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MAT 5150

Topics in Geometry

3 units

Winter 2009 · Introduction to Algebraic Geometry

Topics

  • Commutative algebra and localization
  • Affine varieties and Zariski topology
  • Hilbert’s Nullstellensatz
  • Projective spaces, graded rings and projective varieties
  • Sheaves, ringed spaces and local rings
  • Dimension
  • Tangent spaces, singularities and Bézout’s theorem as time permits

Readings

  • Algebraic Geometry: An Introduction
    Daniel Perrin · Springer, 2007 · Course text
Sources