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Projective normality of ruled surfaces

Authors
Park, Euisung
Issue Date
2008
Publisher
AMER MATHEMATICAL SOC
Citation
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, v.136, no.3, pp.839 - 847
Indexed
SCIE
SCOPUS
Journal Title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume
136
Number
3
Start Page
839
End Page
847
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/125518
ISSN
0002-9939
Abstract
In this article we study normal generation of irrational ruled surfaces. When C is a smooth curve of genus g, Green and Lazarsfeld proved that a very ample line bundle L is an element of PicX with deg(L) >= 2g+1-2h(1)(X, L)-Cliff(X) is normally generated where Cliff(C) denotes the Clifford index of the curve C (Green and Lazarsfeld, 1986). We generalize this to line bundles on a ruled surface over C.
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Park, Eui sung
이과대학 (수학과)
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