On the Complexity of Reductive Group Actions over Algebraically Nonclosed Field and Strong Stability of the Actions on Flag Varieties

V. S. Zhgoon; F. Knop

doi:10.1134/S1064562419020054

On the Complexity of Reductive Group Actions over Algebraically Nonclosed Field and Strong Stability of the Actions on Flag Varieties

Authors: Zhgoon V.S.¹^,2, Knop F.³
Affiliations:
1. Scientific Research Institute for System Analysis, Russian Academy of Sciences
2. National Research University Higher School of Economics
3. Friedrich-Alexander Universitat Erlangen-Nurnberg
Issue: Vol 99, No 2 (2019)
Pages: 132-136
Section: Mathematics
URL: https://journal-vniispk.ru/1064-5624/article/view/225640
DOI: https://doi.org/10.1134/S1064562419020054
ID: 225640

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Abstract

We prove new results that generalize Vinberg’s complexity theorem for the action of reductive group on an algebraic variety over an algebraically nonclosed field. We provide new results on strong k-stability for actions on flag varieties are given.

About the authors

V. S. Zhgoon

Scientific Research Institute for System Analysis,
Russian Academy of Sciences; National Research University Higher School of Economics

Author for correspondence.
Email: zhgoon@mail.ru
Russian Federation, Moscow, 117218; Moscow, 101000

F. Knop

Friedrich-Alexander Universitat Erlangen-Nurnberg

Email: zhgoon@mail.ru
Germany, Erlangen and Nuremberg

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