5 problems

Let $M$ be a free abelian group of rank $n$, let $N$ be its dual, and let $\Sigma$ be a smooth, not necessarily complete fan in $N_\bR$. Let $X_\Sigma$ be the associated smooth tor…

Let $M$ be a free abelian group of rank $n$, let $N$ be its dual, and let $\Sigma$ be a smooth fan in $N_\bR:=N\otimes_\bZ\bR$. Let $X_\Sigma$ be the associated smooth toric variet…

Let $M$ be a free abelian group of rank $n$, let $N$ be its dual, and let $Sigma$ be a smooth complete fan in $N_\bR:=N\otimes_\bZ\bR$. Let $X_\Sigma$ be the associated smooth tori…

Let $M$ be a free abelian group of finite rank and let $N$ be its dual. Let $\Sigma$ be a smooth complete fan in $N_{\mathbb{R}}=N\otimes_{\mathbb{Z}}\mathbb{R}$, and let…

Let $\mathbf{\Sigma}=(N,\Sigma,\beta)$ be a stacky fan, let $\mathcal{X}_{\mathbf{\Sigma}}$ be the corresponding toric orbifold, and let $\mathbb{T}=M_{\mathbb{R}}/M$ be the associ…