Abundance conjecture explained

X

with Kawamata log terminal singularities over a field

k

if the canonical bundle

KX

is nef, then

KX

is semi-ample.

Important cases of the abundance conjecture have been proven by Caucher Birkar.[1]

Notes and References

  1. 10.1007/s10240-012-0039-5. Existence of log canonical flips and a special LMMP. Publications Mathématiques de l'IHÉS. 115. 325–368. 2012. Birkar. Caucher. 1104.4981.