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摘要翻译：
通过对相关的toric簇$y$的限制，我们描述了极小秩对称空间的奇妙紧化$x$的等变Chow环。我们还证明了切丛$T_x$及其对数类似物$S_x$对$Y$的限制分解为线丛的直和。这给出了$T_x$和$S_x$的等变Chern类的封闭公式，进而给出了Kiritchenko所考虑的还原群的Chern类的封闭公式。
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英文标题：
《Equivariant Chow ring and Chern classes of wonderful symmetric varieties
of minimal rank》
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作者：
Michel Brion and Roy Joshua
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最新提交年份：
2007
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分类信息：
一级分类：Mathematics 数学
二级分类：Algebraic Geometry 代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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一级分类：Mathematics 数学
二级分类：Algebraic Topology 代数拓扑
分类描述：Homotopy theory, homological algebra, algebraic treatments of manifolds
同伦理论，同调代数，流形的代数处理
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英文摘要：
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 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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PDF链接：
https://arxiv.org/pdf/0705.1035
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