From Wikipedia, the free encyclopedia

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 with Kawamata log terminal singularities over a field if the canonical bundle is nef, then is semi-ample.

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

References

  1. ^ Birkar, Caucher (2012). "Existence of log canonical flips and a special LMMP". Publications Mathématiques de l'IHÉS. 115: 325–368. arXiv: 1104.4981. doi: 10.1007/s10240-012-0039-5.
From Wikipedia, the free encyclopedia

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 with Kawamata log terminal singularities over a field if the canonical bundle is nef, then is semi-ample.

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

References

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

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