Moment Maps and Equivariant Szegö Kernels
Copyright policy )Moment Maps and Equivariant Szegö Kernels
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 $G$.
improvements in results and exposition, references added
irreducible representation, Hamiltonian action, projective manifold, equivariant linear series, Semisimple Lie groups and their representations, Mathematics - Algebraic Geometry, Mathematics - Symplectic Geometry, Momentum maps; symplectic reduction, Hermitian line bundle, FOS: Mathematics, Wave front sets in context of PDEs, Symplectic Geometry (math.SG), stationary phase, Algebraic Geometry (math.AG)
irreducible representation, Hamiltonian action, projective manifold, equivariant linear series, Semisimple Lie groups and their representations, Mathematics - Algebraic Geometry, Mathematics - Symplectic Geometry, Momentum maps; symplectic reduction, Hermitian line bundle, FOS: Mathematics, Wave front sets in context of PDEs, Symplectic Geometry (math.SG), stationary phase, Algebraic Geometry (math.AG)
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