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Article: Effective estimates on the very ampleness of the canonical line bundle of locally hermitian symmetric spaces
Title | Effective estimates on the very ampleness of the canonical line bundle of locally hermitian symmetric spaces |
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Authors | |
Keywords | Very ampleness canonical embedding |
Issue Date | 2000 |
Publisher | American Mathematical Society. |
Citation | Transactions of the American Mathematical Society, 2000, v. 353 n. 4, p. 1387-1401 How to Cite? |
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. |
Persistent Identifier | http://hdl.handle.net/10722/48397 |
ISSN | 2023 Impact Factor: 1.2 2023 SCImago Journal Rankings: 1.581 |
DC Field | Value | Language |
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dc.contributor.author | Yeung, SK | en_HK |
dc.date.accessioned | 2008-05-22T04:11:39Z | - |
dc.date.available | 2008-05-22T04:11:39Z | - |
dc.date.issued | 2000 | en_HK |
dc.identifier.citation | Transactions of the American Mathematical Society, 2000, v. 353 n. 4, p. 1387-1401 | en_HK |
dc.identifier.issn | 0002-9947 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/48397 | - |
dc.description.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. | en_HK |
dc.format.extent | 222084 bytes | - |
dc.format.extent | 1837 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.format.mimetype | text/plain | - |
dc.language | eng | en_HK |
dc.publisher | American Mathematical Society. | en_HK |
dc.rights | Transactions of the American Mathematical Society. Copyright © American Mathematical Society. | en_HK |
dc.rights | First published in Transactions of the American Mathematical Society, 2000, v. 353 n. 4, p. 1387-1401, published by the American Mathematical Society, | en_HK |
dc.subject | Very ampleness | en_HK |
dc.subject | canonical embedding | en_HK |
dc.title | Effective estimates on the very ampleness of the canonical line bundle of locally hermitian symmetric spaces | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0002-9947&volume=353&issue=4&spage=1387&epage=1401&date=2000&atitle=Effective+estimates+on+the+very+ampleness+of+the+canonical+line+bundle+of+locally+hermitian+symmetric+spaces | en_HK |
dc.identifier.email | Yeung, SK: yeung@math.purdue.edu | en_HK |
dc.description.nature | published_or_final_version | en_HK |
dc.identifier.scopus | eid_2-s2.0-33646873550 | - |
dc.identifier.issnl | 0002-9947 | - |