dc.contributor.author Tignol, Jean-Pierre dc.contributor.editor Jahns, Sophia dc.contributor.editor Randecker, Anja dc.contributor.editor Cederbaum, Carla dc.date.accessioned 2018-02-27T14:58:48Z dc.date.available 2018-02-27T14:58:48Z dc.date.issued 2017-12-30 dc.identifier.uri http://publications.mfo.de/handle/mfo/1335 dc.description.abstract Fields are number systems in which every linear equation en has a solution, such as the set of all rational numbers $\mathbb{Q}$ or the set of all real numbers $\mathbb{R}$. 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. dc.language.iso en en dc.publisher Mathematisches Forschungsinstitut Oberwolfach en dc.relation.ispartofseries Snapshots of modern mathematics from Oberwolfach;2017,12 dc.rights Attribution-ShareAlike 4.0 International * dc.rights.uri http://creativecommons.org/licenses/by-sa/4.0/ * dc.title Solving quadratic equations in many variables en dc.type Article en dc.identifier.doi 10.14760/SNAP-2017-012-EN local.series.id SNAP-2017-012-EN local.subject.snapshot Algebra and Number Theory
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