Ideals of Varieties, Irreducible Decomposition, and the Nullstellensatz

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


The time has come to talk about the various senses in which a variety may be defined by a set of equations. There are three different meanings of the statement that a collection of polynomials {F α (Z)} “cut out” a variety X ⊂ ℙ n , and several different terms are used to convey each of these meanings.


Prime Ideal Projective Variety Noetherian Ring Open Dense Subset Coordinate Ring 
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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