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Equivariant Kodaira embedding of CR manifolds with circle action (1603.08872v2)
Published 29 Mar 2016 in math.CV and math.DG
Abstract: We consider a compact CR manifold with a transversal CR locally free circle action endowed with a rigid positive CR line bundle. We prove that a certain weighted Fourier-Szeg\H{o} kernel of the CR sections in the high tensor powers admits a full asymptotic expansion. As a consequence, we establish an equivariant Kodaira embedding theorem.
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