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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.

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

    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

    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.

    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

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