Hi,

I would like to understand when a toric variety is connected. Given $\Delta$ a fan (possibly with infinitely many cones) in $\mathbb{R}^n$, $n\geq 2$ denote with $X_{\Delta}$ the associated toric variety. I would like to know if there exists some property $P$ for which a theorem as follows holds:

if $\Delta$ satisfies $P$ then $X_{\Delta}$ is connected.