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MAA Reviews

Lectures on Curves, Surfaces and Projective Varieties: A Classical View of Algebraic Geometry

M. C. Beltrametti, E. Carletti, D. Gallarati, and G. M. Bragadin

Table of Contents

  • Prerequisites
  • Algebraic sets, morphisms, and rational maps
  • Geometric properties of algebraic varieties
  • Rudiments of elimination theory
  • Hypersurfaces in projective space
  • Linear systems
  • Algebraic curves
  • Linear series on algebraic curves
  • Cremona transformations
  • Rational surfaces
  • Segre varieties
  • Grassmann varieties
  • Supplementary exercises
  • Bibliography
  • Index

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