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Toric variety is embedding of algebraic tori.

2 votes

Clarification on the definition of a quotient singularity

You might find Theorem 11.4.8 in Cox-Little-Schenck relevant: the fan which you've called $\Delta$ is simplicial iff the associated toric variety $X_\Delta$, in your notation, has (at worst) abelian f …
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4 votes
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Formula for bound on number of smooth projective toric Fano varieties of dimension n

In dimension 1, the only smooth projective toric Fano variety is $\mathbb{P}^1$. In dimension $2$, there are 5: $\mathbb{P}^1\times \mathbb{P}^1$, and then successive blow-ups of $\mathbb{P}^2$ at up …
locally trivial's user avatar