Polars of real singular curves

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dc.creatorMork, Heidi Camilla
dc.creatorPiene, Ragni
dc.date2008-12-22
dc.date.accessioned2026-07-07T12:21:17Z
dc.date.available2026-07-07T12:21:17Z
dc.descriptionPolar varieties have in recent years been used by Bank, Giusti, Heintz, Mbakop, and Pardo, and by Safey El Din and Schost, to find efficient procedures for determining points on all real components of a given non-singular algebraic variety. In this note we review the classical notion of polars and polar varieties, as well as the construction of what we here call reciprocal polar varieties. In particular we consider the case of real affine plane curves, and we give conditions for when the polar varieties of singular curves contain points on all real components.
dc.description18 pages, 16 figures
dc.identifierhttps://arxiv.org/abs/0812.4245
dc.identifierhttp://arxiv.org/abs/0812.4245
dc.identifierIMA Volumes in Mathematics and its Applications, Vol. 146, A. Dickenstein, F.-O. Schreyer, A.J. Sommese (Eds.), Springer, pp. 99-115, 2008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213314
dc.subjectAlgebraic Geometry
dc.subject14H50; 14J70, 14P05, 14Q05
dc.titlePolars of real singular curves
dc.typetext

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