2 papers
math.AG2026
Generically isotropic reductive group schemes are locally isotropic
Roman Fedorov
Let be a semilocal geometrically factorial Noetherian domain of characteristic zero. We show that a reductive -group scheme is isotropic if it is generically isotropic. We d…
math.AG2026
Unramified Grothendieck-Serre for simply-connected group schemes satisfying an isotropy condition via unipotent chains
Roman Fedorov
We prove a case of the Grothendieck-Serre conjecture: let be a Noetherian semilocal flat algebra over a Dedekind domain such that all fibers of are geometrically regular; l…