3 citations · 3 across the 2 of their papers we have counts for
3 papers
math.AG2026
The unramified Grothendieck--Serre conjecture
Fei Liu
We prove that a generically trivial torsor under a reductive group scheme over an unramified regular local ring is trivial.
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…
math.AG2023★ 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.…