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arXiv · 0705.1035

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

Michel Brion·Roy Joshua
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Abstract

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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Michel Brion, Roy Joshua. 2007-05-08. Equivariant Chow ring and Chern classes of wonderful symmetric varieties of minimal rank. https://arxiv.org/abs/0705.1035

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