Solving quadratic equations in many variables

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 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.	en
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
dc.identifier.urn	urn:nbn:de:101:1-201802289031
dc.identifier.ppn	165931402X

Except where otherwise noted, this item's license is described as Attribution-ShareAlike 4.0 International