Abundance conjecture for varieties of Kodaira dimension minus infinity

Let YY be a smooth projective variety. A variety is uniruled if through a general point of YY there passes a rational curve. Abundance conjecture. If κ(Y)=\kappa(Y)=-\infty, then YY is uniruled. This is the second standard conjecture recalled in the source as part of the minimal model program and abundance framework.

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Primary source

Stefan Kebekus and Sandor Kovacs, “Families of varieties of general type over compact bases”, arXiv:0704.2556 (2007).

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