The constant case of the Grothendieck-Serre conjecture is proved for reductive group schemes over any geometrically regular local algebra over a mixed-characteristic DVR.
Comparaison avec la cohomologie classique: cas d'un pr\'esch\'ema lisse, in Th\'eorie des topos et cohomologie \'etale des sch\'emas (SGA 4)
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Constant case of the Grothendieck-Serre conjecture in mixed characteristic
The constant case of the Grothendieck-Serre conjecture is proved for reductive group schemes over any geometrically regular local algebra over a mixed-characteristic DVR.