Definitions of Dimension and Elementary Examples

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


We will start by giving a number of different definitions of dimension and we will try to indicate how they relate to one another. All of our definitions initially apply to an irreducible variety X; the dimension of an arbitrary variety will be defined to be the maximum of the dimensions of its irreducible components.


Irreducible Component Complete Intersection Projective Variety Secant Line Secant Variety 
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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