Schedule and classroom

• Wednesdays: 10:00 - 12:00;

• Classroom: block C, room 100A.

Content

• Polynomials and affine space;

• Affine varieties;

• Parametrizations of affine varieties;

• Hilbert Basis Theorem and Gröbner Bases;

• Elimination Theory;

• Hilbert's Nullstellensatz;

• Ideal-variety correspondence;

• Irreducible varieties and primes ideals;

• Decomposition of a variety into irreducible ones;

• Polynomial mappings;

• Coordinate ring of an affine variety;

• Hilbert's Function;

• Projective space;

• Projective varieties.