Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-40-19-K-6

Elliptic Functions and Elliptic Curves (2V, 3.0 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
2 V Lecture 3.0 CP 28 h 62 h
(2V) 3.0 CP 28 h 62 h

Basedata

SWS 2V
CP, Effort 3.0 CP = 90 h
Position of the semester 1 Sem. irreg.
Level [6] Master (General)
Language [EN] English
Lecturers
+ further Lecturers of the department Mathematics
Area of study [MAT-AGCA] Algebra, Geometry and Computer Algebra
Additional informations
Livecycle-State [NORM] Active

Contents

  • elliptic functions, Weierstrass P-function,
  • complex tori,
  • plane geometry and geometric construction of a group structure,
  • elliptic curves,
  • modular forms, modular curves, and classification theory of elliptic curves.

Literature

  • W. Fischer, I. Lieb: Funktionentheorie,
  • G. Fischer: Ebene algebraische Kurven,
  • J .Silverman: The Arithmetic of Elliptic Curves.

Materials

Further literature will be announced in the lecture.

References to Course [MAT-40-19-K-6]

Module Name Context
[MAT-40-19-M-6] Elliptic Functions and Elliptic Curves P: Obligatory 2V, 3.0 LP
Course-Pool Name
[MAT-40-2V-KPOOL-4] Elective Courses Algebra, Geometry and Computeralgebra (2V, B.Sc.)