Mathematics – Symplectic Geometry
Scientific paper
2003-03-12
Mathematics
Symplectic Geometry
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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