Strukturbaum
Keine Einordnung ins Vorlesungsverzeichnis vorhanden.
Veranstaltung ist aus dem Semester
WiSe 2020/21
, Aktuelles Semester: SoSe 2024
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Seminar on Algebraic Geometry Sprache: Englisch Keine Belegung möglich | |||||||||||
(Keine Nummer) Seminar WiSe 2020/21 keine Übernahme https://www.esaga.uni-due.de/massimo.bertolini/teaching/ | |||||||||||
Lehreinheit: | Mathematik | ||||||||||
Zugeordnete Lehrperson: | Bertolini | ||||||||||
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Termin: | Montag 16:00 - 18:00 wöch. | ||||||||||
Bemerkung: | Seminar format: The seminar will take place at the indicated time in video-conference via Zoom. Details will be posted on the Moodle page of the seminar in due time.
Tentative program: The seminar gives an introduction to the arithmetic theory of elliptic curves. Special attention will be given to the arithmetic invariants of an elliptic curve defined over a number field, such as its group of rational points, its Selmer group and its Shafarevich-Tate group. The main goal is to prove the Mordell-Weil theorem on the finite generation of the group of rational points.
Selected bibliography:
J. Silverman, J. Tate, Rational points on elliptic curves, Springer-Verlag.
J. Silverman, The arithmetic of elliptic curves, 2nd edition, Springer-Verlag.
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