Projective normality of ruled surfaces

Author:
Euisung Park

Journal:
Proc. Amer. Math. Soc. **136** (2008), 839-847

MSC (2000):
Primary 14J26

Published electronically:
November 30, 2007

MathSciNet review:
2361855

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Abstract | References | Similar Articles | Additional Information

Abstract: In this article we study normal generation of irrational ruled surfaces. When is a smooth curve of genus , Green and Lazarsfeld proved that a very ample line bundle Pic with deg Cliff is normally generated where Cliff denotes the Clifford index of the curve (Green and Lazarsfeld, 1986). We generalize this to line bundles on a ruled surface over .

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Additional Information

**Euisung Park**

Affiliation:
Department of Mathematics, Korea University, Seoul 136-701, Republic of Korea

Email:
euisungpark@korea.ac.kr

DOI:
http://dx.doi.org/10.1090/S0002-9939-07-09121-6

Received by editor(s):
July 15, 2005

Received by editor(s) in revised form:
February 19, 2007

Published electronically:
November 30, 2007

Communicated by:
Michael Stillman

Article copyright:
© Copyright 2007
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.