Nakai–Moishezon criterion

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf algebraic geometry theorem
gptkbp:appliesTo projective varieties
gptkbp:concerns ample divisors
gptkbp:field gptkb:algebraic_geometry
https://www.w3.org/2000/01/rdf-schema#label Nakai–Moishezon criterion
gptkbp:namedAfter Boris Moishezon
Yukiyoshi Nakai
gptkbp:publishedIn 1950s
gptkbp:relatedTo Kleiman criterion
gptkbp:state A divisor D on a projective variety is ample if and only if D^d > 0 for every d-dimensional subvariety.
gptkbp:usedFor characterizing ampleness of divisors
gptkbp:bfsParent gptkb:Seshadri_constant
gptkbp:bfsLayer 7