Singular hypersurfaces possessing infinitely many star points
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- by Filip Cools and Marc Coppens PDF
- Proc. Amer. Math. Soc. 139 (2011), 3413-3422 Request permission
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.References
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Additional Information
- Filip Cools
- Affiliation: Department of Mathematics, Katholieke Universiteit Leuven, Celestijnenlaan 200B, B-3001 Leuven, Belgium
- MR Author ID: 771467
- 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
- 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
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 3413-3422
- MSC (2010): Primary 14J70, 14N15, 14N20
- DOI: https://doi.org/10.1090/S0002-9939-2011-10760-3
- MathSciNet review: 2813373