Local Properties

  • Igor R. Shafarevich
Part of the Grundlehren der mathematischen Wissenschaften book series (volume 213)


In this chapter we study local properties of points of algebraic varieties, that is, properties of points xX that are preserved when X is replaced by any affine neighbourhood of x. Since every point has an affine neighbourhood, we may confine ourselves in the study of local properties to points on affine varieties.


Singular Point Tangent Space Local Property Local Parameter Local Ring 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1977

Authors and Affiliations

  • Igor R. Shafarevich
    • 1
  1. 1.Steklov Mathematical InstituteAcademy of SciencesUSSR

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