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Toric variety is embedding of algebraic tori.

3 votes
1 answer
427 views

Cohen-Macaulay non-normal toric variety

Given a quasi-smooth toric variety $X$ in the sense of Gelfand-Kapranov-Zelevinsky, i.e. a (not necessarily normal) toric variety $X$ whose normalization is a $\mathbb{Q}$-factorial toric variety and …
Joaquín Moraga's user avatar
2 votes
0 answers
116 views

Constructive Resolution of Toric Singularities via Model Theory

Do there exists some language $\mathcal{L}$ of rational polyhedral cones in rational vector spaces and a theory $T$ over $\mathcal{L}$ whose models $\mathcal{M}$ are resolutions of toric singularities …
Joaquín Moraga's user avatar
1 vote

Toric Desingularization Algorithms

The answer of your question may change depending on what you mean with "as few new cones as possible". For instance, you may be interested in minimize the amount of maximal dimensional cones, or minim …
Joaquín Moraga's user avatar
3 votes

Deformation space form the point of view of intersection theory

The Chow group $A_k(X)$ of an arbitrary toric variety $X$ with defining fan $\Delta$ is generated by the classes of the orbits closures $V(\sigma)$ of the cones $\sigma$ of dimension $n-k$ of $\Delta …
Joaquín Moraga's user avatar