On the cohomology and the Chow ring of the classifying space of PGL p

On the cohomology and the Chow ring of the classifying space of PGL p
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PGL p分类空间的上同调和Chow环

DOI:
10.1515/crelle.2007.071
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发表时间:
2005
期刊:
--
影响因子:
--
通讯作者:
Angelo Vistoli
Angelo Vistoli
中科院分区:
--
文献类型:
--
作者:
Angelo Vistoli

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研究了复射影线性群PGL p的分类空间中,当p为奇素时的整上同环和Chow环。特别地,我们完整地确定了它们的加性结构,并将它们的乘性结构的确定问题简化为不变理论中的问题。
Abstract We investigate the integral cohomology ring and the Chow ring of the classifying space of the complex projective linear group PGL p , when p is an odd prime. In particular, we determine their additive structures completely, and we reduce the problem of determining their multiplicative structures to a problem in invariant theory.
DOI: --
发表时间: 2008
期刊: Trans.Amer.Math.Soc. 360
影响因子: --
作者:
Kaneda;M.;Naito;S.;Sagaki;D.;野田工;Kameko M. and Yagita N.
通讯作者: Kameko M. and Yagita N.