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Generically split projective homogeneous varieties. II

Published online by Cambridge University Press:  07 February 2012

Victor Petrov  and
Nikita Semenov
Victor Petrov
Affiliation:
Johannes Gutenberg-Universität Mainz, Institut für Mathematik, Staudingerweg 9, D-55099 Mainz, Germanyvictorapetrov@googlemail.com
Nikita Semenov
Affiliation:
Johannes Gutenberg-Universität Mainz, Institut für Mathematik, Staudingerweg 9, D-55099 Mainz, Germanysemenov@uni-mainz.de
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Abstract

This article gives a complete classification of generically split projective homogeneous varieties. This project was begun in our previous article [PS10], but here we remove all restrictions on the characteristic of the base field, give a new uniform proof that works in all cases and in particular includes the case PGO2n+ which was missing in [PS10].

Keywords

linear algebraic groupsprojective homogeneous varietiesJ-invariant
Type
Research Article
Information
Journal of K-Theory , Volume 10 , Issue 1 , August 2012 , pp. 1 - 8
Copyright
Copyright © ISOPP 2012

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References

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