In algebraic geometry, the abundance conjecture is a conjecture in birational geometry, more precisely in the minimal model program, stating that for every projective variety X {\displaystyle X} with Kawamata log terminal singularities over a field k {\displaystyle k} if the canonical bundle K X {\displaystyle K_{X}} is nef, then K X {\displaystyle K_{X}} is semi-ample, i.e. m K X {\displaystyle mK_{X}} is base-point free for some m > 0 {\displaystyle m>0} .
In algebraic geometry, the abundance conjecture is a conjecture in birational geometry, more precisely in the minimal model program, stating that for every projective variety X {\displaystyle X} with Kawamata log terminal singularities over a field k {\displaystyle k} if the canonical bundle K X {\displaystyle K_{X}} is nef, then K X {\displaystyle K_{X}} is semi-ample, i.e. m K X {\displaystyle mK_{X}} is base-point free for some m > 0 {\displaystyle m>0} .
Source: Wikipedia "Abundance conjecture" · CC BY-SA 4.0
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