Given a compact quantizable pseudo-Kähler manifold (M,ω) of constant signature, there exists a Hermitian line bundle (L, h) over M with curvature -2πiω. We shall show that the asymptotic expansion of the Bergman kernels for L⊗k-valued (0, q)-forms implies more or less immediately a number of analogues of well-known results, such as Kodaira embedding theorem and Tian’s almost-isometry theorem.
Embedding theorems for quantizable pseudo-Kähler manifolds
Galasso, A.;
2025-01-01
Abstract
Given a compact quantizable pseudo-Kähler manifold (M,ω) of constant signature, there exists a Hermitian line bundle (L, h) over M with curvature -2πiω. We shall show that the asymptotic expansion of the Bergman kernels for L⊗k-valued (0, q)-forms implies more or less immediately a number of analogues of well-known results, such as Kodaira embedding theorem and Tian’s almost-isometry theorem.File in questo prodotto:
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