The Szego kernel of a symplectic quotient

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Suppose a compact Lie group acts on a polarized complex projective manifold (M,L). Under favorable circumstances, the Hilbert-Mumford quotient for the action of the complexified group may be described as a symplectic quotient (or reduction). This paper addresses some metric questions arising from this identification, by analyzing the relationship between the Szego kernel of the pair (M,L) and that of the quotient.
Typos corrected, some improvements in exposition

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Symplectic Geometry, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/71017

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0404549
 http://arxiv.org/abs/math/0404549

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arXiv