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.
Articolo in rivista - Articolo scientifico
moment map; Szego kernel; symplectic quotient; Fourier-hermite distribution; symplectic spinor
English
10-nov-2005
197
2
523
553
none
Paoletti, R. (2005). The Szego kernel of a symplectic quotient. ADVANCES IN MATHEMATICS, 197(2), 523-553 [10.1016/j.aim.2004.10.014].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/1832
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