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A tale of three curves

Snapshots of modern mathematics from Oberwolfach

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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Mathematical subjects

Algebra and Number Theory

Author(s)

Jennifer S. Balakrishnan

License

DOI (Digital Object Identifier)

10.14760/SNAP-2022-010-EN

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snapshot-2022-010.pdf

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snapshots: overview

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      Mathematical subjects

      Algebra and Number Theory
      Analysis
      Didactics and Education
      Discrete Mathematics and Foundations
      Geometry and Topology
      Numerics and Scientific Computing
      Probability Theory and Statistics

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      Chemistry and Earth Science
      Computer Science
      Engineering and Technology
      Finance
      Humanities and Social Sciences
      Life Science
      Physics
      Reflections on Mathematics

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