Inhalt des Dokuments
An Introduction to Algebraic Geometry
Prerequisites (besides linear algebra) are only the contents of Algebra I [1]. The lecture Algebra II [2] 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 [3] if you have any problems with registration.
Schedule
Typ | Tag | Zeitraum | Raum | Lehrperson |
---|---|---|---|---|
Vorlesung | Tuesday | 1015-1145 | MA 376 | Prof. Dr. Peter
Bürgisser [4] |
Vorlesung | Wednesday | 1015-1145 | MA 043 | Prof. Dr. Peter
Bürgisser [5] |
Übung | Thursday | 1015-1145 | MA
141 | Kathlén Kohn
[6] |
Content
Here is
the Complete Table of Contents [7].
The lecture mainly
follows the script by Andreas Gathmann [8], 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 [9].
Exercise Sheets
There are exercise sheets available which are not graded or marked:
- Sheet 1 [10]
- Sheet 2 [11]
- Sheet 3 [12]
- Sheet 4 [13] - Solutions [14]
- Sheet 5 [15]
- Sheet 6 [16]
- Sheet 7 [17]
- Sheet 8 [18]
- Sheet 9 [19]
- Sheet 10 [20]
- Sheet 11 [21]
- Sheet 12 [22]
- Sheet 13 [23]
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)
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