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Local ring of a smooth algebraic curve

At every point of a smooth algebraic curve, the local ring is a discrete valuation ring. Its valuation measures the order of vanishing of a rational function at that point.

Ancestors (9)

  1. Smooth projective curve
  2. Projective variety
  3. Projective space
  4. Algebraic variety
  5. Algebraic geometry
  6. Geometry and topology
  7. Area of mathematics
  8. Mathematics
  9. Home

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