Equivariant Chow ring and Chern classes of wonderful symmetric varieties of minimal rank

Details Equivariant Chow ring and Chern classes of wonderful symmetric varieties of minimal rank Equivariant Chow ring and Chern classes of wonderful symmetric varieties of minimal rank

2007-05-08

arxiv.org/abs/0705.1035v1

Mathematics

Algebraic Geometry

LaTeX, 21 pages

Scientific paper

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 formulae for the equivariant Chern classes of $T_X$ and $S_X$, and, in turn, for the Chern classes of reductive groups considered by Kiritchenko.

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