Zariski’s Main Theorem

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


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.


Singular Locus Quotient Field Complex Neighbourhood Birational Morphism Algebraic Construction 
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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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