Star points on smooth hypersurfaces

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dc.creatorCools, Filip
dc.creatorCoppens, Marc
dc.date2009-03-11
dc.date.accessioned2026-07-07T12:51:38Z
dc.date.available2026-07-07T12:51:38Z
dc.descriptionA point P on a smooth hypersurface X of degree d in an N-dimensional projective space 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 three-dimensional projective space. 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.
dc.description30 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0903.2005
dc.identifierhttp://arxiv.org/abs/0903.2005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223055
dc.subjectAlgebraic Geometry
dc.subject14J70, 14N15, 14N20
dc.titleStar points on smooth hypersurfaces
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