direkt zum Inhalt springen

direkt zum Hauptnavigationsmenü

Sie sind hier

TU Berlin

Inhalt des Dokuments

Algebraic Geometry I

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.

Schedule

There will be NO lecture on Wednesday, February 7. The replacement lecture will be in MA 316 on Monday, January 22, at 2:15 pm.

The lecture on Tuesday, February 6, does take place!

Vorlesungszeiten
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

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.

Exercise Sheets

There are exercise sheets available which are not graded or marked:

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

Direktzugang

Schnellnavigation zur Seite über Nummerneingabe