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Zariski’s Main Theorem

  • David Mumford
Part of the Lecture Notes in Mathematics book series (LNM, volume 1358)

Abstract

In §8 our discussion of normality has been largely a matter of carrying over into geometry the algebraic ideas and algebraic constructions involving integral closure. However, normality turns out to have a hidden geometric content as well, which is not so easy to discover. This involves the concept of the “branches” of a variety at a point.

Keywords

Singular Locus Quotient Field Complex Neighbourhood Birational Morphism Algebraic Construction 
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-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • David Mumford
    • 1
  1. 1.Department of MathematicsHarvard UniversityCambridgeUSA

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