Department Mathematik
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Inhaltsbereich
Algebraic Geometry 1, chapter 1 :

Lecture 1 (part 1) (1,6 Gb, 49mn), Lecture 1 (part 2) (1,1 Gb, 33mn) :
Introduction (3 November)
Lecture 2 (part 1) (1,2 Gb, 37mn), Lecture 2 (part 2) (2 Gb, 62mn) :
Affine spaces and algebraic sets (5 November)
Lecture 3 (part 1) (1,1 Gb, 34mn), Lecture 3 (part 2) (1,7 Gb, 53mn) :
Hilbert's Nullstellensatz, algebraic sets and radical ideals (10 November)
Lecture 4 (part 1) (1,4 Gb, 44mn), Lecture 4 (part 2) (1,3 Gb, 42mn) :
Irreducible algebraic sets and prime ideals (12 November)
Lecture 5 (part 1) (1,3 Gb, 42mn), Lecture 5 (part 2) (1,5 Gb, 46mn) :
Affine ring of an algebraic set, noetherian spaces, decomposition in irreducible components,
dimension (17 November)
Lecture 6 (part 1) (1,5 Gb, 45mn), Lecture 6 (part 2) (1,4 Gb, 45mn) :
Projective spaces (19 November)
Lecture 7 (part 1) (1,8 Gb, 57mn), Lecture 7 (part 2) (970 Mb, 31mn) :
Zariski topology on Projective spaces, homogeneous polynomials, homogeneous ideals (24 November)
Lecture 8 (part 1) (750 Mb, 24mn), Lecture 8 (part 2) (2,0 Gb, 62mn) :
homogeneous ideals and closed subsets. Projective completion (26 November)
Lecture 9 (part 1) (1,5 Gb, 46mn), Lecture 9 (part 2) (1,6 Gb, 49mn) :
Regular functions, morphisms between algebraic (affine or quasi-projective) sets (1 December )