Source: wikibot/nagata-s-conjecture-on-curves
= Nagata's conjecture on curves
{wiki=Nagata's_conjecture_on_curves}
Nagata's conjecture on curves pertains to the study of algebraic curves and their embeddings in projective space. Specifically, it concerns the question of whether every algebraic curve can be realized as a non-singular projective curve in a projective space of sufficiently high dimension.