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Solving quadratic equations in many variables

Instantáneas de la actualidad matemática desde Oberwolfach

Solving quadratic equations in many variables

Fields are number systems in which every linear equation has a solution, such as the set of all rational numbers Q or the set of all real numbers R. All fields have the same properties in relation with systems of linear equations, but quadratic equations behave differently from field to field. Is there a field in which every quadratic equation in five variables has a solution, but some quadratic equation in four variables has no solution? The answer is in this snapshot. 

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Área matemática

Álgebra y Teoría de números

Autor(es)

Jean-Pierre Tignol

Licencia

DOI (Identificador de objetos digitales)

10.14760/SNAP-2017-012-EN

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snapshots-2017-012.pdf

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snapshots: overview

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      Área matemática

      Álgebra y Teoría de números
      Análisis
      Didáctica y Educación
      Matemática discreta y Fundamentos
      Geometría y Topología
      Cálculo numérico y científico
      Teoría de la probabilidad y Estadística

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