Threefolds containing Bordiga surfaces as ample divisors

Author:
Hidetoshi Maeda

Journal:
Proc. Amer. Math. Soc. **137** (2009), 1631-1639

MSC (2000):
Primary 14J25; Secondary 14J30, 14J60

DOI:
https://doi.org/10.1090/S0002-9939-08-09752-9

Published electronically:
November 26, 2008

MathSciNet review:
2470821

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be an ample line bundle on a smooth complex projective variety of dimension three such that there exists a smooth member of . When the restriction of to is very ample and is a Bordiga surface, it is proved that there exists an ample vector bundle of rank two on with and such that , where is the tautological line bundle on the projective space bundle associated to .

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Additional Information

**Hidetoshi Maeda**

Affiliation:
Department of Mathematics, Faculty of Science and Engineering, Waseda University, 3-4-1 Ohkubo, Shinjuku-ku, Tokyo 169-8555, Japan

Email:
maeda@variety.sci.waseda.ac.jp

DOI:
https://doi.org/10.1090/S0002-9939-08-09752-9

Keywords:
Ample line bundle,
Bordiga surface

Received by editor(s):
November 23, 2007

Received by editor(s) in revised form:
July 16, 2008

Published electronically:
November 26, 2008

Communicated by:
Ted Chinburg

Article copyright:
© Copyright 2008
American Mathematical Society

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