3 citations · 3 across the 1 of their papers we have counts for
3 papers
math.AG2026★ 3 cited
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.…
math.AG2026
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…
math.AG2025
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…