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

Zhgoon VS, Knop F (2019)

Publication Type: Journal article

Publication year: 2019

Journal

Doklady Mathematics MAIK Nauka/Interperiodica (МАИК Наука/Интерпериодика)

Book Volume: 99

Pages Range: 132-136

Journal Issue: 2

DOI: 10.1134/S1064562419020054

Abstract

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.

Authors with CRIS profile

Friedrich Knop Lehrstuhl für Mathematik (Algebra und Geometrie)

Involved external institutions

Scientific Research Institute of System Analysis (SRISA/NIISI RAS) / Научно-исследовательский институт системных исследований Российской Академии Наук (НИИСИ РАН) RU Russian Federation (RU)

How to cite

APA:

Zhgoon, V.S., & Knop, F. (2019). On the Complexity of Reductive Group Actions over Algebraically Nonclosed Field and Strong Stability of the Actions on Flag Varieties. Doklady Mathematics, 99(2), 132-136. https://dx.doi.org/10.1134/S1064562419020054

MLA:

Zhgoon, V. S., and Friedrich Knop. "On the Complexity of Reductive Group Actions over Algebraically Nonclosed Field and Strong Stability of the Actions on Flag Varieties." Doklady Mathematics 99.2 (2019): 132-136.

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