Moment maps and equivariant Szego kernels

Mathematics – Symplectic Geometry

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improvements in results and exposition, references added

Scientific paper

Suppose given an Hamiltonian action of a compact semisimple Lie group on a
polarized complex projective manifold $(M,L)$. We study by means of microlocal
techniques the local and global asymptotic behaviour of linear series on $M$
defined in terms of the action and the irreducible representations of $G$.

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