On Seshadri Constants of Canonical Bundles of Compact Complex Hyperbolic Spaces
Hwang, J.-M. To, W.-K.
Hwang, J.-M.
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Abstract
Upper and lower bounds for the Seshadri constants of canonical bundles of compact complex hyperbolic spaces are given in terms of metric invariants. The lower bound is obtained by carrying out the symplectic blow-up construction for the Poincaré metric, and the upper bound is obtained by a convexity-type argument.
Keywords
Complex hyperbolic space, Seshadri constant, Singular Hermitian metric, Symplectic blow-up
Source Title
Compositio Mathematica
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Date
1999
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Article