Short models of global fields
Jean-Marc Couveignes

TL;DR
This paper introduces compact models for representing complex mathematical structures called function fields and number fields, aiming to simplify their analysis and computation.
Contribution
It presents novel methods for creating concise descriptions of global fields, improving understanding and efficiency in their study.
Findings
Compact descriptions successfully represent complex fields
Methods enable faster computations in number theory
Potential applications in cryptography and algebraic geometry
Abstract
We construct compact descriptions of function fields and number fields.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Numerical methods for differential equations · Quantum chaos and dynamical systems
