MA8203 Algebraic Geometry
Lecturer
Reiner Hermann, room 802, Sentralbygg II, Reiner [dot] Hermann [at] math [dot] ntnu [dot] no
Schedule
Lectures will regularly take place Mondays, 12:15–14:00 and Tuesdays, 10:15–12:00 in room 822.
| Exceptions | |
|---|---|
| Th, Jan 8th | Lecture at 8:15 in 734 |
| Th, Mar 5th | Extra Lecture at 8:15 in 734 |
| Mo, Mar 9th | No Lecture |
| Tu, Mar 10th | No Lecture |
| Fr, Mar 20th | Extra Lecture at 10:15 in 922 |
| Th, Mar 26th | Extra Lecture at 10:15 in 822 |
| Th, Apr 9th | Lecture at 10:15 in 734 |
| Fr, Apr 10th | Lecture at 10:15 in 822 |
| Mo, Apr 13th | No Lecture |
| Tu, Apr 14th | No Lecture |
A summary of the subjects that have been covered can be found here.
Scope
We follow the classical approach to algebraic geometry. Our main goal is to prove Bézout's Theorem. Optional goals are to introduce sheaf cohomology and to prove the Riemann-Roch Theorems.
Requirements are basic knowledge of (commutative) ring theory and topology.
Book
The course will follow the book Algebraic Geometry - An Introduction by Daniel Perrin. This book is originally written in French. However, I will be using the English translation.
Individual chapters of the book can be downloaded from SpringerLink via the NTNU library (that is, you have to be on campus or surf via campus).
Exercises
Exercises will be posted every other week (after the respective Tuesday lecture). The exercise sheet may be found here. Solutions will be discussed briefly at the beginning of the Monday lectures if desired.