Gauss Maps, Tangential and Dual Varieties

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


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.


Tangent Plane Tangent Line Dual Variety Smooth Variety Smooth Point 
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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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