A tale of three curves

Schnappschüsse moderner Mathematik aus 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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Mathematisches Fachgebiet

Algebra und Zahlentheorie

Autor(en)

Jennifer S. Balakrishnan

Lizenz

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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Characterizations of intrinsic volumes on convex bodies and convex functions
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The Enigma behind the Good–Turing formula
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Reflections on hyperbolic space
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Ultrafilter methods in combinatorics
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Zopfgruppen, die Yang–Baxter-Gleichung und Unterfaktoren
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Invitation to quiver representation and Catalan combinatorics
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C∗-algebras: structure and classification
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Quantum symmetry
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Determinacy versus indeterminacy
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Vertex-to-Self Trajectories on the Platonic Solids
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Profinite groups
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Matrixfaktorisierungen
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Dirichlet Series

Mathematisches Fachgebiet

Algebra und Zahlentheorie
Analysis
Didaktik und Bildung
Diskrete Mathematik und Grundlagen
Geometrie und Topologie
Numerik und Wissenschaftliches Rechnen
Wahrscheinlichkeitstheorie und Statistik

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Chemie und Geowissenschaft
Informatik
Ingenieurwissenschaft und Technik
Finanzwesen
Geistes- und Sozialwissenschaft
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Überlegungen zur Mathematik

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