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Hilbert’s basis theorem, Hilbert‘s Nullstellensatz, (quasi-)affine and (quasi-)projective varieties, dimension, Zariski topology, local rings, morphisms and rational maps, blow-ups smoothness, intersection multiplicities, Bézout‘s theorem, plane curves and resolution of singularities, divisors and the Riemann-Roch theorem for curves


Links to the books are found here.

Lecture 1: Tuesdays 10:15 - 11:45, MS-Teams
Lecture 2: Thursdays 10:15 - 11:45, MS-Teams
Exercise session, to be announced, MS-Teams;
Office hours: by appointment