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Elliptische Kurven Mit Einem Blick in Die Zahlentheorie: Reduktionstheorie. Rationale Punkte. Modularität.
Paperback
Series: Essentials
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ISBN13: 9783662735473
Publisher: Springer Spektrum
Published: Oct 15 2026
Pages: 60
Language: German
Dieses Springer essential bietet eine kompakte und strukturierte Einführung in die arithmetische Geometrie elliptischer Kurven. Ausgehend von der Reduktionstheorie über p-adischen Körpern spannt der Text den Bogen zu globalen diophantischen Phänomenen, wobei er zentrale zahlentheoretische Resultate wie die Hasse-Schranke, den Satz von Mordell und die Vermutung von Birch und Swinnerton-Dyer thematisiert.
Abschlie end werden die Konstruktion ℓ-adischer Galois-Darstellungen, der Modularitätssatz und der Beweis des Gro en Fermatschen Satzes mathematisch präzise skizziert.Also from
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