A tale of three curves

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Date
2022
Volume
10/2022
Issue
Journal
Series Titel
Snapshots of Modern Mathematics from Oberwolfach
Book Title
Publisher
Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach gGmbH
Abstract

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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License
CC BY-SA 4.0 Unported