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Moment maps and equivariant Szego kernels

Roberto Paoletti
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Abstract

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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Roberto Paoletti. 2003-10-31. Moment maps and equivariant Szego kernels. https://arxiv.org/abs/math/0303141

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