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On Seshadri Constants of Canonical Bundles of Compact Complex Hyperbolic Spaces

Published online by Cambridge University Press:  04 December 2007

JUN-MUK HWANG  and
WING-KEUNG TO
JUN-MUK HWANG
Affiliation:
Department of Mathematics, Seoul National University, Seoul 151-742, Korea; e-mail: jmhwang@math.snu.ac.kr
WING-KEUNG TO
Affiliation:
Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260; e-mail: mattowk@leonis.nus.edu.sg
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Abstract

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Upper and lower bounds for the Seshadri constants of canonical bundles of compact 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

Seshadri constantcomplex hyperbolic spacesymplectic blow-upsingular hermitian metric.
Type
Research Article
Information
Compositio Mathematica , Volume 118 , Issue 2 , September 1999 , pp. 203 - 215
Copyright
© 1999 Kluwer Academic Publishers