PT EN

Algebraic Geometry

Program

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

Events

  • There is no information available on this topic.
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Defended Theses

  • Numerical semigroups: a conjecture of Wilf and related topics
      Neeraj Kumar (July 2025)
      Manuel Delgado
      Claude Marion
  • Dynamics of vector fields with univalued solutions
      Laura Rosales Ortiz (June 2025)
      Helena Reis
      Júlio Rebelo (Université Toulouse III)
  • Regular transitions of physical measures in nonuniformly hyperbolic systems
      Odaudu Reuben Etubi (April 2025)
      José Ferreira Alves
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