Witt groups of complex cellular varieties
Witt groups of complex cellular varieties
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复杂细胞品种的维特群
DOI：
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发表时间：
2010
影响因子：
0.9
通讯作者：
Marcus Zibrowius
中科院分区：
文献类型：
--
作者：
Marcus Zibrowius
我们证明了光滑复胞腔簇的Grothendieck-Witt群和Witt群可以用它们的拓扑KO-群来标识。作为应用，我们导出了所有不可约埃尔米特对称空间的Witt群的值，包括光滑复二次曲面、旋量簇和辛格拉斯曼空间。
We show that the Grothendieck-Witt and Witt groups of smooth complex cellular varieties can be identified with their topo- logical KO-groups. As an application, we deduce the values of the Witt groups of all irreducible hermitian symmetric spaces, including smooth complex quadrics, spinor varieties and symplectic Grassman- nians.