Equivariant Chow ring and Chern classes of wonderful symmetric varieties of minimal rank - Mathematics > Algebraic GeometryReport as inadecuate




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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 toricvariety $Y$. 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 linebundles. 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 consideredby Kiritchenko.



Author: Michel Brion, Roy Joshua

Source: https://arxiv.org/







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