Gauss Maps, Tangential and Dual Varieties
In the preceding lecture, we associated to each point of a projective variety X ⊂ ℙ n a linear subspace of ℙ n. We investigate here how those planes vary on X, that is, the geometry of the Gauss map. Before we launch into this, however, we should take a moment to discuss a question that will be increasingly relevant to our analysis; the choice of our ground field K and in particular its characteristic.
KeywordsTangent Plane Tangent Line Dual Variety Smooth Variety Smooth Point
Unable to display preview. Download preview PDF.