## Toric Variety

Let , , ..., be distinct primitive elements of a 2-D Lattice such that for , ..., . Each collection then forms a set of rays of a unique complete fan in , and therefore determines a 2-D toric variety .

References

Danilov, V. I. The Geometry of Toric Varieties.'' Russ. Math. Surv. 33, 97-154, 1978.

Fulton, W. Introduction to Toric Varieties. Princeton, NJ: Princeton University Press, 1993.

Morelli, R. Pick's Theorem and the Todd Class of a Toric Variety.'' Adv. Math. 100, 183-231, 1993.

Oda, T. Convex Bodies and Algebraic Geometry. New York: Springer-Verlag, 1987.

Pommersheim, J. E. Toric Varieties, Lattice Points, and Dedekind Sums.'' Math. Ann. 295, 1-24, 1993.