On reductive group actions and fixed points

Kim, Minhyong

doi:10.1090/S0002-9939-98-04346-9

On reductive group actions and fixed points
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by Minhyong Kim PDF

Proc. Amer. Math. Soc. 126 (1998), 3397-3400 Request permission

Abstract:

Among analytic actions of reductive groups on projective varieties, we characterize the algebraic ones by the existence of fixed points for one-parameter subgroups. This applies to the problem of lifting the action of a compact Lie group on a projective manifold to a line bundle.

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