Titlebook: Holomorphic Morse Inequalities and Bergman Kernels; Xiaonan Ma,George Marinescu Book 2007 Birkh?user Basel 2007 Analytic torsion.Bergman k

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書目名稱Holomorphic Morse Inequalities and Bergman Kernels讀者反饋




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precede

Holomorphic Morse Inequalities on Non-compact Manifolds,ect in the spectral spaces of the Laplacian with Dirichlet boundary conditions on a smooth relatively domain, The asymptotic of the latter operator is calculated in Theorem 3.2.9. For a compact manifold we recover of course Theorem 1.7.1.

煩擾

Incompetent

Asymptotic Expansion of the Bergman Kernel,. Thus we can instead study the Bergman kernel on ?. (cf. (4.1.27)), and use various resolvent representations (4.1.59), (4.2.22) of the Bergman kernel on ?.. We conclude our results by employing functional analysis resolvent techniques.

袖章

Book 2007ira embedding theorem, a solution of the Grauert-Riemenschneider and Shiffman conjectures, a compactification of complete K?hler manifolds of pinched negative curvature, the Berezin-Toeplitz quantization, weak Lefschetz theorems, and the asymptotics of the Ray-Singer analytic torsion..

自戀

Characterization of Moishezon Manifolds,mmert-Thimm, that the field of meromorphic functions on a connected compact complex manifold is an algebraic field of transcendence degree less than the dimension of the manifold. Then we study in more detail Moishezon manifolds and their relation to projective manifolds. In particular we prove that

冒失

Holomorphic Morse Inequalities on Non-compact Manifolds,.-cohomology in a quite general context, namely, when the fundamental estimate (3.2.2) holds. This gives a fairly general method which may be applied in many situations. The main idea, going back to Witten, is to show that the spectral spaces of the Laplacian, corresponding to small eigenvalues, inj

卡死偷電

碌碌之人

Toeplitz Operators,tensor powers of a positive line bundle over a compact manifold. In particular we obtain a construction of a star-product (a deformation quantization) using this technique. Moreover, our approach works with some modifications on non-compact and symplectic manifolds.