Effective estimates on the very ampleness of the canonical line bundle of locally Hermitian symmetric spaces
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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.References
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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
- MR Author ID: 263917
- Email: yeung@math.purdue.edu
- 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
- © Copyright 2000 American Mathematical Society
- 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
- MathSciNet review: 1806736