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

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3 papers · 1 filter

math.AG2025

On the generalized Bass--Quillen conjecture in dimension 2

Anastasia Stavrova

Let $A$ be a regular ring of dimension $\leq 2$ . Let $G$ be a reductive group over $A$ such that its derived group is a split, i.e. a Chevalley--Demazure, semisimple group. We prove…

math.AG2025

Non-Stable $K_{1}$ -Functors of Discrete Valuation Rings Containing a Field

Philippe Gille, Anastasia Stavrova

Let $k$ be a field, and let $G$ be a simply connected semisimple k-group which is isotropic and contains a strictly proper parabolic $k$ -subgroup $P$ . Let $D$ be a discrete valuati…

math.AG2025

On a theorem of Harder

Ivan Panin, Anastasia Stavrova

We prove that for any simply connected isotropic reductive group G over a Dedekind domain D, any Zariski-locally trivial principal G-bundle over D is trivial. The corresponding res…

On the generalized Bass--Quillen conjecture in dimension 2

Non-Stable K1​-Functors of Discrete Valuation Rings Containing a Field

On a theorem of Harder

Non-Stable $K_{1}$ -Functors of Discrete Valuation Rings Containing a Field