A. Stavrova

activity

20092025

most citedOn Grothendieck--Serre's conjecture concerning principal G-bundles over reductive group schemes:I

13 citations · 34 across the 21 of their papers we have counts for

collaborators

Showing 2023Show all

2 papers · 1 filter

math.AG2023

On the Gille theorem for the relative projective line

Ivan Panin, Anastasia Stavrova

Let $X$ be a Noetherian separated scheme. Let $G$ be a reductive $X$ -group scheme, and let $E$ be a principal $G$ -bundle over $P_{X}^{1}$ . We prove that if the restriction of…

math.AG2023★ 1 cited

On the Gille theorem for the relative projective line: I

Ivan Panin, Anastasia Stavrova

We prove a relative version of a theorem on torsors on the projective line due to Philippe Gille. As a consequence we obtain a ``weak homotopy invariance'' result for torsors under…