The integral cohomology rings of four-dimensional toric orbifolds

Xin Fu, Tseleung So, Jongbaek Song

Let $X(P,\hat{I}»)$ be a 4-dimensional toric orbifold associated to a polygon $P$ and a characteristic function $\hat{I}»$. Assuming that $X(P,\hat{I}»)$ is locally smooth over a vertex of $P$, we d…