Some stuff in folder AG/Toric varieties
Book by Fulton
Several chapters in Miller-Sturmfels: Combinatorial commutative algebra. In Comm alg folder.
Toronto talk by Burgos Gil
Morelli: Articles on K-theory and Todd class
For computational toric geometry, see people associated with this conference
Strickland thought on toric top
Toric varieties: Several papers by Cox, including “Recent developments in toric geometry” in Santa Cruz 1995 volume.
[arXiv:0911.3607] The functor of toric varieties associated with Weyl chambers and Losev-Manin moduli spaces from arXiv Front: math.AG by Victor Batyrev, Mark Blume A root system of rank defines an -dimensional smooth projective toric variety associated with its fan of Weyl chambers. We give a simple description of the functor of in terms of the root system and apply this result in the case of root systems of type to give a new proof of the fact that the toric variety is the fine moduli space of stable -pointed chains of projective lines investigated by Losev and Manin.
arXiv:1102.5760 The Geometry of T-Varieties from arXiv Front: math.AG by Klaus Altmann, Nathan Owen Ilten, Lars Petersen, Hendrik Süß, Robert Vollmert This is a survey of the language of polyhedral divisors describing T-varieties. This language is explained in parallel to the well established theory of toric varieties. In addition to basic constructions, subjects touched on include singularities, separatedness and properness, divisors and intersection theory, cohomology, Cox rings, polarizations, and equivariant deformations, among others.
nLab page on Toric varieties