Piecewise polynomials, Minkowski weights, and localization on toric varieties
Piecewise polynomials, Minkowski weights, and localization on toric varieties
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分段多项式、Minkowski 权重和环曲面簇的本地化
DOI：
10.2140/ant.2008.2.135
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发表时间：
2007
影响因子：
1.3
通讯作者：
S. Payne
中科院分区：
文献类型：
--
作者：
Eric Katz;S. Payne
我们使用局部化来描述从等变Chow上同调到普通Chow上同调的限制映射的分段多项式函数和Minkowski权重的完全环面品种。我们计算的例子表明，这个地图一般不是满射，它的内核并不总是在度1生成。我们证明了一个本地化的混合体积的格多面体公式，更一般地说，一个博特剩余复曲面向量丛公式。
We use localization to describe the restriction map from equivariant Chow cohomology to ordinary Chow cohomology for complete toric varieties in terms of piecewise polynomial functions and Minkowski weights. We compute examples showing that this map is not surjective in general, and that its kernel is not always generated in degree one. We prove a localization formula for mixed volumes of lattice polytopes and, more generally, a Bott residue formula for toric vector bundles.