Equivariant Chow Ring and Chern Classes of Wonderful Symmetric Varieties of Minimal Rank

摘要

We describe the equivariant Chow ring of the wonderful compactification X of a symmetric space of minimal rank, via restriction to the associated toric variety Y. Also, we show that the restrictions to Y of the tangent bundle T X and its logarithmic analogue S X decompose into a direct sum of line bundles. This yields closed formulas for the equivariant Chern classes of T X and S X , and, in turn, for the Chern classes of reductive groups considered by Kiritchenko.