Projective algebraic variety: Difference between revisions

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A '''projective algebraic variety''' (or simply '''projective variety''') is an irreducible closed subset of the [[projective space]] over a [[field]], equipped with the [[Zariski topology]].
A '''projective algebraic variety''' (or simply '''projective variety''') is an irreducible closed subset of the [[projective space]] over a [[field]], equipped with the [[Zariski topology]].
We often assume that the underlying field is [[algebraically closed field|algebraically closed]].


==Related notions==
==Related notions==

Revision as of 11:52, 20 August 2007

Template:Variety notion

Definition

A projective algebraic variety (or simply projective variety) is an irreducible closed subset of the projective space over a field, equipped with the Zariski topology.

We often assume that the underlying field is algebraically closed.

Related notions