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 aspects of this identification, by analyzing the relationship between the Szego kernel of the pair (M, L) and that of the quotient. (c) 2004 Elsevier Inc. All rights reserved.
Paoletti, R. (2005). The Szego kernel of a symplectic quotient. ADVANCES IN MATHEMATICS, 197(2), 523-553 [10.1016/j.aim.2004.10.014].
The Szego kernel of a symplectic quotient
PAOLETTI, ROBERTO
2005
Abstract
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 aspects of this identification, by analyzing the relationship between the Szego kernel of the pair (M, L) and that of the quotient. (c) 2004 Elsevier Inc. All rights reserved.File in questo prodotto:
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