associated toric variety. This one-to-one equivalence is called the fundamental theorem for toric geometry. The fan associated with a toric variety condenses...

A. Cox in 1995 for toric varieties. Cox–Zucker machine Cox, David A. (1995), "The homogeneous coordinate ring of a toric variety", J. Algebraic Geom...

associated toric fan. This makes toric varieties a particularly attractive test case for many constructions in complex geometry. Examples of toric varieties include...

All the theory above generalizes to arbitrary toric varieties, including the construction of the variety as a quotient and by coordinate charts, as well...

(1993), Introduction to toric varieties, Princeton University Press, ISBN 978-0-691-00049-7, a remark describes a complete toric variety that has no non-trivial...

classes of toric varieties, the Riemann–Roch theorem as well as Fourier analysis have been used for this purpose. If X is the toric variety corresponding...

Toric manifold Toric orbifold Toric section Toric variety Toric lens, a type of optical lens Torić, a village in Bosnia and Herzegovina Toric Robinson (born...

projective algebraic variety defined by a toric ideal or a homogeneous toric ideal is an affine or projective toric variety, possibly non-normal. Let K {\displaystyle...

a toric stack is a stacky generalization of a toric variety. More precisely, a toric stack is obtained by replacing in the construction of a toric variety...

computationally determine when a given toric surface is K-stable. An example of a K-unstable manifold is given by the toric surface F 1 = Bl 0 ⁡ C P 2 {\displaystyle...