Algebraic Geometry


Affine varieties. Zariski's topology. Hilbert's Basis Theorem and Nullstellensatz. Spectrum of a ring. Projective varieties. Sheaves, schemes and algebraic varieties. Irreducibility and dimension. Morphisms of algebraic varieties.
One or more of the following additional topics may be covered:
Algebraic curves, Serre duality, the Riemann-Roch Theorem, sheaf cohomology.

Research and Events


  • Jeux de tableaux and crystals
    Olga Azenhas (CMUC)
    15h30m, Room 108, UP Math. Dept.
    December 12, 2017
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Defended Theses

  • Descent theory of (T,V)-categories: global-descent and étale-descent
      Pier Giorgio Basile (September 2017)
      Maria Manuel Clementino
  • Representations of generalized quivers
      Artur Duarte Ferreira de Araújo (June 2017)
      Peter Gothen
  • On semisimple Hopf actions
      Deividi Ricardo Pansera (June 2017)
      Christian Edgar Lomp
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