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Fakultät für Mathematik Universität Regensburg
Algebraic Number Theory I
Semester
WiSe 2018 / 19

Lecturer
Walter Gubler

Type of course (Veranstaltungsart)
Vorlesung

Contents
This course gives an introduction to algebraic number theory. Together with the course on
Algebraic Geometry this course can serve as a basis for further specialization in the area of
arithmetic geometry. We treat number fields, rings of algebraic integers, Dedekind domains,
Minkowski's lattice point theory, finiteness of class numbers, Dirichlet's unit theorem,
ramification theory, local fields, valuations, and the product formula.

Literature
Literature: Froehlich, Taylor, Algebraic Number Theory, Cambridge University Press Lang, Algebraic
Number Theory, Springer Neukirch, Algebraic Number Theory, Springer Neukirch, Algebraische
Zahlentheorie, Springer

Recommended previous knowledge
Algebra

Time/Date
Tuesday, Thursday: 8-10

Location
Tue: M104; Thu: M103

Registration
  • Preliminary registration for the organisation of exercise classes: at the end of the previous
    semester via HIS/LSF (see announcement by the department)
  • Registration for course work/examination/ECTS: FlexNow
Course work (Studienleistungen)
  • Successful participation in the exercise classes: 50% of points in the exercises.
Examination (Prüfungsleistungen)
  • Written exam: Duration: 2 hours, Date: to be announced, re-exam: Date: to be announced
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
Modules
BV, MV, MArGeo

ECTS
9
Druckansicht