Advanced Search

In this article, we complete the interpretation of groups of classes of invariant divisors on a complex toric variety X of dimension n in terms of suitable (co-) homology groups. In [BBFK], we proved the following result (see Satz 1 below): Let $ClDi{v}_C^{}\left(X\right)$ and $ClDi{v}_W^{}\left(X\right)$ denote the groups of classes of invariant Cartier resp. Weil divisors on X. If X is non degenerate (i.e., not equivariantly isomorphic to the product of a toric variety and a torus of positive dimension), then the natural homomorphisms $ClDi{v}_C^{}\left(X\right)\to H^2\left(X\right)$ and $ClDi{v}_W^{}\left(X\right)\to H_{2n-2}^{cld}\left(X\right)$ are...