Degree

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

Abstract

Our next fundamental notion, that of the degree of a projective variety X ⊂ ℙ n , may be defined in ways for the most part exactly analogous to the notion of dimension. As in the case of the various definitions of dimension, the fact that these definitions are equivalent (or, in some cases, that they are well-defined at all) will not be established until we have introduced them all.

Keywords

Irreducible Component Hilbert Function Hyperplane Section Hilbert Polynomial Pure Dimension 
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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