3 citations · 3 across the 2 of their papers we have counts for
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Grothendieck--Serre for constant reductive group schemes
Ning Guo, Fei Liu
The Grothendieck--Serre conjecture predicts that on a regular local ring there is no nontrivial torsor under a reductive group scheme that becomes trivial over the fraction field.…
Divisors on coherent schemes and homogeneous spaces
Ning Guo
We investigate the positivity and extension of invertible sheaves on group homogeneous spaces over coherent bases. Bypassing the failure of standard limit arguments and the classic…
The Bass--Quillen conjecture for torsors over valuation rings
Ning Guo, Fei Liu
For a valuation ring , a smooth -algebra , and a reductive -group scheme satisfying a certain natural isotropicity condition, we prove that every Nisnevich -tors…
Purity and quasi-split torsors over Prüfer bases
Ning Guo, Fei Liu
We establish an analogue of the Zariski--Nagata purity theorem for finite étale covers on smooth schemes over Prüfer rings by demonstrating Auslander's flatness criterion in this…