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Effective estimates on the very ampleness of the canonical line bundle of locally Hermitian symmetric spaces
Author(s):
Sai-Kee
Yeung
Journal:
Trans. Amer. Math. Soc.
353
(2001),
1387-1401.
MSC (2000):
Primary 14E25, 32J27, 32Q05, 32Q40
Posted:
December 15, 2000
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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:
10.1090/S0002-9947-00-02777-X
PII:
S 0002-9947(00)02777-X
Keywords:
Very ampleness,
canonical embedding
Received by editor(s):
April 10, 2000
Posted:
December 15, 2000
Additional Notes:
The author was partially supported by grants from the National Science Foundation
Copyright of article:
Copyright
2000,
American Mathematical Society
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