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


Author: Sai-Kee Yeung
Journal: Trans. Amer. Math. Soc. 353 (2001), 1387-1401
MSC (2000): Primary 14E25, 32J27, 32Q05, 32Q40
DOI: https://doi.org/10.1090/S0002-9947-00-02777-X
Published electronically: December 15, 2000
MathSciNet review: 1806736
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Abstract:

We study the problem about the very ampleness of the canonical line bundle of compact locally Hermitian symmetric manifolds of non-compact type. In particular, we show that any sufficiently large unramified covering of such manifolds has very ample canonical line bundle, and give estimates on the size of the covering manifold, which is itself a locally Hermitian symmetric manifold, in terms of geometric data such as injectivity radius or degree of coverings.


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Additional Information

Sai-Kee Yeung
Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907-1395; Department of Mathematics, The University of Hong Kong, Hong Kong
Email: yeung@math.purdue.edu

DOI: https://doi.org/10.1090/S0002-9947-00-02777-X
Keywords: Very ampleness, canonical embedding
Received by editor(s): April 10, 2000
Published electronically: December 15, 2000
Additional Notes: The author was partially supported by grants from the National Science Foundation
Article copyright: © Copyright 2000 American Mathematical Society

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