Moduli scheme: Difference between revisions

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{{short description|Moduli space in the Grothendieck category of schemes}}

In [[mathematics]], a '''moduli scheme''' is a [[moduli space]] that exists in the [[category of schemes]] developed by [[Alexander Grothendieck]]. Some important [[moduli problem]]s of [[algebraic geometry]] can be satisfactorily solved by means of [[scheme theory]] alone, while others require some extension of the 'geometric object' concept ([[algebraic space]]s, [[algebraic stack]]s of [[Michael Artin]]).

In [[mathematicsalgebraic geometry]], a '''moduli scheme''' is a [[moduli space]] that exists in the [[category of schemes]] developed by French mathematician [[Alexander Grothendieck]]. Some important [[moduli problem]]s of [[algebraic geometry]] can be satisfactorily solved by means of [[scheme theory]] alone, while others require some extension of the 'geometric object' concept ([[algebraic space]]s, [[algebraic stack]]s of [[Michael Artin]]).

==History==