关于正特征格的有理同调维数的注记
A note on the rational homological dimension of lattices in positive characteristic
摘要:
通过$\ell^2$ -同调证明了在全局函数域上的单连通Chevalley群的乘积格的有理同调维数等于有理上同调维数和相应的Bruhat-Tits建筑的维数.
英文摘要:
We show via $\ell^2$-homology that the rational homological dimension of a lattice in a product of simple simply connected Chevalley groups over global function fields is equal to the rational cohomological dimension and to the dimension of the associated Bruhat--Tits building.
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