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Fakultät für Mathematik Universität Regensburg

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Algebraic Geometry II
Semester
SoSe 2020

Lecturer
Prof. Dr. Klaus Kuennemann

Type of course (Veranstaltungsart)
Vorlesung

Contents
We continue our introduction to algebraic geometry. We discuss coherent sheaves, divisors, line
bundles, differentials, projective morphisms, ample line bundles, blowing up etc. and (if time
permits) apply them to develop the basic theory of algebraic curves. As a prerequisite a good
knowledge of Commutative Algebra and Algebraic Geometry I is assumed. The course is fundamental for
all students who plan to specialize in the direction of Arithmetic Geometry (MArGeo).

Recommended previous knowledge
Algebraic Geometry I

Time/Date
Mo, Do 10h15 - 12h00

Location
M103 (Mo), M104 (Do)

Registration
  • Preliminary registration for the organisation of exercise classes: at the end of the previous
    semester via EXA or LSF (see announcement by the department)
  • Registration for the exercise classes: During the first week of the teaching period. More
    information will be given in the lecture.
  • Registration for course work/examination/ECTS: FlexNow
Course work (Studienleistungen)
  • Successful participation in the exercise classes: Active participation and the presentation of
    solutions to exercises at the blackboard: Each participant has to present at least two
    solutions, at least one from the exercise sheets 1-6 and at least one from the exercise sheets
    7-12. Furthermore written solutions to the exercises have to be submitted (at least 25%
    successful solutions from sheet 1-6 and at least 25% successful solutions from sheet 7-12).
Examination (Prüfungsleistungen)
  • Written exam: Duration: 120 min, Date: Tuesday August 4th 2020, re-exam: Date: Wednesday
    September 9th 2020
  • Combined exam in agreement with the lecturer in combination with, e.g.: Algebraic geometry I,
    oral exam: Duration: 30 minutes, Date: by individual appointment
Regelungen bei Studienbeginn vor WS 2015 / 16
  • Benotet:
    • O. g. Studienleistung und o. g. Prüfungsleistung; die Note ergibt sich aus der Prüfungsleistung
  • Unbenotet:
    • O. g. Studienleistung und Bestehen der o. g. Prüfungsleistung
Modules
BV, MV, MArGeo, LA-GyAlg

ECTS
9 ECTS
Druckansicht