The first call for applications for the new edition of the PhD Program in Mathematics UC|UP (starting September 2018) will be open during January 02, 2018 - February 02, 2018
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.