Bruhat-Tits group schemes over higher dimensional base-II
Abstract
We prove that split reductive BT group schemes over a higher dimensional base are affine. Our method also gives a new construction of higher BT-group schemes more general than parahoric ones. The new ingredients are an extension of J.-K.Yu's construction in yu to higher dimensional bases, N\'eron-Raynaud dilatations of subgroup schemes on divisors, combined with techniques from bt2 and the structure theory developed in bp.
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