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


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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.

作者简介

V. Zhgoon

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

编辑信件的主要联系方式.
Email: zhgoon@mail.ru
俄罗斯联邦, Moscow, 117218; Moscow, 101000

F. Knop

Friedrich-Alexander Universitat Erlangen-Nurnberg

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

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