Gauss Maps, Tangential and Dual Varieties

  • Joe Harris
Part of the Graduate Texts in Mathematics book series (GTM, volume 133)

Abstract

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.

Keywords

Tangent Plane Tangent Line Dual Variety Smooth Variety Smooth Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • Joe Harris
    • 1
  1. 1.Department of MathematicsHarvard UniversityCambridgeUSA

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