BOUNDEDNESS PROPERTIES OF AUTOMORPHISM GROUPS OF FORMS OF FLAG VARIETIES
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Abstract We call a flag variety admissible if its automorphism group is the projective general linear group. (This holds in most cases.) Let K be a field of characteristic 0, containing all roots of unity. Let the K-variety X be a form of an admissible flag variety. We prove that X is either ruled, or the automorphism group of X is bounded, meaning that there exists a constant C ∈ ℕ such that if G is a finite subgroup of AutK(X), then the cardinality of G is smaller than C.
2015 ◽
Vol 158
(2)
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pp. 193-209
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2019 ◽
Vol 166
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pp. 59-90
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2012 ◽
Vol 22
(6)
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pp. 1085-1093
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1994 ◽
Vol 37
(1)
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pp. 82-88
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