Embedding theorems for quantizable pseudo-Kähler manifolds
Journal
Bollettino dell'Unione Matematica Italiana
ISSN
1972-6724
2198-2759
Date Issued
2024-11-10
Author(s)
Andrea Galasso
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.
Publisher
Springer Science and Business Media LLC
Type
journal article