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Maximal indexes of flag varieties for spin groups

Part of: Cycles and subschemes Linear algebraic groups and related topics

Published online by Cambridge University Press:  26 April 2021

Rostislav A. Devyatov ,
Nikita A. Karpenko  and
Alexander S. Merkurjev
Rostislav A. Devyatov
Affiliation:
Max-Planck-Institut für Mathematik, Bonn, Germany; E-mail: deviatov@mccme.ru
Nikita A. Karpenko
Affiliation:
Mathematical and Statistical Sciences, University of Alberta, Edmonton, Canada; E-mail: karpenko@ualberta.ca
Alexander S. Merkurjev
Affiliation:
Department of Mathematics, University of California, Los Angeles, USA; E-mail: merkurev@math.ucla.edu

Abstract

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We establish the sharp upper bounds on the indexes for most of the twisted flag varieties under the spin groups ${\operatorname {\mathrm {Spin}}(n)}$.

MSC classification

Primary: 20G15: Linear algebraic groups over arbitrary fields
Secondary: 14C25: Algebraic cycles
Type
Algebraic and Complex Geometry
Information
Forum of Mathematics, Sigma , Volume 9 , 2021 , e34
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Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright
© The Author(s), 2021. Published by Cambridge University Press

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