

BP99

Alexander Barvinok and James E. Pommersheim.
An algorithmic theory of lattice points in polyhedra.
In New perspectives in algebraic combinatorics (Berkeley, CA, 1996--97), volume 38 of Math. Sci. Res. Inst. Publ., pages 91--147. Cambridge Univ. Press, Cambridge, 1999.

Cox95

David A. Cox.
The homogeneous coordinate ring of a toric variety.
J. Algebraic Geom., 4(1):17--50, 1995.

Dan78

V. I. Danilov.
The geometry of toric varieties.
Uspekhi Mat. Nauk, 33(2(200)):85--134, 247, 1978.

DLHTY04

Jes'us A. De Loera, Raymond Hemmecke, Jeremiah Tauzer, and Ruriko Yoshida.
Effective lattice point counting in rational convex polytopes.
J. Symbolic Comput., 38(4):1273--1302, 2004.

Ful93

William Fulton.
Introduction to toric varieties, volume 131 of Annals of Mathematics Studies.
Princeton University Press, Princeton, NJ, 1993.
The William H. Roever Lectures in Geometry.

Oda88

Tadao Oda.
Convex bodies and algebraic geometry, volume 15 of Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)].
Springer-Verlag, Berlin, 1988.
An introduction to the theory of toric varieties, Translated from the Japanese.

Rei83

Miles Reid.
Decomposition of toric morphisms.
In Arithmetic and geometry, Vol. II, volume 36 of Progr. Math., pages 395--418. Birkhäuser Boston, Boston, MA, 1983.