Holmstrom Toric varieties

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 RR of rank nn defines an nn-dimensional smooth projective toric variety X(R)X(R) associated with its fan of Weyl chambers. We give a simple description of the functor of X(R)X(R) in terms of the root system RR and apply this result in the case of root systems of type AA to give a new proof of the fact that the toric variety X(A n)X(A_n) is the fine moduli space L¯ n+1\bar{L}_{n+1} of stable (n+1)(n+1)-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

Created on June 9, 2014 at 21:16:13 by Andreas Holmström