Inhalt des Dokuments
An Introduction to Algebraic Geometry
Prerequisites (besides linear algebra) are only the contents of Algebra I. The lecture Algebra II is helpful but not necessary.
Oral Exams
We offer oral exams (duration: 45 minutes) on the following dates:
- Tuesday, March 13
- Wednesday, March 14
Please get an appointment in MA318 and register either with the examination office or with Qispos. Contact Beate Nießen if you have any problems with registration.
Schedule
| Typ | Tag | Zeitraum | Raum | Lehrperson |
|---|---|---|---|---|
| Vorlesung | Tuesday | 1015-1145 | MA 376 | Prof. Dr. Peter Bürgisser |
| Vorlesung | Wednesday | 1015-1145 | MA 043 | Prof. Dr. Peter Bürgisser |
| Übung | Thursday | 1015-1145 | MA 141 | Kathlén Kohn |
Content
Here is the Complete Table of Contents.
The lecture mainly follows the script by Andreas Gathmann, focussing on:
- affine and projective varieties
- morphisms
- dimension theory
- tangent spaces
- degree
Henning Seidler's notes on this lecture and many other awesome lecture notes can be found here.
Literature
- Shafarevich - Basic Algebraic Geometry 1
- Brodmann - Algebraische Geometrie: Eine Einführung
- Fulton - Algebraic Curves
- Harris - Algebraic Geometry: A First Course (viele konkrete Beispiele)
- Hartshorne - Algebraic Geometry (Kapitel 1)
- Kunz - Einführung in die algebraische Geometrie
- Mumford - The red book of varieties and schemes (Kapitel 1)
- Reid - Undergraduate Algebraic Geometry (elementar)
Zusatzinformationen / Extras
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