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Title: Star points on smooth hypersurfaces
Authors: Cools, Filip * ×
Coppens, Marc * #
Issue Date: Jan-2010
Publisher: Academic Press
Series Title: Journal of Algebra vol:323 issue:1 pages:261-286
Abstract: A point P on a smooth hypersurface X of degree d in P-N is called a star point if and only if the intersection of X with the embedded tangent space T-P(X) is a cone with vertex P. This notion is a generalization of total inflection points on plane curves and Eckardt points on smooth cubic surfaces in P-3. We generalize results on the configuration space of total inflection points on plane curves to star points. We give a detailed description of the configuration space for hypersurfaces with two or three star points. We investigate collinear star points and we prove that the number of star points on a smooth hypersurface is finite. (C) 2009 Elsevier Inc. All rights reserved.
URI: 
ISSN: 0021-8693
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Algebra Section
Technologiecluster ESAT Elektrotechnische Engineering
Electrical Engineering (ESAT) TC, Technology Campus Geel
* (joint) first author
× corresponding author
# (joint) last author

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