Polar and dual varieties of real curves and surfaces

Tuesday, September 19, 2006 - 9:30am - 10:20am
EE/CS 3-180
Ragni Piene (University of Oslo)
The theory of polar varieties have been used by Bank et al. and
Safey El Din et al. to give algorithms for finding a point on each
connected component of a smooth, complete intersection real variety. In
this talk, based on ongoing joint work with Heidi Mork, we shall consider
possibly singular varieties and study the polar varieties and their
relation to the dual variety and to the Gauss map. In particular, we shall
look at the case of curves and surfaces.