Szegö kernels and finite group actions

DOI10.1090/S0002-9947-03-03490-1zbMath1055.53065arXivmath/0106026OpenAlexW1957029438MaRDI QIDQ4813797

Roberto Paoletti

Publication date: 13 August 2004

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0106026

zbMATH Keywords

symplectic geometrysymplectic manifoldsgeometric quantizationalmost complex structuresalmost complex quantization

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Finite transformation groups (57S17) Embedding of analytic spaces (32C22) Divisors, linear systems, invertible sheaves (14C20) Geometric quantization (53D50) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Varieties and morphisms (14A10)

Related Items (2)

Constructions of Kähler-Einstein metrics with negative scalar curvature ⋮ The asymptotic growth of equivariant sections of positive and big line bundles

Cites Work

• Almost complex structures and geometric quantization
• On a set of polarized Kähler metrics on algebraic manifolds
• Universality and scaling of correlations between zeros on complex manifolds
• The asymptotic growth of equivariant sections of positive and big line bundles
• Asymptotics of almost holomorphic sections of ample line bundles on symplectic manifolds
• The Spectral Theory of Toeplitz Operators. (AM-99)
• Hypoelliptic operators with double characteristics and related pseudo-differential operators
• Nearly Kählerian embeddings of symplectic manifolds
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