A tale of three curves

Oberwolfach'tan

A tale of three curves

In this snapshot, we give a survey of some problems in the study of rational points on higher genus curves, discussing questions ranging from the era of the ancient Greeks to a few posed by mathematicians of the 20th century. To answer these questions, we describe a selection of techniques in modern number theory that can be used to determine the set of rational points on a curve.

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Matematiksel konular

Cebir ve Sayılar Kuramı

Yazar(lar)

Jennifer S. Balakrishnan

Lisans

CC BY-SA-4.0

DOI (Dijital nesne belirteci)

10.14760/SNAP-2022-010-EN

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snapshot-2022-010.pdf

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Matematiksel konular

Cebir ve Sayılar Kuramı

Analiz

Eğitim ve Eğitim Bilimi

Ayrık Matematik ve Matematiğin Temelleri

Geometri ve Topoloji

Nümerik ve Hesap Analizi

Olasılık Kuramı ve İstatistik

Diğer alanlarla ilişkiler

Kimya ve Yer Bilimler

Bilgisayar Bilimeri

Mühendislik ve Teknoloji

Finans

Beşeri ve Sosyal Bilimler

Yaşam Bilimleri

Fizik

Matematik Üzerine Düşünceler

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