Math 612: Algebraic geometry

Fall 2016

Time: MW, 10:30am to 11:45am     •     Location: KAP 427

Syllabus


Lecture notes
18 October 31 Tangent spaces and singularities Notes
17 October 26 Hypersurfaces and Krull's Hauptidealsatz Notes
16 October 24 Dimension and transcendence degree Notes
15 October 19 Noether normalization Notes
14 October 17 Bézout's theorem II; Finite morphisms Notes
13 October 12 Intersection numbers; Bézout's theorem Notes
12 October 10 Artinian rings Notes
11 October 3 Completeness of projective varieties Notes
10 September 28 The Segre embedding; separation Notes
9 September 26 Closed immersions Notes
8 September 21 Projective algebraic sets Notes
7 September 19 Gluing prevarieties; products Notes
6 September 14 Open subprevarieties and morphisms Notes
5 September 12 Sheaves of regular functions; algebraic prevarieties Notes
4 September 7 Localization and regular functions Notes
3 August 31 Irreducible components; morphisms of algebraic sets Notes
2 August 29 The Zariski topology and the ideal-variety correspondence Notes
1 August 24 Hilbert's Nullstellensatz Notes
0 August 22 Informal introduction



Homework

Homework 1 Homework 2


Solutions

Solutions 2