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

Yeung, Sai-Kee

doi:10.1090/S0002-9947-00-02777-X

Effective estimates on the very ampleness of the canonical line bundle of locally Hermitian symmetric spaces
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Trans. Amer. Math. Soc. 353 (2001), 1387-1401 Request permission

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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Yeung, S. K., Very ampleness of line bundles and canonical embedding of coverings of manifolds, to appear in Compositio. Math.