Castelnuovo–de Franchis theorem
= Castelnuovo–de Franchis theorem
{wiki=Castelnuovo–de_Franchis_theorem}
The Castelnuovo–de Franchis theorem is a result in algebraic geometry that deals with the embedding of algebraic curves in projective space. More specifically, it provides conditions under which a non-singular projective curve can be embedded into projective space of a certain dimension based on its genus and the degree of a line bundle.