Zobrazeno 1 - 10
of 1 096
pro vyhledávání: '"Stavrova, A."'
Autor:
Panin, I., Stavrova, A.
Let D be a DVR of mixed characteristic. Let G be a reductive D-group scheme. Then the Grothendieck-Serre conjecture is true for the D-group scheme G and any geometrically regular local D-algebra R. Also we prove a version of Lindel-Ojanguren-Gabber's
Externí odkaz:
http://arxiv.org/abs/2412.11723
Autor:
Stavrova, Anastasia
Let $G$ be a simply connected Chevalley--Demazure group scheme without $SL_2$-factors. For any unital commutative ring $R$, we denote by $E(R)$ the standard elementary subgroup of $G(R)$, that is, the subgroup generated by the elementary root unipote
Externí odkaz:
http://arxiv.org/abs/2411.17308
Autor:
Panin, Ivan, Stavrova, Anastasia
We prove a relative version of a theorem on torsors on the projective line due to Philippe Gille.
Comment: The regularity assumption on the base has been removed; a mistaken Lemma 1.12 of the previous version has been eradicated. arXiv admin not
Comment: The regularity assumption on the base has been removed; a mistaken Lemma 1.12 of the previous version has been eradicated. arXiv admin not
Externí odkaz:
http://arxiv.org/abs/2305.16627
Autor:
Panin, Ivan, Stavrova, Anastasia
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 reductive group schemes defined over arbitrary semi-local regular dom
Externí odkaz:
http://arxiv.org/abs/2304.09465
Autor:
Stavrova, Anastasia, Stepanov, Alexei
Publikováno v:
In Journal of Algebra 15 October 2024 656:486-515
Publikováno v:
In Journal of Behavioral and Experimental Economics June 2024 110
Autor:
Gille, Philippe, Stavrova, A
We define R-equivalence for group schemes over a semilocal ring and relate this with rational properties. Two main cases are investigated: tori and isotropic semisimple simply connected group schemes where we show in certain cases that R-equivalence
Externí odkaz:
http://arxiv.org/abs/2107.01950
Publikováno v:
Science & Research (2024)
The study addressed perioperative monitoring and interpretation of stress-related markers in gynecological surgery. The study included 48 patients, divided into two groups, undergoing gynecological operations. The first group (n=26) were patients ope
Externí odkaz:
https://doaj.org/article/57fed65bab9840239efe08da71c4fa1d
Autor:
Stavrova, Anastasia
We apply the techniques developed by I. Panin for the proof of the equicharacteristic case of the Serre-Grothendieck conjecture for isotropic reductive groups (I. Panin, A. Stavrova, N. Vavilov, 2015; I. Panin, 2019) to obtain similar injectivity and
Externí odkaz:
http://arxiv.org/abs/1912.05424
Publikováno v:
In Journal of Economic Behavior and Organization August 2023 212:1242-1254