Source: wikibot/zariski-s-finiteness-theorem
= Zariski's finiteness theorem
{wiki=Zariski's_finiteness_theorem}
Zariski's finiteness theorem is a result in algebraic geometry, particularly concerning the structure of varieties over fields, particularly over algebraically closed fields. The theorem is named after Oscar Zariski, a prominent figure in the development of modern algebraic geometry. The essence of the theorem deals with the behavior of morphisms between algebraic varieties.