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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Singular hypersurfaces possessing infinitely many star points


Authors: Filip Cools and Marc Coppens
Journal: Proc. Amer. Math. Soc. 139 (2011), 3413-3422
MSC (2010): Primary 14J70, 14N15, 14N20
Published electronically: March 3, 2011
MathSciNet review: 2813373
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Abstract: We prove that a component $ \Lambda$ of the closure of the set of star points on a hypersurface of degree $ d\geq 3$ in $ \mathbb{P}^N$ is linear. Afterwards, we focus on the case where $ \Lambda$ is of maximal dimension and the case where $ X$ is a surface.


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Additional Information

Filip Cools
Affiliation: Department of Mathematics, Katholieke Universiteit Leuven, Celestijnenlaan 200B, B-3001 Leuven, Belgium
Email: Filip.Cools@wis.kuleuven.be

Marc Coppens
Affiliation: Departement Industriel Ingenieur en Biotechniek, Katholieke Hogeschool Kempen, Kleinhoefstraat 4, B-2440 Geel, Belgium – and – Department of Mathematics, Katholieke Universiteit Leuven, Celestijnenlaan 200B, B-3001 Leuven, Belgium
Email: Marc.Coppens@khk.be

DOI: http://dx.doi.org/10.1090/S0002-9939-2011-10760-3
PII: S 0002-9939(2011)10760-3
Received by editor(s): January 18, 2010
Received by editor(s) in revised form: August 19, 2010, and August 26, 2010
Published electronically: March 3, 2011
Communicated by: Lev Borisov
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.