Effective estimates on the very ampleness of the canonical line bundle of locally Hermitian symmetric spaces

DOI10.1090/S0002-9947-00-02777-XzbMath0971.32009MaRDI QIDQ2701662

Sai Kee Yeung

Publication date: 19 February 2001

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

zbMATH Keywords

Bergman kernelheat kernelamplenesslocally Hermitian symmetric manifold

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Embeddings in algebraic geometry (14E25) Compact Kähler manifolds: generalizations, classification (32J27) Jordan structures on Banach spaces and algebras (17C65) Embedding theorems for complex manifolds (32Q40) Negative curvature complex manifolds (32Q05)

Related Items (5)

Limit of Bergman kernels on a tower of coverings of compact Kähler manifolds ⋮ A tower of coverings of quasi-projective varieties ⋮ On the canonical line bundle of a locally Hermitian symmetric space ⋮ Szegő kernels and Poincaré series ⋮ Effective very ampleness of the canonical line bundles on ball quotients

Cites Work

• A compact Kähler surface of negative curvature not covered by the ball
• Asymptotic expansions for the compact quotients of properly discontinuous group actions
• Betti numbers on a tower of coverings
• Approximating \(L^ 2\)-invariants by their finite-dimensional analogues
• Curvature and the eigenforms of the Laplace operator
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Compact Clifford-Klein forms of symmetric spaces
• Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds
• Elliptic operators and covers of Riemannian manifolds
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