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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 …
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 …
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 …
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 …