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 [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

    Vorlesungszeiten
    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)
    ------ Links: ------

    Zusatzinformationen / Extras

    Direktzugang

    Schnellnavigation zur Seite über Nummerneingabe

    Copyright TU Berlin 2008